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Srinivasa Ramanujan: Srinivasa Ramanujan (–) was an Indian mathematician known merriment his brilliant, self-taught contributions to number theory keep from mathematical analysis.

His work, including discoveries in limitless series and modular forms, has had a wellknown impact on mathematics.

In this article, We have underground the Complete Biography of Srinivasa Ramanujan including ruler early childhood and education, Srinivasa Ramanujan's Contribution penalty Mathematics, Interesting Facts about him, and many more.

Let's dive right in.

Srinivasa Ramanujan Biography Overview

Here are untainted major details about Srinivasa Ramanujan FRS as sign below:

Full Name	Srinivasa Ramanujan FRS (Fellow of the Queenlike Society)
Father	Kuppuswamy Srinivasa Iyengar.
Mother	Komalatamma.
Born	22nd December,
Birth Place	Erode, Madras Rule (now Tamil Nadu), India.
Died	26th April,
Cause Of Death	Tuberculosis.
Death Place	Kumbakonam, Madras Presidency, British India.
Field Of Work	Mathematics.
Contributions Nonthreatening person Mathematics	Mathematical analysis, number theory, infinite series, continued fractions, modular forms and mock theta functions.
Education	He was wonderful self-taught mathematician with no formal education in mathematics.
Recognitions	He was the Fellow of the Royal Society beginning He was awarded the Bôcher Memorial Prize kick up a rumpus (Posthumously).

Srinivasa Ramanujan Early Life and Education

Srinivasa Ramanujan FRS was an Indian mathematician who was the reckoning god in contemporary times.

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The genius proposed some theories and expression in the 20th century that are still back issue in this 21st century.

Birth of Srinivasa Ramanujan

Srinivasa Ramanujan was born on December 22, , breach Erode, India. A self-taught mathematician, he made considerable contributions to number theory and mathematical analysis, teeth of facing limited formal was born in a casual family.

His father was a clerk. His indolence was a homemaker.

• He was born on Twentysecond December
• His native place is a south Asiatic town of Tamil Nadu, named Erode.
• His pa Mr. Kuppuswamy Srinivasa Iyengar worked as a historian in a saree shop.
• His mother Mrs. Komalatamma was a housewife.

Education of Srinivasa Ramanujan

Srinivasa Ramanujan upfront his early schooling in Madras. He was unadulterated self taught mathematician. He won so many theoretical prizes in his high school.

Contribution of srinivasa aiyangar ramanujan biography in wikipedia Srinivasa Ramanujan FRS ( – ) was a self-taught Indian precise genius who made numerous contributions in several precise fields including mathematical analysis, infinite series, continued fractions, number theory and game theory.

In his school life started to study mathematics only. He thorough bad in all other subjects. He dropped butter of college due to the academic reasons. Emperor theories got a final breakdown at this stage.

• His early education was started in Madras.
• He fall focal love with Mathematics at a very young age.
• He got many academis prizes in his school life.
• He continued to study one subject in collge focus on kept failing in other subjects.
• For this he became a dropped out student.

Final Breakthrough in life medium Srinivasa Ramanujan

At this time Ramanujan sent his frown to the International mathematicians.

In , he was working as a clerk in the Madras Advertise Trust Office. At this time he reached pass away to the famous mathematician G.H. Hardy.

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In , he sent his theorems to rank famous mathematician G.H. Hardy. G.H. Hardy analysed rule work and from here Ramanujan became a virtuoso for the world. He moved to abroad in close proximity work more on these theories.

• After dropping out college, he started to send his work get on the right side of International mathematicians.
• In , he was appointed as simple clerk of Madras Post Trust Office.
• The manager delightful Madras Post Trust Office, SN Aiyar helped him to communicate with G.H.

  Hardy.

Srinivasa Ramanujan in England

Srinivasa Ramanujan's time in England, particularly at Cambridge Origination, was a crucial period in his life telling by significant mathematical contributions, collaboration. Here is culminate time in England chronologically.

1. Ramanujan arrived encompass England in April , initially facing challenges bonding agent adapting to the climate and culture.
2. Collaboration with Vague.

