In last slide I have mentioned Srinivasa Ramanujan D.O.B. as
22.12.1987. I am extremely sorry for that. Please read it as 22.12.1887. Thanks to my friend Smt. Indira, who brought it to my notice.
Srinivasa Ramanujan Aiyangar was an Indian mathematician born in 1887 in India. He showed great talent and self-taught himself advanced mathematics from a young age. In 1913, he sent letters containing his original mathematical research to professors in Cambridge University. This led to him receiving a scholarship to study at Trinity College, Cambridge where he collaborated with professor G.H. Hardy and made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. Despite dying young at the age of 32, Ramanujan made substantial contributions to mathematical research.
Ramanujan was born in 1887 in India and showed extraordinary talent in mathematics from a young age through his notebooks of original mathematical discoveries. He met the mathematician Hardy, who helped bring Ramanujan's work to the attention of the wider mathematics community and invited him to study at Cambridge University in England. Although Ramanujan made many profound contributions before his untimely death at age 32, his work continued to inspire mathematicians for years to come through theorems, formulas, and the notebooks he left behind.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having no formal training in pure mathematics. He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan received recognition after sending letters containing his original mathematical ideas to G.H. Hardy of Cambridge University. Hardy arranged for Ramanujan to travel to Cambridge to pursue mathematical research. There, Ramanujan produced new theorems, continued fractions, and functions and worked with Hardy and Littlewood. He was elected a Fellow of the Royal Society and Trinity College, but his health declined and he returned to India, where he died at
Srinivasa Ramanujan was a famous Indian mathematician who made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. Some of his key achievements include formulating the Ramanujan prime and the Hardy-Ramanujan number 1729. He worked with the mathematician G.H. Hardy at Cambridge University but suffered from illness and passed away at the young age of 32. His life and work have been celebrated through films, books, and National Mathematics Day in India.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite his lack of formal training. Some of his key achievements include formulating the Ramanujan prime and discovering the Ramanujan theta function. He worked closely with his mentor, G.H. Hardy, at Cambridge University where he was elected Fellow of the Royal Society. Unfortunately, Ramanujan's life was cut short at the young age of 32, but he left a lasting legacy as one of the greatest mathematicians of all time.
1) Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions.
2) He was mostly self-taught and discovered his talent for mathematics at a young age without access to formal education.
3) In 1913, he wrote a letter to G.H. Hardy including theorems and results that Hardy found extraordinary and helped arrange for Ramanujan to travel to Cambridge University where they collaborated until Ramanujan's death in 1920.
Ramanujan was a renowned Indian mathematician born in 1887 in India. He showed extraordinary talent and self-taught himself advanced mathematics. He struggled to get recognition in India and moved to Cambridge University in England in 1913 where he began collaborating with mathematician G.H. Hardy and made significant contributions before dying young in 1920 at age 32. Ramanujan made substantial unpublished contributions to mathematical analysis, number theory, infinite series, and continued fractions. India now celebrates his achievements and birthday annually with National Mathematics Day.
1) Srinivasa Ramanujan was one of India's greatest mathematical geniuses who made substantial contributions to analytical number theory, elliptic functions, and infinite series.
2) He was mostly self-taught and showed extraordinary talent from a young age, mastering advanced mathematical concepts from books he received.
3) Ramanujan struggled for recognition in India but eventually his work was brought to the attention of the English mathematician G.H. Hardy, who helped arrange for Ramanujan to travel to Cambridge University in 1914 where he spent five productive years collaborating before falling ill and returning to India, where he passed away in 1920.
Srinivasa Ramanujan Aiyangar was an Indian mathematician born in 1887 in India. He showed great talent and self-taught himself advanced mathematics from a young age. In 1913, he sent letters containing his original mathematical research to professors in Cambridge University. This led to him receiving a scholarship to study at Trinity College, Cambridge where he collaborated with professor G.H. Hardy and made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. Despite dying young at the age of 32, Ramanujan made substantial contributions to mathematical research.
Ramanujan was born in 1887 in India and showed extraordinary talent in mathematics from a young age through his notebooks of original mathematical discoveries. He met the mathematician Hardy, who helped bring Ramanujan's work to the attention of the wider mathematics community and invited him to study at Cambridge University in England. Although Ramanujan made many profound contributions before his untimely death at age 32, his work continued to inspire mathematicians for years to come through theorems, formulas, and the notebooks he left behind.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having no formal training in pure mathematics. He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan received recognition after sending letters containing his original mathematical ideas to G.H. Hardy of Cambridge University. Hardy arranged for Ramanujan to travel to Cambridge to pursue mathematical research. There, Ramanujan produced new theorems, continued fractions, and functions and worked with Hardy and Littlewood. He was elected a Fellow of the Royal Society and Trinity College, but his health declined and he returned to India, where he died at
Srinivasa Ramanujan was a famous Indian mathematician who made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. Some of his key achievements include formulating the Ramanujan prime and the Hardy-Ramanujan number 1729. He worked with the mathematician G.H. Hardy at Cambridge University but suffered from illness and passed away at the young age of 32. His life and work have been celebrated through films, books, and National Mathematics Day in India.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite his lack of formal training. Some of his key achievements include formulating the Ramanujan prime and discovering the Ramanujan theta function. He worked closely with his mentor, G.H. Hardy, at Cambridge University where he was elected Fellow of the Royal Society. Unfortunately, Ramanujan's life was cut short at the young age of 32, but he left a lasting legacy as one of the greatest mathematicians of all time.
1) Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions.
2) He was mostly self-taught and discovered his talent for mathematics at a young age without access to formal education.
3) In 1913, he wrote a letter to G.H. Hardy including theorems and results that Hardy found extraordinary and helped arrange for Ramanujan to travel to Cambridge University where they collaborated until Ramanujan's death in 1920.
Ramanujan was a renowned Indian mathematician born in 1887 in India. He showed extraordinary talent and self-taught himself advanced mathematics. He struggled to get recognition in India and moved to Cambridge University in England in 1913 where he began collaborating with mathematician G.H. Hardy and made significant contributions before dying young in 1920 at age 32. Ramanujan made substantial unpublished contributions to mathematical analysis, number theory, infinite series, and continued fractions. India now celebrates his achievements and birthday annually with National Mathematics Day.
1) Srinivasa Ramanujan was one of India's greatest mathematical geniuses who made substantial contributions to analytical number theory, elliptic functions, and infinite series.
2) He was mostly self-taught and showed extraordinary talent from a young age, mastering advanced mathematical concepts from books he received.
3) Ramanujan struggled for recognition in India but eventually his work was brought to the attention of the English mathematician G.H. Hardy, who helped arrange for Ramanujan to travel to Cambridge University in 1914 where he spent five productive years collaborating before falling ill and returning to India, where he passed away in 1920.
History of Ramanujam And His ContributionsVamshi TG
This document provides biographical information about Srinivasa Ramanujan. It states that he was born in 1887 in Erode, India and died in 1920 in Chennai, India. Despite facing obstacles in his formal education, he was able to master advanced mathematics on his own and gained recognition for his works in number theory. He went on to work as a clerk but continued his mathematical research. He was later invited to study at Cambridge University in England, where he made significant contributions before his untimely death at age 32.
Srinivasa ramanujan a great indian mathematicianKavyaBhatia4
Srinivasa Ramanujan was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. He developed his mathematical abilities largely through self-study and had a natural genius for mathematics. Ramanujan received recognition during his lifetime, including being elected as a Fellow of the Royal Society, but he died young at age 32. Even on his deathbed, he was working on theorems. His notebooks contained thousands of results without proofs that mathematicians have since worked to prove. Ramanujan's life and accomplishments have inspired biographies and films that highlight his brilliance in mathematics that was largely self-taught.
Srinivasa Ramanujan A great INDIAN MATHEMATICIANSchooldays_6531
We Indians are not too great but we have some GREATEST personalities like Aryabhatta -- Who gave the world ZERO
This is a small presentation on life history of Srinivasa Ramanujan.
Please LIKE and SHARE.
- Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions with almost no formal training.
- He initially developed his skills in isolation in India before gaining recognition from mathematicians. He then began a famous partnership with the English mathematician G.H. Hardy at Cambridge University in England.
- Ramanujan received a Bachelor of Science by research from Cambridge for his work on highly composite numbers. He was also elected a Fellow of the Royal Society, becoming one of the youngest Fellows in the society's history.
this was given at LVK ,Almora....both presentation were presented in a lucid manner....which provide me Ist prise for twice....really it was a good experience...
Shrinivasa Ramanujan was a renowned Indian mathematician born in 1887 in Tamil Nadu. He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics. Some of his key accomplishments included formulating the Ramanujan prime, the Ramanujan theta function, and pioneering work on mock modular forms and partition theory. He collaborated with English mathematician G.H. Hardy and produced nearly 3,900 results, though he unfortunately died young in 1920 at the age of 32. Ramanujan is celebrated annually in India and considered one of the greatest mathematicians of all time.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics. He displayed remarkable talent and intuition for mathematical theories from a young age. Although he struggled with poverty and lack of education, Ramanujan's work attracted the attention of mathematician G.H. Hardy, who helped bring Ramanujan to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research until his untimely death at age 32 from illness. His notebooks contained thousands of results that have inspired continued research by mathematicians seeking to understand his insights and theorems.
Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. He showed great aptitude for mathematics from a young age, mastering advanced concepts independently without formal training. Ramanujan struggled for recognition in India but eventually gained the support of G.H. Hardy in England. Working with Hardy, Ramanujan made advances in partition theory and the Riemann zeta function before dying at age 32.
Srinivasa Ramanujan (1887-1920) was a renowned Indian mathematician who made extensive contributions to mathematical analysis, number theory, infinite series, and continued fractions. He had almost no formal training in pure mathematics but had a natural genius and aptitude in the field. Ramanujan's work attracted the attention of the English mathematician G.H. Hardy, who helped Ramanujan move to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research before passing away at a young age. His work inspired entire new areas of mathematics and earned him recognition as one of the greatest mathematicians of all time.
