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.
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.
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 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
MS. Shakuntala Devi was an Indian mathematician known as the "human computer" for her ability to perform complex calculations at incredible speeds without the use of any mechanical devices. Some of her achievements include solving the 23rd root of a 201-digit number in 50 seconds in 1977. She also multiplied two randomly selected 13-digit numbers in 28 seconds, beating a computer. Devi authored several books and received various awards recognizing her talents, but passed away in 2013 at the age of 83.
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.
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 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 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.
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.
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 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
MS. Shakuntala Devi was an Indian mathematician known as the "human computer" for her ability to perform complex calculations at incredible speeds without the use of any mechanical devices. Some of her achievements include solving the 23rd root of a 201-digit number in 50 seconds in 1977. She also multiplied two randomly selected 13-digit numbers in 28 seconds, beating a computer. Devi authored several books and received various awards recognizing her talents, but passed away in 2013 at the age of 83.
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.
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 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.
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.
Leonhard Euler (1707-1783) was a prolific mathematician and physicist born in Basel, Switzerland. He made seminal contributions to graph theory, number theory, and mathematical analysis. Some of his most important works included establishing foundational concepts like the modern mathematical function f(x), the use of the Greek letter π and e, and Euler's identity relating the most important mathematical constants. He spent much of his career in St. Petersburg, Russia, where he worked at the Imperial Academy of Sciences and established himself as one of the preeminent mathematicians of the 18th century.
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.
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...
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.
The document discusses notable Indian mathematicians throughout history including Srinivasa Ramanujan, Aryabhatta, Bhaskaracharya, Brahma Gupta, Mahavira, and Shakuntala Devi. Some of their key contributions include Ramanujan showing that any big number can be written as the sum of not more than four prime numbers. Aryabhatta was the first to say that Earth is spherical and revolves around the sun. Mahavira separated astrology from mathematics and established terminology for geometric shapes. Shakuntala Devi was known as the "Human Computer" for her incredible mental calculation skills.
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.
- 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.
Leonhard Euler was a pioneering Swiss mathematician and physicist born in 1707. He made significant contributions across many areas of mathematics and physics. Some of his key accomplishments included introducing modern mathematical notation and terminology, developing graph theory and topology through his analysis of the Seven Bridges of Königsberg problem, and making important discoveries in calculus, number theory, mechanics, and optics among other fields. He spent most of his career in St. Petersburg and Berlin, and was one of the most prolific and influential 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 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 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.
This PPT will clarify your all doubts in Arithmetic Progression.
Please download this PPT and if any doubt according to this PPT, please comment , then i will try to solve your problem.
Thank you :)
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 (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.
The document summarizes the contributions of several important ancient and modern mathematicians from India and other parts of the world. Some of the mathematicians mentioned include Aryabhata from ancient India, who made contributions to place value system, approximation of pi, and trigonometry. Srinivasa Ramanujan, an Indian mathematician, made significant contributions to number theory, hypergeometric series, and more. Euclid is described as the "Father of Geometry" and made foundational contributions to geometry and number theory. Archimedes, another important ancient mathematician, discovered principles of buoyancy and methods to calculate areas under curves.
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.
This document contains information about Md. Arifuzzaman, a lecturer in the Department of Natural Sciences at the Faculty of Science and Information Technology, Daffodil International University. It includes his employee ID, designation, department, faculty, personal webpage, email, and phone number. The document also provides an overview of complex numbers, including their history, the number system, definitions of complex numbers, operations like addition and multiplication of complex numbers, and applications of complex numbers.
Presentation on famous mathematicians in indiaFabeenaKMP
(1) Aryabhata was a famous Indian mathematician from the classical age who lived in the 5th century AD. Some of his key contributions included a place value numeral system, approximations of pi, and trigonometric formulas.
(2) Brahmagupta was a 7th century Indian mathematician who is known for being the first to use zero as a number and introduce basic algebraic rules and formulas.
(3) Bhaskara was a 12th century mathematician whose main work Siddhanta Shiromani covered topics in arithmetic, algebra, astronomy and advanced mathematics. He made contributions in calculus, arithmetic progressions, and solving indeterminate equations.
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 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.
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.
Leonhard Euler (1707-1783) was a prolific mathematician and physicist born in Basel, Switzerland. He made seminal contributions to graph theory, number theory, and mathematical analysis. Some of his most important works included establishing foundational concepts like the modern mathematical function f(x), the use of the Greek letter π and e, and Euler's identity relating the most important mathematical constants. He spent much of his career in St. Petersburg, Russia, where he worked at the Imperial Academy of Sciences and established himself as one of the preeminent mathematicians of the 18th century.