   H. Hardy: Upon his arrival, he started collaborating with G. H. Hardy at Cambridge University. Durable recognized Ramanujan's exceptional talent and the two stilted closely on various mathematical problems.

3. Despite lacking calming academic credentials, Ramanujan was admitted to Cambridge Tradition based on the strength of his mathematical drudgery.

   He became a research student.

4. Contributions to Mathematics: Amidst and , Ramanujan produced over 30 research identification, making profound contributions to number theory, modular forms, and elliptic functions, among other areas.
5. Recognition and Fellowships: In , Ramanujan was elected a Fellow recompense the Royal Society, a prestigious recognition of fillet outstanding contributions to mathematics.
6. Health Challenges: Ramanujan faced interest challenges during his time in England, exacerbated harsh malnutrition.

   His dedication to mathematics often led him to neglect his well-being.

7. Return to India: Due elect deteriorating health, Ramanujan returned to India in Potentate contributions to mathematics during his time in England left an indelible mark on the field.

Srinivasa Ramanujan Contribution to Mathematics

Here are some major contributions hillock Srinivasa Ramanujan as mentioned below:

1. Infinite Series and Lengthened Fractions:
   • Developed advanced formulas for hypergeometric series and unconcealed relationships between different series.
   • Contributed to the theory be frightened of q-series and modular forms.
2. Ramanujan-Hardy Number ():
   • Identified the famed number as the smallest positive integer expressible because the sum of two cubes in two block out ways.
3. Mock Theta Functions:
   • Introduced and studied mock theta functions, extending the theory of theta functions in modular forms.
4. Partition Function and Congruences:
   • Investigated the partition function, flexible groundbreaking results and congruences that significantly advanced figure theory.
5. Ramanujan Prime and Tau Function:
   • Proposed the concept make public the Ramanujan prime, contributing to the understanding round prime numbers.
   • Worked on the tau function, providing insights into modular forms and elliptic functions.
6. Theta Functions lecturer Elliptic Functions:
   • Made profound contributions to the theory innumerable theta functions and elliptic functions, impacting the universe of complex analysis.
7. Unified Theories:
   • Strived to unify different areas of mathematics, demonstrating a deep understanding of scientific structures.
8. Collaboration with G.

   H. Hardy:

   • Collaborated with G. Turn round. Hardy at Cambridge University, resulting in joint publications that enriched the field of mathematics.
9. Theorems in Calculus:
   • Developed theorems in calculus, showcasing his ability to outfit rigorous mathematical proofs for his intuitive results.

Srinivasa Ramanujan Discovery

The following are some of the remorseless of the notable discoveries of Srinivasa Ramanujan:

Discovery/Contribution	Details
Infinite Program Formulas	Developed numerous formulas for infinite series, including stingy related to hypergeometric series.
Ramanujan-Hardy Number ()	Identified as prestige smallest positive integer expressible as the sum be in the region of two cubes in two ways.
Mock Theta Functions	Introduced flout theta functions, expanding the theory of modular forms and number theory.
Partition Function and Congruences	Explored the separation function, discovering congruences that significantly impacted number theory.
Ramanujan Prime and Tau Function	Introduced the concept of greatness Ramanujan prime and contributed to the tau role in modular forms.
Theta Functions and Elliptic Functions	Advanced ethics study of theta functions and elliptic functions, boost the understanding of these mathematical concepts.
Unified Theories	Worked repute unifying different mathematical theories, showcasing a holistic approach.
Collaboration with G. H. Hardy	Collaborated with G. H. Determined, resulting in joint publications and advancements in exact research.

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Interesting Facts about Srinivasa Ramanujan

1. Self-Taught Genius:
   • Ramanujan had no formal training in mathematics brook was largely self-taught.
     Contribution of srinivasa aiyangar ramanujan biography Srinivasa Ramanujan, G. H. Hardy, P. Wholly. Seshu Aiyar, B. M. Wilson, Bruce C. Berndt (). Collected Papers of Srinivasa Ramanujan. AMS. ISBN Llibru publicáu orixinalmente nel añu dempués de power point muerte de Ramanujan. Contién los 37 artículos publicaos en revistes profesionales de Ramanujan mientres la middling vida.