National Mathematics Day in India is celebrated on December 22nd to honor the mathematician Srinivasa Ramanujan. Ramanujan made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He secured a job as a clerk which allowed him to devote significant time to his mathematical discoveries, and his manager encouraged him and helped get his work noticed by mathematician G.H. Hardy at Cambridge University.
S. Ramanujan was a renowned Indian mathematician born in 1887 in Tamil Nadu. He made extensive contributions to mathematical analysis, number theory, infinite series, and continued fractions. Some of his key achievements included developing new theorems regarding partition functions, elliptic functions, highly composite numbers, and discovering the Ramanujan prime and the Ramanujan theta function. Despite his untrained background, he was elected to the Fellowship of the Royal Society due to his exceptional genius and intuition for mathematical discoveries. He collaborated extensively with English mathematician G.H. Hardy and produced nearly 3,900 results, though most were without proof. Ramanujan passed away in 1920 at the young age of 32 due to illness.
(1) Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics.
(2) He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age, mastering advanced mathematical concepts including trigonometry at age 13.
(3) Ramanujan received recognition for his genius and was invited to study at Trinity College, Cambridge in England. However, he struggled with the climate and culture in England and his health declined, and he ultimately returned to India where he passed away in 1920 at the young age of 32.
Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. He developed his own theorems and ideas after discovering a book of mathematical results as a teenager. Ramanujan struggled to find employment due to pursuing mathematics instead of other studies. He gained recognition after publishing his first paper in 1911 and corresponding with the British mathematician G.H. Hardy. Despite religious objections, Ramanujan traveled to England in 1914 where he collaborated with Hardy and made further advances, especially in partitioning numbers. He was elected to the Royal Society of London but died in 1920 at the young age of 32, having made pioneering discoveries and being recognized as a mathematical genius.
Srinivasa Ramanujan was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, and infinite series. He had almost no formal training but was a natural genius who developed his own mathematical research in isolation in India. Some of his most notable work included discovering theorems on his own and re-discovering Euler's identity independently as a young boy. He is renowned for his work on Bernoulli numbers, the Euler-Mascheroni constant, and introducing several analytic functions and infinite series. Ramanujan demonstrated unusual mathematical skills from a young age and conducted his own research on advanced mathematical topics with no college education.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He displayed remarkable talent and intuition for mathematical theories from a young age. Ramanujan received recognition after being invited to work with professor G.H. Hardy at Trinity College, Cambridge. Although he struggled with poor health in England, Ramanujan produced groundbreaking mathematical research and formulas before passing away at a young age in 1920. He is regarded as one of the greatest mathematicians and his contributions continue to have an impact.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having no formal training in pure mathematics. He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan struggled to get recognition until he was introduced to the English mathematician G.H. Hardy through letters containing his original research. Hardy arranged for Ramanujan to work at Cambridge University where he spent the last years of his life conducting groundbreaking mathematical research before passing away in 1920 at the young age of 32. Ramanujan made substantial contributions to mathematical functions and analysis and continues to have a significant impact on mathematics despite his short life
"Dr. Dwarakanath Kotnis" Lesson prescribed for Class VIII English by SCERT of Telangana & Andhra Pradesh States. PPT prepared by M Padma Lalitha Sharada.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He was born in 1887 in a small village in India and showed a strong aptitude for mathematics from a young age, teaching himself advanced mathematical concepts from books. Despite facing health and financial issues that prevented him from attending university, he gained recognition for his brilliant work on mathematical theories and continued to make significant contributions on his own.
History of Ramanujam And His ContributionsVamshi TG
This document provides biographical information about Srinivasa Ramanujan. It states that he was born in 1887 in Erode, India and died in 1920 in Chennai, India. Despite facing obstacles in his formal education, he was able to master advanced mathematics on his own and gained recognition for his works in number theory. He went on to work as a clerk but continued his mathematical research. He was later invited to study at Cambridge University in England, where he made significant contributions before his untimely death at age 32.
Srinivasa ramanujan a great indian mathematicianKavyaBhatia4
Srinivasa Ramanujan was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. He developed his mathematical abilities largely through self-study and had a natural genius for mathematics. Ramanujan received recognition during his lifetime, including being elected as a Fellow of the Royal Society, but he died young at age 32. Even on his deathbed, he was working on theorems. His notebooks contained thousands of results without proofs that mathematicians have since worked to prove. Ramanujan's life and accomplishments have inspired biographies and films that highlight his brilliance in mathematics that was largely self-taught.
Srinivasa Ramanujan A great INDIAN MATHEMATICIANSchooldays_6531
We Indians are not too great but we have some GREATEST personalities like Aryabhatta -- Who gave the world ZERO
This is a small presentation on life history of Srinivasa Ramanujan.
Please LIKE and SHARE.
- Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions with almost no formal training.
- He initially developed his skills in isolation in India before gaining recognition from mathematicians. He then began a famous partnership with the English mathematician G.H. Hardy at Cambridge University in England.
