SlideShare une entreprise Scribd logo
1  sur  9
S Ramanujan
Ramanujan House Kumbakonam
S Ramanujan
Srinivasa Ramanujan Aiyangar,
December 22, 1887: born in Erode, India
April 26, 1920: died in Kumbakonam
In 1900 he began to work on his own on mathematics
Summing geometric and arithmetic series.
A great Indian mathematician who made substantial
contributions to mathematical analysis, number theory, infinite
series, and continued fractions, including solutions to
mathematical problems then considered unsolvable even
though he had almost no formal training in pure mathematics.
Early age brilliance
• By the age of11years, he had exhausted the mathematical
knowledgeof two college studentswho were lodgers at his home.
He was later lent a book written by S. L. Loney on advanced
trigonometry.He mastered this by the age of 13 while discovering
sophisticated theorems on his own.
• By 14, he received merit certificates and academic awards that
continued throughout his school career, and he assisted the school
in the logistics of assigning its 1,200 students(each with differing
needs) to its approximately 35 teachers.He completed
mathematical exams in half the allottedtime, and showed a
familiarity with geometry and infinite series.
• Ramanujan was shown how to solve cubic equationsin 1902. He
wouldlater develop his own method to solve the quartic.
• In 1903, he tried to solvethe quintic, not knowing that it
was impossible to solve with radicals.
• In 1903 (December) and 1905: Fails the university exam
• 1904: he begun to undertake deep research, he investigated
series 1/n as n is from 1 to infinity.
• 1911: first mathematical paper.
• Journal of Indian Mathematical Society (1912) - published
problems solved by Ramanujan
Letter of Ramanujan to Hardy
(January 16, 1913)
I have had no university education but I have undergone the
ordinary school course. After leaving school I have been
employing the spare time at my disposal to work at
mathematics. I have not trodden through the conventional
regular course which is followed in a university course, but I
am striking out a new path for myself. I have made a special
investigation of divergent series in general and the results I
get are termed by the local mathematicians as “startling”. He
attached his workings with this letter.
Godfrey Harold Hardy (1877 –
1947)
Answer from Hardy
(February 8, 1913)
I was exceedingly interested by your letter and by the
theorems which you state. You will however understand
that, before I can judge properly of the value of what you
have done, it is essential that I should see proofs of
some of your assertions. Your results seem to me to fall
into roughly three classes:
(1) there are a number of results that are already known,
or easily deducible from known theorems;
(2) there are results which, so far as I know, are new and
interesting, but interesting rather from their curiosity and
apparent difficulty than their importance;
(3) there are results which appear to be new and
Thank You

Contenu connexe

Similaire à S ramanujan_Shrey.pptx

Talk on Ramanujan
Talk on RamanujanTalk on Ramanujan
Talk on Ramanujan
S Sridhar
 
Life of ramanujan
Life of ramanujanLife of ramanujan
Life of ramanujan
caddis2
 
Srinivasa Ramanujan: A Mathematical Genius
Srinivasa Ramanujan: A Mathematical GeniusSrinivasa Ramanujan: A Mathematical Genius
Srinivasa Ramanujan: A Mathematical Genius
Ednexa
 
Srinivasaramanujan ppt-120827092840-phpapp01
Srinivasaramanujan ppt-120827092840-phpapp01Srinivasaramanujan ppt-120827092840-phpapp01
Srinivasaramanujan ppt-120827092840-phpapp01
Alicia Llaulle
 

Similaire à S ramanujan_Shrey.pptx (20)

Mathematician
MathematicianMathematician
Mathematician
 
Talk on Ramanujan
Talk on RamanujanTalk on Ramanujan
Talk on Ramanujan
 
Life of ramanujan
Life of ramanujanLife of ramanujan
Life of ramanujan
 
Indian mathematician.
Indian mathematician.Indian mathematician.
Indian mathematician.
 
Ramanujan.ppt
Ramanujan.pptRamanujan.ppt
Ramanujan.ppt
 
Works of ramanujan
Works of ramanujanWorks of ramanujan
Works of ramanujan
 
RAMANUJAN PPT.pptx
RAMANUJAN PPT.pptxRAMANUJAN PPT.pptx
RAMANUJAN PPT.pptx
 
Srinivasa Ramanujan: A Mathematical Genius
Srinivasa Ramanujan: A Mathematical GeniusSrinivasa Ramanujan: A Mathematical Genius
Srinivasa Ramanujan: A Mathematical Genius
 
Maths seminar i (1)
Maths seminar   i (1)Maths seminar   i (1)
Maths seminar i (1)
 