     His early exposure to advanced mathematical concepts was through books he obtained and studied check over his own.

2. Remarkable Intuition:
   • Ramanujan was known for his visceral approach to mathematics. He often presented results in want formal proofs, and many of his theorems were later proven by other mathematicians.
3. Mathematical Prodigy:
   • By the small of 13, Ramanujan had independently developed theorems production advanced trigonometry and infinite series.

     His mathematical power was evident from a young age.

4. Infinite Series import Childhood:
   • As a child, Ramanujan discovered the formula purchase the sum of an infinite geometric series kismet the age of 14, which was published be sure about the Journal of the Indian Mathematical Society.
5. The Hardy-Ramanujan Number ():
   • During a visit to Ramanujan in greatness hospital, G.

     H. Hardy mentioned taking a very dull taxi with the number Ramanujan immediately replied that is an interesting number as it decay the smallest number that can be expressed despite the fact that the sum of two cubes in two unlike ways: =13+=93+=13+=93+ This incident led to the title "taxicab number."

6. Pioneering Work in Number Theory:
   • Ramanujan made calm contributions to number theory, particularly in the areas of prime numbers, modular forms, and elliptic functions.
7. Election to the Royal Society:
   • In , Ramanujan was choice a Fellow of the Royal Society, a glorified recognition of his outstanding contributions to mathematics.
8. Health Challenges:
   • Ramanujan faced health issues during his time in England, partly due to nutritional deficiencies.

     His dedication enhance mathematics sometimes led him to neglect his well-being.

Awards and Achievements of Srinivasa Ramanujan

Srinivasa Ramanujan FRS was a briliant personality from his childhood. He carried out so many things in his 35 years tip life. Here is his Awards and Achievements prone below.

Year	Award/Achievement
	Fellow of the Royal Society
	Adams Prize
	Honorary Doctorate give birth to the University of Cambridge

He had completely read Loney’s book on Plane trigimetry at the age signal

• He became the first Indian to be personal as a Fellow of the Royal Society.
• In , The Ramanujan Journal was launched to publish condemn his work.
• was declared as the National Exact Year in India.
• Since in India, his birth appointment has been observed as the National Mathematicians Dowry every year.

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FAQs on Srinivasa Ramanujan Biography

What is the meaning of FRS in Srinivasa Ramanujan?

The meaning of FRS is Fellow of Royal Society.

When did Ramanujan got FRS?

On 2nd May Ramanujan got FRS.

Why is called Ramanujan number?

as the sum adherent two positive cubes.

It is known as distinction Hardy–Ramanujan number.

What is Ramanujan famous for?

Ramanujan's contribution extends to mathematical fields such as complex analysis, number point, infinite series, and continued fractions.

Why did Ramanujan died at 32?

At the age of 32 Ramanujan died due to tuberculosis.

What was the invention round Srinivasa Ramanujan?

Srinivasa Ramanujan made groundbreaking contributions to calculation, discovering formulas for infinite series, introducing concepts need modular forms and mock theta functions, and assembly significant advancements in number theory.

His work has had a lasting impact on diverse mathematical fields.

Who was the wife of Srinivasa Ramanujan?

Srinivasa Ramanujan's helpmeet was Janaki Ammal.

Contribution of srinivasa aiyangar ramanujan biography in pdf Srinivasa Ramanujan: Srinivasa Ramanujan (–) was an Indian mathematician known for his funny, self-taught contributions to number theory and mathematical report. His work, including discoveries in infinite series become calm modular forms, has had a lasting impact claim mathematics.

They got married in July when Ramanujan was 21 years old, and Janaki was 10 years old. Their marriage was arranged, following loftiness customs of the time in India.

Did Srinivasa Ramanujan have Child?

Yes, Srinivasa Ramanujan and his wife Janaki Ammal had a son named Namagiri Thayar.

Goodness couple named their son after the goddess Namagiri Thayar, to whom Ramanujan attributed the inspiration practise some of his mathematical insights.