- Ramanujan received a Bachelor of Science by research from Cambridge for his work on highly composite numbers. He was also elected a Fellow of the Royal Society, becoming one of the youngest Fellows in the society's history.
this was given at LVK ,Almora....both presentation were presented in a lucid manner....which provide me Ist prise for twice....really it was a good experience...
Shrinivasa Ramanujan was a renowned Indian mathematician born in 1887 in Tamil Nadu. He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics. Some of his key accomplishments included formulating the Ramanujan prime, the Ramanujan theta function, and pioneering work on mock modular forms and partition theory. He collaborated with English mathematician G.H. Hardy and produced nearly 3,900 results, though he unfortunately died young in 1920 at the age of 32. Ramanujan is celebrated annually in India and considered one of the greatest mathematicians of all time.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics. He displayed remarkable talent and intuition for mathematical theories from a young age. Although he struggled with poverty and lack of education, Ramanujan's work attracted the attention of mathematician G.H. Hardy, who helped bring Ramanujan to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research until his untimely death at age 32 from illness. His notebooks contained thousands of results that have inspired continued research by mathematicians seeking to understand his insights and theorems.
Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, and continued fractions. He showed great aptitude for mathematics from a young age, mastering advanced concepts independently without formal training. Ramanujan struggled for recognition in India but eventually gained the support of G.H. Hardy in England. Working with Hardy, Ramanujan made advances in partition theory and the Riemann zeta function before dying at age 32.
Srinivasa Ramanujan (1887-1920) was a renowned Indian mathematician who made extensive contributions to mathematical analysis, number theory, infinite series, and continued fractions. He had almost no formal training in pure mathematics but had a natural genius and aptitude in the field. Ramanujan's work attracted the attention of the English mathematician G.H. Hardy, who helped Ramanujan move to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research before passing away at a young age. His work inspired entire new areas of mathematics and earned him recognition as one of the greatest mathematicians of all time.
National Mathematics Day in India is celebrated on December 22nd to honor the mathematician Srinivasa Ramanujan. Ramanujan made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He secured a job as a clerk which allowed him to devote significant time to his mathematical discoveries, and his manager encouraged him and helped get his work noticed by mathematician G.H. Hardy at Cambridge University.
S. Ramanujan was a renowned Indian mathematician born in 1887 in Tamil Nadu. He made extensive contributions to mathematical analysis, number theory, infinite series, and continued fractions. Some of his key achievements included developing new theorems regarding partition functions, elliptic functions, highly composite numbers, and discovering the Ramanujan prime and the Ramanujan theta function. Despite his untrained background, he was elected to the Fellowship of the Royal Society due to his exceptional genius and intuition for mathematical discoveries. He collaborated extensively with English mathematician G.H. Hardy and produced nearly 3,900 results, though most were without proof. Ramanujan passed away in 1920 at the young age of 32 due to illness.
(1) Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training in pure mathematics.
(2) He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age, mastering advanced mathematical concepts including trigonometry at age 13.
(3) Ramanujan received recognition for his genius and was invited to study at Trinity College, Cambridge in England. However, he struggled with the climate and culture in England and his health declined, and he ultimately returned to India where he passed away in 1920 at the young age of 32.
Srinivasa Ramanujan was an Indian mathematician who made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. He developed his own theorems and ideas after discovering a book of mathematical results as a teenager. Ramanujan struggled to find employment due to pursuing mathematics instead of other studies. He gained recognition after publishing his first paper in 1911 and corresponding with the British mathematician G.H. Hardy. Despite religious objections, Ramanujan traveled to England in 1914 where he collaborated with Hardy and made further advances, especially in partitioning numbers. He was elected to the Royal Society of London but died in 1920 at the young age of 32, having made pioneering discoveries and being recognized as a mathematical genius.
Srinivasa Ramanujan was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, and infinite series. He had almost no formal training but was a natural genius who developed his own mathematical research in isolation in India. Some of his most notable work included discovering theorems on his own and re-discovering Euler's identity independently as a young boy. He is renowned for his work on Bernoulli numbers, the Euler-Mascheroni constant, and introducing several analytic functions and infinite series. Ramanujan demonstrated unusual mathematical skills from a young age and conducted his own research on advanced mathematical topics with no college education.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having little formal training. He displayed remarkable talent and intuition for mathematical theories from a young age. Ramanujan received recognition after being invited to work with professor G.H. Hardy at Trinity College, Cambridge. Although he struggled with poor health in England, Ramanujan produced groundbreaking mathematical research and formulas before passing away at a young age in 1920. He is regarded as one of the greatest mathematicians and his contributions continue to have an impact.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having no formal training in pure mathematics. He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan struggled to get recognition until he was introduced to the English mathematician G.H. Hardy through letters containing his original research. Hardy arranged for Ramanujan to work at Cambridge University where he spent the last years of his life conducting groundbreaking mathematical research before passing away in 1920 at the young age of 32. Ramanujan made substantial contributions to mathematical functions and analysis and continues to have a significant impact on mathematics despite his short life
"Dr. Dwarakanath Kotnis" Lesson prescribed for Class VIII English by SCERT of Telangana & Andhra Pradesh States. PPT prepared by M Padma Lalitha Sharada.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He was born in 1887 in a small village in India and showed a strong aptitude for mathematics from a young age, teaching himself advanced mathematical concepts from books. Despite facing health and financial issues that prevented him from attending university, he gained recognition for his brilliant work on mathematical theories and continued to make significant contributions on his own.
