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.
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...
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...
Great indian mathmatician -srinivasan ramanujanMahip Singh
Srinivasa Ramanujan Iyengar FRS (pronunciation: Listeni/sriːnivɑːsə rɑːmɑːnʊdʒən/) (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact. Though he had almost no formal training in pure mathematics, he made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Ramanujan initially developed his own mathematical research in isolation; it was quickly recognized by Indian mathematicians. When his skills became apparent to the wider mathematical community, centred in Europe at the time, he began a famous partnership with the English mathematician G. H. Hardy. He rediscovered previously known theorems in addition to producing new theorems.
During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations).[1] Nearly all his claims have now been proven correct, although some were already known.[2] He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research.[3] The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work.[4]
SREENIVASA RAMANUJAN (1887-1920).I am created this ppt.These ppt on my openoin all people are knowing the RAMANUJAN life achievements & history....Creativity is my hobby.....
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.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Great indian mathmatician -srinivasan ramanujanMahip Singh
Srinivasa Ramanujan Iyengar FRS (pronunciation: Listeni/sriːnivɑːsə rɑːmɑːnʊdʒən/) (22 December 1887 – 26 April 1920) was an Indian mathematician and autodidact. Though he had almost no formal training in pure mathematics, he made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Ramanujan initially developed his own mathematical research in isolation; it was quickly recognized by Indian mathematicians. When his skills became apparent to the wider mathematical community, centred in Europe at the time, he began a famous partnership with the English mathematician G. H. Hardy. He rediscovered previously known theorems in addition to producing new theorems.
During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations).[1] Nearly all his claims have now been proven correct, although some were already known.[2] He stated results that were both original and highly unconventional, such as the Ramanujan prime and the Ramanujan theta function, and these have inspired a vast amount of further research.[3] The Ramanujan Journal, an international publication, was launched to publish work in all areas of mathematics influenced by his work.[4]
SREENIVASA RAMANUJAN (1887-1920).I am created this ppt.These ppt on my openoin all people are knowing the RAMANUJAN life achievements & history....Creativity is my hobby.....
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.
Palestine last event orientationfvgnh .pptxRaedMohamed3
An EFL lesson about the current events in Palestine. It is intended to be for intermediate students who wish to increase their listening skills through a short lesson in power point.
Embracing GenAI - A Strategic ImperativePeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
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A Strategic Approach: GenAI in EducationPeter Windle
Artificial Intelligence (AI) technologies such as Generative AI, Image Generators and Large Language Models have had a dramatic impact on teaching, learning and assessment over the past 18 months. The most immediate threat AI posed was to Academic Integrity with Higher Education Institutes (HEIs) focusing their efforts on combating the use of GenAI in assessment. Guidelines were developed for staff and students, policies put in place too. Innovative educators have forged paths in the use of Generative AI for teaching, learning and assessments leading to pockets of transformation springing up across HEIs, often with little or no top-down guidance, support or direction.
This Gasta posits a strategic approach to integrating AI into HEIs to prepare staff, students and the curriculum for an evolving world and workplace. We will highlight the advantages of working with these technologies beyond the realm of teaching, learning and assessment by considering prompt engineering skills, industry impact, curriculum changes, and the need for staff upskilling. In contrast, not engaging strategically with Generative AI poses risks, including falling behind peers, missed opportunities and failing to ensure our graduates remain employable. The rapid evolution of AI technologies necessitates a proactive and strategic approach if we are to remain relevant.
The Roman Empire A Historical Colossus.pdfkaushalkr1407
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Under Augustus, the empire experienced the Pax Romana, a 200-year period of relative peace and stability. Augustus reformed the military, established efficient administrative systems, and initiated grand construction projects. The empire's borders expanded, encompassing territories from Britain to Egypt and from Spain to the Euphrates. Roman legions, renowned for their discipline and engineering prowess, secured and maintained these vast territories, building roads, fortifications, and cities that facilitated control and integration.
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Culturally, the Romans were eclectic, absorbing and adapting elements from the civilizations they encountered, particularly the Greeks. Roman art, literature, and philosophy reflected this synthesis, creating a rich cultural tapestry. Latin, the Roman language, became the lingua franca of the Western world, influencing numerous modern languages.
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Honest Reviews of Tim Han LMA Course Program.pptxtimhan337
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4. 4
Srinivasa Ramanujan was one of the most
famous mathematical wizards who made
important contributions to the field of
advanced mathematics.
Srinivasa Ramanujan was born on 22
December 1887, to a poor Brahmin family
in Erode, a small village in Tamil Nadu,
India.
Where It All Started
5. His Crazy Love for Maths
5
He loved mathematics more than any other
subject and even more than people (except
for his wife).
In his middle school classes, he
mathematically calculated the approximate
length of the equator. He also very clearly
knew the values of the square root of two
and the value of pi!
6. 6
At the age of 16, he got a scholarship for his first
year at the Government College in his hometown.
He later found a job as an accounts clerk in the
office of Madras Port Trust.
Then, he got in touch with V. Ramaswamy Aiyer,
the founder of the Indian Mathematical Society.
With his help, Ramanujan got his paper on
Bernoulli numbers published in the ‘Journal of the
Indian Mathematical Society’ in 1911.
Education and WoRk
7. The Major Turning Point
7
In 1913, he casually wrote to the well-known
Cambridge mathematician, G. H. Hardy, and told
him about his work. Hardy was mighty impressed
with Ramanujan’s works and assisted him in
getting a grant from Trinity College, Cambridge.
Ramanujan moved abroad and started to work in
collaboration with Hardy. In 1916, he graduated
from Cambridge with a Bachelor of Science in
Research.
8. The End Of A Genius’s Life
In 1920, he came
back to India and
died at the age of
32.
While working with
Hardy, Ramanujan
suffered from
Tuberculosis. Even
then he remained
engrossed in his
research and study
8
10. 10
Despite having almost no formal training in
Mathematics, Ramanujan’s knowledge of the
subject matter was astounding. Without the
knowledge of the modern developments in
the subject, he had made some important
contributions to the field of mathematical
analysis, number theory, game theory, infinite
series, and continued fractions.
15. 15
1729
Mr. Hardy quipped that he came in a taxi
with the number '1729' which seemed a
fairly ordinary number. Ramanujan said
that it was not. 1729, the Hardy-
Ramanujan Number, is the smallest
number that can be expressed as the sum
of two different cubes in two different
ways.