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.
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...
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.
The document discusses notable Indian mathematicians throughout history including Srinivasa Ramanujan, Aryabhatta, Bhaskaracharya, Brahma Gupta, Mahavira, and Shakuntala Devi. Some of their key contributions include Ramanujan showing that any big number can be written as the sum of not more than four prime numbers. Aryabhatta was the first to say that Earth is spherical and revolves around the sun. Mahavira separated astrology from mathematics and established terminology for geometric shapes. Shakuntala Devi was known as the "Human Computer" for her incredible mental calculation skills.
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.
- 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.
Leonhard Euler was a pioneering Swiss mathematician and physicist born in 1707. He made significant contributions across many areas of mathematics and physics. Some of his key accomplishments included introducing modern mathematical notation and terminology, developing graph theory and topology through his analysis of the Seven Bridges of Königsberg problem, and making important discoveries in calculus, number theory, mechanics, and optics among other fields. He spent most of his career in St. Petersburg and Berlin, and was one of the most prolific and influential 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 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 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.
This PPT will clarify your all doubts in Arithmetic Progression.
Please download this PPT and if any doubt according to this PPT, please comment , then i will try to solve your problem.
Thank you :)
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 (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.
The document summarizes the contributions of several important ancient and modern mathematicians from India and other parts of the world. Some of the mathematicians mentioned include Aryabhata from ancient India, who made contributions to place value system, approximation of pi, and trigonometry. Srinivasa Ramanujan, an Indian mathematician, made significant contributions to number theory, hypergeometric series, and more. Euclid is described as the "Father of Geometry" and made foundational contributions to geometry and number theory. Archimedes, another important ancient mathematician, discovered principles of buoyancy and methods to calculate areas under curves.
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.
This document contains information about Md. Arifuzzaman, a lecturer in the Department of Natural Sciences at the Faculty of Science and Information Technology, Daffodil International University. It includes his employee ID, designation, department, faculty, personal webpage, email, and phone number. The document also provides an overview of complex numbers, including their history, the number system, definitions of complex numbers, operations like addition and multiplication of complex numbers, and applications of complex numbers.
Presentation on famous mathematicians in indiaFabeenaKMP
(1) Aryabhata was a famous Indian mathematician from the classical age who lived in the 5th century AD. Some of his key contributions included a place value numeral system, approximations of pi, and trigonometric formulas.
(2) Brahmagupta was a 7th century Indian mathematician who is known for being the first to use zero as a number and introduce basic algebraic rules and formulas.
(3) Bhaskara was a 12th century mathematician whose main work Siddhanta Shiromani covered topics in arithmetic, algebra, astronomy and advanced mathematics. He made contributions in calculus, arithmetic progressions, and solving indeterminate equations.
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 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.
The document provides biographical information about the mathematician Srinivasa Ramanujan. It discusses that he was born in 1887 in India and showed early talent for mathematics without formal training. He independently discovered thousands of theorems. In 1913, he wrote a letter to G.H. Hardy including his work, which impressed Hardy. Ramanujan then went to Cambridge University where he collaborated with Hardy. He received recognition but struggled with health issues and returned to India, where he died in 1920 at a young age. His notebooks contained novel mathematical discoveries that have opened new areas of research.
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 find recognition for his mathematical genius in India but eventually his notebooks were sent to the English mathematician G.H. Hardy, who helped Ramanujan gain admission to Cambridge University. There, Ramanujan continued his groundbreaking mathematical research before falling ill and returning to India, where he passed away in 1920 at the young age of 32. Ramanujan made substantial contributions to mathematical fields and is regarded as one of the
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.
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.
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 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.
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.
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 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 Date Of Birth 22.12.1887Padma Lalitha
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 was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series and continued fractions. Although he had almost no formal training, his natural talent for mathematics was recognized as being on par with legendary mathematicians such as Gauss, Euler, and Newton. During his short life, Ramanujan independently compiled nearly 3900 mathematical results, many of which have been proven correct and inspired further research. He made significant original discoveries such as the Ramanujan prime and theta function. India now celebrates Ramanujan's birthday as National Mathematics Day in recognition of his remarkable contributions.
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.
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 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.