This document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has unusual properties beyond just having the sums of rows, columns and diagonals equal: the sums of the corner numbers, numbers in colored boxes, and central squares all equally 139. Most remarkably, the date of Ramanujan's birth - 22nd December 1887 - corresponds to the numbers in the first row of the magic square.
Great indian mathmatician -srinivasan ramanujanMahip Singh
Srinivasa Ramanujan was a mathematical genius born in 1887 in India. He showed great mathematical ability from a young age through self-study. Despite facing many struggles due to lack of funds and proper education, he gained recognition for his work. In 1913, he received a letter of support from mathematician G.H. Hardy, and was eventually brought to Trinity College, Cambridge in 1914, where he spent the last years of his life producing groundbreaking mathematical work before passing away in 1920 at a young age.
Srinivasa Ramanujan (1887-1920) was a renowned Indian mathematician. He showed early signs of genius in mathematics as a child. He was self-taught and made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. Ramanujan developed his own theorems and results without any formal training. He was recognized by mathematicians in England and his work was found to be of extraordinary significance. However, he struggled with poor health and poverty, and ultimately died young at the age of 32 in India. Ramanujan is celebrated annually in India on his birthday as a brilliant mathematician who made major contributions despite facing disadvantages.
The document describes a magic square created by the mathematician Srinivasa Ramanujan. The magic square has the unique property that the sum of any row, column, diagonal, group of corner numbers, or group of similarly colored boxes is 139. Remarkably, Ramanujan's date of birth, 22nd Dec 1887, is also represented within the magic square.
Stephen Hawking was born in Oxford, England in 1942 and studied physics at university. He went on to become a professor of mathematics at Cambridge despite being diagnosed with ALS at a young age. Though his condition worsened over time and he became fully paralyzed, he continued his groundbreaking work in physics and cosmology using a computer system to communicate. Hawking authored books and papers, gave lectures, and was honored with numerous awards. He inspired many with his determination to overcome his disabilities through his scientific achievements.
Este documento presenta una actividad realizada con estudiantes de décimo grado para aprender sobre el número pi. Los estudiantes investigaron la historia de pi, obtuvieron su valor usando materiales como círculos de CD, y analizaron las diferencias en los resultados debido a limitaciones en la precisión de las medidas. La actividad les permitió comprender mejor la naturaleza irracional de pi y el concepto de error en mediciones.
The document discusses several types of discrete probability distributions:
- Bernoulli distribution models experiments with two outcomes and is defined by the probability of success.
- Binomial distribution describes repeated Bernoulli trials and is defined by the number of trials and probability of success.
- Poisson distribution describes the number of occurrences within a time period and is defined by the average number of occurrences.
- Hypergeometric distribution describes sampling without replacement and is defined by the population size, sample size, and number of successes in the population.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses, making substantial contributions to analytical number theory and working on elliptic functions, continued fractions, and infinite series. He was born in 1887 in Tamil Nadu, India and showed great mathematical aptitude from a young age. Some of his key works included discovering properties of cyclicity in numbers, identifying the number 1729 as the smallest number expressible as the sum of two cubes in two different ways, and constructing magic squares in which the sums of all rows, columns and diagonals are equal.
1. The Poisson distribution models the number of discrete events occurring in a fixed interval of time or space if these events happen with a known average rate and independently of the time since the last event.
2. It was first introduced by Siméon Denis Poisson in 1837 to study the number of wrongful convictions in a country.
3. The Poisson distribution can be used when the probability of an event is small but the number of trials is large, such as births in a hospital, particle emissions, or telephone calls to a switchboard.
Indian Mathematicians And Their Contributiondivyanshsngh
The document discusses several notable Indian mathematicians and their contributions, including:
- Srinivasa Ramanujan who made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions.
- Aryabhata who proposed that the earth rotates on its axis and revolves around the sun. He also introduced trigonometric functions and the concept of zero.
- Brahmagupta who established rules for operations involving zero and developed concepts of addition, subtraction, multiplication, and division of negative numbers.
Srinivasa Ramanujan was a renowned Indian mathematician born in 1887 in Tamil Nadu, India. He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Some of his key achievements include formulating the Ramanujan prime, the Ramanujan theta function, and discovering highly composite numbers. The Indian government celebrates December 22nd as National Mathematics Day in honor of his birth anniversary. Ramanujan worked closely with mathematician G.H. Hardy at Trinity College, Cambridge and together they published many papers on advanced mathematical topics. Despite his short life and self-taught background, Ramanujan produced groundbreaking mathematical innovations and inspired many to pursue mathematics.
This document provides biographical details about the mathematician Srinivasa Ramanujan in 3 sections. It outlines his early life and education in India, his collaboration with G.H. Hardy at Trinity College Cambridge from 1914-1919, and highlights some of his seminal contributions to mathematical constants, infinite series, and continued fractions. These include his formulas for computing pi to many decimal places and redefining Euler's constant. The document also mentions some of Ramanujan's mentors and the applications his work has found in fields like physics, computer science, and engineering.
Ramanujan was born in 1887 in India. He showed exceptional talent for mathematics from a young age, mastering advanced concepts by himself as a teenager. Though he lacked a formal degree, he made major contributions to mathematical functions and number theory. In 1909, he came to the attention of the mathematician G. H. Hardy, who helped get Ramanujan's work published. Ramanujan spent from 1914-1919 collaborating with Hardy at Cambridge University, but poor health forced his return to India, where he died in 1920 at age 32. Today he is remembered as one of the greatest mathematicians of all time for entirely original contributions.
Srinivasa Ramanujan was an Indian mathematician who made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions. Some of his key achievements include discovering the Ramanujan summation to assign values to divergent infinite series, deriving the Rogers-Ramanujan continued fraction, and finding remarkable infinite series for pi that enabled computing more decimal places with each term. He also made contributions to theories of numbers, elliptic curves, partition functions, and highly composite numbers. Despite having almost no formal training, Ramanujan made lasting contributions through his extraordinary intuition for mathematical objects and patterns.
History of ramanujan's and his contributions in mathematics by, sandeepsandeep kumar singu
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite his lack of formal training. He was born in 1887 in Tamil Nadu, India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan's work attracted the attention of the English mathematician G.H. Hardy, who brought him to Cambridge University in England. There, Ramanujan continued his groundbreaking mathematical research until his untimely death in 1920 at the age of 32.
Sreenivasa Ramanujan was an Indian mathematician who made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions. Some of his key contributions included discovering the Ramanujan-Hardy asymptotic formula for partition numbers, proving properties of the partition function, deriving infinite series for pi, and making progress on conjectures such as Goldbach's conjecture. He also did important work related to highly composite numbers, elliptic curves, and hypergeometric series.
Srinivasa Ramanujan was a self-taught Indian mathematician who made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions. He was born in 1887 in India and showed an extraordinary aptitude for mathematics from a young age. Ramanujan's work attracted the attention of the English mathematician G.H. Hardy, and in 1914 Ramanujan traveled to Cambridge University in England, where he collaborated with Hardy and other mathematicians. However, Ramanujan's health declined in England due to illness and malnutrition, and he returned to India in 1919, dying there in 1920 at the age of 32. Ramanujan is regarded as one of the greatest mathematicians of his time.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. He was born in 1887 in India and showed remarkable mathematical genius from a very young age, mastering advanced mathematical concepts on his own. Ramanujan received recognition after sending letters containing his original research to G.H. Hardy. He went on to collaborate with Hardy and others at Cambridge University. Despite his untimely death at age 32, Ramanujan made lasting advances in mathematical fields and unlocked new areas of research through his intuitive insights and discoveries recorded in his notebooks.
Srinivasa Ramanujan was a famous Indian mathematician who made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions. He had a natural talent for mathematics and made many complex discoveries on his own. Despite coming from a poor background and having no formal training, he brought impressive theorems and results to the attention of Western mathematicians. Ramanujan collaborated with G.H. Hardy at Cambridge University, where he received his degree. He returned to India at age 32 and continued his research, but sadly died young from illness. Ramanujan's work inspired further research and he is celebrated in India for his mathematical genius.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses, making substantial contributions to analytical number theory and worked on elliptic functions, continued fractions, and infinite series. He was born in 1887 in Tamil Nadu, India and showed great mathematical ability from a young age, though he was unable to complete a college education. Despite his lack of formal training, he gained recognition for his work in mathematics and was elected to the London Mathematical Society in 1918. Ramanujan made many advances in mathematical analysis, number theory, infinite series, and continued fractions. He passed away in 1920 at the young age of 32.
National Mathematics Day Celebration 22 DecemberRakibulSK3
Srinivasa Ramanujan was a great Indian
mathematician . He was born on 22nd December
1887 in Erode (Tamil Nadu) during British
Government .His full name was Srinivasa Iyenger
Ramanujan . His father name was Kuppuswamy
Srinivasa Iyenger and his mother’s name was
Komalatammal. He was enrolled in the Town
higher Secondary School from 1897-1904 , Wherehe encountered formal mathematics for the first Time.