Srinivasa Ramanujan was one of India's greatest mathematicians. He was born in 1887 in Erode, India and showed early signs of genius in mathematics as a child. He excelled at school, mastering advanced trigonometry at age 13. Ramanujan was invited to study further in England, where he was elected to the London Mathematical Society and became a Fellow of the Royal Society. He is best known for his contributions to mock theta functions, Ramanujan primes, and Ramanujan theta functions. Ramanujan's birthday is now recognized as National Mathematics Day in India in honor of his achievements.
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.
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Srinivasa Ramanujan Poster (Mathematician) by Geetika Wadhwa
1. 22 12 18 87
88 17 09 25
10 24 89 16
19 86 23 11
22 12 18 87
88 17 09 25
10 24 89 16
19 86 23 11
22 12 18 87
88 17 09 25
10 24 89 16
19 86 23 11
Srinivasa Ramanujan
1887-1920
The man who knew Infinity
Srinivasa Ramanujan was born on 22nd Dec 1887, in the town of Erode,
Tamil Nadu, India. He was a self-taught pure mathematician. He made
substantial contributions to the analytical theory of numbers and worked
on elliptic functions, continued fractions and infinite series. His father, K.
Srinivasa Iyengar was an accounting clerk for a clothing merchant and his
mother, Komalatammal, earned a small amount of money as a singer at
the local temple. His family were Brahmins and they were very poor.
Every year, National Mathematics
day is celebrated on the birth
anniversary of Srinivasa
Ramanujan. This tradition started
on the 125th birth anniversary of
Ramanujan by our former Prime
Minister Dr. Manmohan Singh on
22nd Dec 2012.
Its main objective is to raise
awareness among people about
the importance of mathematics
for the development of humanity.
He showed early signs of brilliance
during his school. His main source of
inspiration and expertise
became Synopsis of elementary results
in pure mathematics by George S.
Carr. He could afford only a small
amount of paper, so, he did most of
his work on slate with chalk.
Ramanujan sent nine pages of his mathematical work to an eminent pure
mathematician at the University of Cambridge – G. H. Hardy in January 1913. When Hardy went to see Ramanujan when he was
ill at Putney. He rod in taxi cab number 1729 &
remarked that the number seemed rather dull to
him and hoped it was not an unfavourable omen.
To which Ramanujan said, it is a very interesting
number, it is the smallest number expressible as the
sum of 2 cubes in 2 differrent ways.
𝟏𝟕𝟐𝟗 = 𝟏 𝟑
+ 𝟏𝟐 𝟑
= 𝟗 𝟑
+ 𝟏𝟎 𝟑
Also called Taxi cab Number
In July 1909, Ramanujan
married S. Janaki Ammal, who
was then just 10 years old. The
couple began sharing a home in
1912. When he left for
Cambridge, her wife lived with
his family.
In April 1914, he left for Cambridge where two years later, he was awarded the equivalent of a Ph.D.
for his work – a mere formality. The winter weather in England made him ill for a time. In 1917, he
was diagnosed with tuberculosis. In February 1919, his health seemed to have recovered sufficiently
for him to return to India, but sadly he lived for only one more year.
Srinivasa Ramanujan died aged 32 in Madras on April 26, 1920. Sadly, some of Ramanujan’s Brahmin
relatives refused to attend his funeral because he had traveled overseas.
Ramanujan’s
Magic Square
22 12 18 87
88 17 09 25
10 24 89 16
19 86 23 11
The first row is Ramanujan’s Birth Date.
In this square, Sum of numbers of any
column or row or the numbers shaded
in the same colours is 139.
National
Mathematics Day
Using this trick I created my own birth
date magic square
26 08 19 99
100 18 05 29
06 28 101 17
20 98 27 07
In my magic square, everything
adds up to 152.
Introduction
At Early Stage Personal Life
Academic
Last few years of his life
Hardy-Ramanujan Number
Hardy reviewed the papers with J. E. Littlewood, another eminent Cambridge
mathematician, telling Littlewood they had been written by either a crank or a genius,
but he wasn’t quite sure which. After spending two and a half hours poring over the
outlandishly original work, the mathematicians came to a conclusion. They were
looking at the papers of a mathematical genius.
Hardy was eager for Ramanujan to move to
Cambridge, but in accordance with his
Brahmin beliefs, Ramanujan refused to travel
overseas. Instead, an arrangement was made
to fund two years of work at the University of
Madras. During this time, Ramanujan’s
mother had a dream in which the goddess
Namagiri told her she should give her son
permission to go to Cambridge, and this she
did. Her decision led to a chaos in the family.