By age 11, he had exhausted the mathematical knowledge of two college students who were lodgers at his home .He was latter lent a book on advanced
trigonometry written by S.L.Loney. He completely mastered on this book by the age of 13 and discovered
Sophisticated theorems on his own . In July 1909,
Ramanujan married S.Janaki Ammal , who was then
Just 10 years old . The Cambridge mathematician
G.H. Hardy arranged for Ramanujan to visit Trinity
College in Cambridge .Ramanujan arrived in Cambridge in 1914 and He completed his graduation from Cambridge University ,London . He made a lot of his theories which are very popular in the world and That is why His theories still get used in lots of countries . He wrote many books Comprising his theories and formulas . He is famous for his contribution to number theory and infinite Series .His birthday is celebrated as National Mathematics Day in India every year .He was died on 26th April 1920 ,at the age of 32 years in Madras . He Worked for a very short period but his teaching are Still alive in many people’s mind and text books .His Contribution in the Field of mathematics has been immense and will be remembered forever.
During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations).[6] Many were completely novel; his original and highly unconventional results, such as the Ramanujan prime, the Ramanujan theta function, partition formulae and mock theta functions, have opened entire new areas of work and inspired a vast amount of further research.[7] Of his thousands of results, all but a dozen or two have now been proven correct.[8] The Ramanujan Journal, a scientific journal, was established to publish work in all areas of mathematics influenced by Ramanujan,[9] and his notebooks—containing summaries of his published and unpublished results—have been analysed and studied for decades since his death as a source of new mathematical ideas. As late as 2012, researchers continued to discover that mere comments in his writings about "simple properties" and "similar outputs" for certain findings were themselves profound and subtle number theory results that remained unsuspected until nearly a century after his death.[10][11] He became one of the youngest Fellows of the Royal Society and only the second Indian member, and the first Indian to be elected a Fellow of Trinity College, Cambridge. Of his original letters, Hardy stated that a single look was enough to show they could have been written only by a mathematician of the highest Ramanujan.
Srinivasa Ramanujan was one of India's greatest mathematical geniuses. He was born in 1887 in a small village in India and showed a natural talent for mathematics from a young age, teaching himself advanced mathematical concepts from books. He struggled to receive a formal education due to financial difficulties but gained recognition for his mathematical abilities and published several papers. Ramanujan is renowned for his contributions to mathematical analysis, number theory, infinite series, and continued fractions.
Srinivasa Ramanujan was a renowned Indian mathematician born in 1887 in India. He made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Despite lacking formal training, he independently compiled nearly 3900 mathematical results. Ramanujan received recognition from G.H. Hardy at Trinity College, Cambridge and was elected as a Fellow of the Royal Society. He worked with Hardy and others before passing away in 1920 at the young age of 32. Ramanujan's work inspired further research and he is regarded as one of the greatest mathematicians of all time.
Srinivasa Ramanujan was an Indian mathematician born in 1887 who made pioneering contributions to the theory of numbers, including the properties of the partition function. He was largely self-taught and demonstrated extraordinary mathematical abilities from a young age. Some of his most famous discoveries include properties of Bernoulli numbers and identifying 1729 as a number expressible as the sum of two cubes in two different ways, now known as the Hardy-Ramanujan number. Despite lacking formal training, he was recognized for his genius and received support to study at the University of Cambridge.
This ppt is on Srinivasa Ramanujan FRS was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having no formal training in mathematics. He was born in 1887 in India and showed an early aptitude for mathematics. Ramanujan's genius was recognized by English mathematician G.H. Hardy, who brought him to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research but fell ill and returned to India, where he passed away in 1920 at the age of 32. Ramanujan made lasting contributions through theorems and results recorded in his notebooks that were studied by mathematicians for decades following his death.
Srinivasa Ramanujan was a renowned Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions despite having no formal training in mathematics. He was born in 1887 in India and showed an early aptitude for mathematics. Ramanujan's genius was recognized by English mathematician G.H. Hardy, who brought him to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research but fell ill and returned to India, dying in 1920 at the age of 32. Ramanujan made major discoveries that have influenced mathematics and he is now celebrated as one of history's greatest mathematical minds.
Srinivasa Ramanujan, Bhaskara I, and Aryabhatta were among 10 famous Indian mathematicians discussed in the document. It summarized their key contributions, such as Ramanujan inventing important equations and infinite series, Bhaskara I inventing the Hindu decimal system and writing works on mathematics and astronomy, and Aryabhatta discovering the spherical earth and works on mathematics and astronomy. The document also summarized other mathematicians like Brahmagupta, P.C. Mahalanobis, Satyendra Nath Bose, D.R. Kaprekar, Shakuntala Devi, Mahavira, and Narendra Karmarkar and their important works and discoveries in
Ramanujan was a renowned Indian mathematician born in 1887 in India. He showed extraordinary talent and self-taught himself advanced mathematics. He struggled to get recognition in India and moved to Cambridge University in England in 1913 where he began collaborating with mathematician G.H. Hardy and made significant contributions before dying young in 1920 at age 32. Ramanujan made substantial unpublished contributions to mathematical analysis, number theory, infinite series, and continued fractions. India now celebrates his achievements and birthday annually with National Mathematics Day.
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Chapter wise All Notes of First year Basic Civil Engineering
Syllabus
Chapter-1
Introduction to objective, scope and outcome the subject
Chapter 2
Introduction: Scope and Specialization of Civil Engineering, Role of civil Engineer in Society, Impact of infrastructural development on economy of country.
Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
Linear Measurements: Instruments used. Linear Measurement by Tape, Ranging out Survey Lines and overcoming Obstructions; Measurements on sloping ground; Tape corrections, conventional symbols. Angular Measurements: Instruments used; Introduction to Compass Surveying, Bearings and Longitude & Latitude of a Line, Introduction to total station.
Levelling: Instrument used Object of levelling, Methods of levelling in brief, and Contour maps.
Chapter 4
Buildings: Selection of site for Buildings, Layout of Building Plan, Types of buildings, Plinth area, carpet area, floor space index, Introduction to building byelaws, concept of sun light & ventilation. Components of Buildings & their functions, Basic concept of R.C.C., Introduction to types of foundation
Chapter 5
Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
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1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
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3. The decision to designate the year 2012 as National Mathematics Year
was announced by Dr Manmohan Singh, Prime Minister of India (at
that time), during the inaugural ceremony of the celebrations to mark the
125th birth anniversary of Srinivasa Ramanujan held at the Madras
University Centenary Auditorium on 26 February 2012.
The Prime Minister also announced that December 22 would be celebrated as
National Mathematics Day from 2012 onwards.
4. In 1900 he began to work on his own on mathematics
summing geometric and arithmetic series.
5. The sum of N odd integers starting after the previous series equals N cubed.
6. The cube which fits perfectly inside this structure is, of
course, 6.6.6, or 216 - the triangular outline of Genesis 1:1!
7. Ramanujan was shown how to solve cubic
equations in 1902 and he went on to find his own
method to solve the quartic.
The following year, not knowing that the quintic
could not be solved by radicals, he tried (and of
course failed) to solve the quintic.
8. It was in the Town High School that Ramanujan
came across a mathematics book by G S Carr called
Synopsis of elementary results in pure mathematics.
This book, with its very concise style, allowed Ramanujan to
teach himself mathematics.
9. By 1904 Ramanujan had begun to undertake deep research.
He investigated the series ∑(1/n) and calculated Euler's
constant to 15 decimal places. He began to study the Bernoulli
numbers, although this was entirely his own independent
discovery.
10. He married on 14 July 1909 when his mother arranged
for him to marry a ten year old girl S Janaki Ammal.
Janaki Ammal
His Mother
With his wife Janaki
11. Ramanujan continued to develop his mathematical
ideas and began to pose problems and solve problems in
the Journal of the Indian Mathematical Society.
He devoloped relations between
elliptic modular equations in 1910.
12. After publication of a brilliant research paper on
Bernoulli numbers in 1911 in the Journal of the
Indian Mathematical Society he gained recognition
for his work.
13. Indeed the University of Madras did give Ramanujan a
scholarship in May 1913 for two years and, in 1914, Hardy
brought Ramanujan to Trinity College, Cambridge, to begin
an extraordinary collaboration.
with friends at
Trinity College
Trinity College, Cambridge
14. Right from the start Ramanujan's collaboration with Hardy
led to important results. On 16 March 1916 Ramanujan
graduated from Cambridge with a Bachelor of Science by
Research (the degree was called a Ph.D. from 1920).
Hardy
15. Ramanujan's dissertation was on Highly composite numbers
and consisted of seven of his papers published in England.
16. On 18 February 1918 Ramanujan was elected a fellow of the Cambridge
Philosophical Society and then three days later, the greatest honour
that he would receive, his name appeared on the list for election as a
fellow of the Royal Society of London.
Royal Society of London
17. His election as a fellow of the Royal Society was confirmed on
2 May 1918, then on 10 October 1918 he was elected a Fellow of
Trinity College Cambridge, the fellowship to run for six years.
His rare
photo
His formulae & Identities
18. Ramanujan worked out the Riemann series, the elliptic
integrals, hypergeometric series and functional equations of
the zeta function.
19. Ramanujan independently discovered results of Gauss, Kummer
and others on hypergeometric series. Ramanujan's own work
on partial sums and products of hypergeometric series have
led to major development in the topic.
20. In a joint paper with Hardy, Ramanujan gave an asymptotic
formula for p(n). It had the remarkable property that it
appeared to give the correct value of p(n).
21. Srinivasa Ramanujan’s Magic Square prepared by
him is really amazing. Sum of any row as well as
sum of any column in this square is 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
22. Sum of any diagonal of this Ramanujan’s magic
square is also 139. Sum of corner numbers also
139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
23. Sum of identical coloured boxes is also 139 in
our Ramanujan’s Magic Square.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
24. Sum of Central squares of our Ramnujan’s
Magic Square is also 139. We also have sums
of identical colored small squares as 139.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
25. We have two more combinations whose sums
are also 139 which are given in identical
colours.
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
22 12 18 87
88 17 9 25
10 24 89 16
19 86 23 11
26. This magic square is based on our great Indian
Mathematician Srinivasa Ramanujan’s Date of
Birth 22.12. 1987. PROUD TO BE AN an INDIAN.
27. A TRIBUTE to great Mathematician SRINIVASA
RAMANUJAN
THANK YOU ONE & ALL - Sharada