Srinivasa Ramanujan
Srinivasa RamanujanSrinivasa Ramanujan
Srinivasa Ramanujan
 
Sreenivasa ramanujan1
Sreenivasa ramanujan1Sreenivasa ramanujan1
Sreenivasa ramanujan1
 
Srinivas Ramanujan
Srinivas RamanujanSrinivas Ramanujan
Srinivas Ramanujan
 
Srinivasaramanujan ppt-120827092840-phpapp01
Srinivasaramanujan ppt-120827092840-phpapp01Srinivasaramanujan ppt-120827092840-phpapp01
Srinivasaramanujan ppt-120827092840-phpapp01
 
Ramanujan: The Man Who Knew Infinity
Ramanujan: The Man Who Knew InfinityRamanujan: The Man Who Knew Infinity
Ramanujan: The Man Who Knew Infinity
 
Top 10 indian mathematicians ppt
Top 10 indian mathematicians pptTop 10 indian mathematicians ppt
Top 10 indian mathematicians ppt
 
Contribution of S. Ramanujan .pptx
Contribution of S. Ramanujan .pptxContribution of S. Ramanujan .pptx
Contribution of S. Ramanujan .pptx
 
Ramanujam
RamanujamRamanujam
Ramanujam
 
Ramanujan
RamanujanRamanujan
Ramanujan
 
Maths day or Srinivasa Ramanujan PPT
Maths day or Srinivasa Ramanujan PPTMaths day or Srinivasa Ramanujan PPT
Maths day or Srinivasa Ramanujan PPT
 
premchandan.pptx
premchandan.pptxpremchandan.pptx
premchandan.pptx
 

Dernier

Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
ciinovamais
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
heathfieldcps1
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
PECB
 

Dernier (20)

Activity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdfActivity 01 - Artificial Culture (1).pdf
Activity 01 - Artificial Culture (1).pdf
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
ICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptxICT Role in 21st Century Education & its Challenges.pptx
ICT Role in 21st Century Education & its Challenges.pptx
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Z Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot GraphZ Score,T Score, Percential Rank and Box Plot Graph
Z Score,T Score, Percential Rank and Box Plot Graph
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural ResourcesEnergy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
Energy Resources. ( B. Pharmacy, 1st Year, Sem-II) Natural Resources
 
Key note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdfKey note speaker Neum_Admir Softic_ENG.pdf
Key note speaker Neum_Admir Softic_ENG.pdf
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
Explore beautiful and ugly buildings. Mathematics helps us create beautiful d...
 
How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17How to Give a Domain for a Field in Odoo 17
How to Give a Domain for a Field in Odoo 17
 
Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024Mehran University Newsletter Vol-X, Issue-I, 2024
Mehran University Newsletter Vol-X, Issue-I, 2024
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
Ecological Succession. ( ECOSYSTEM, B. Pharmacy, 1st Year, Sem-II, Environmen...
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptxBasic Civil Engineering first year Notes- Chapter 4 Building.pptx
Basic Civil Engineering first year Notes- Chapter 4 Building.pptx
 
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17  How to Extend Models Using Mixin ClassesMixin Classes in Odoo 17  How to Extend Models Using Mixin Classes
Mixin Classes in Odoo 17 How to Extend Models Using Mixin Classes
 
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptxINDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
INDIA QUIZ 2024 RLAC DELHI UNIVERSITY.pptx
 
Role Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptxRole Of Transgenic Animal In Target Validation-1.pptx
Role Of Transgenic Animal In Target Validation-1.pptx
 
ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.ICT role in 21st century education and it's challenges.
ICT role in 21st century education and it's challenges.
 

S ramanujan_Shrey.pptx

  • 3. S Ramanujan Srinivasa Ramanujan Aiyangar, December 22, 1887: born in Erode, India April 26, 1920: died in Kumbakonam In 1900 he began to work on his own on mathematics Summing geometric and arithmetic series. A great Indian mathematician who made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, including solutions to mathematical problems then considered unsolvable even though he had almost no formal training in pure mathematics.
  • 4. Early age brilliance • By the age of11years, he had exhausted the mathematical knowledgeof two college studentswho were lodgers at his home. He was later lent a book written by S. L. Loney on advanced trigonometry.He mastered this by the age of 13 while discovering sophisticated theorems on his own. • By 14, he received merit certificates and academic awards that continued throughout his school career, and he assisted the school in the logistics of assigning its 1,200 students(each with differing needs) to its approximately 35 teachers.He completed mathematical exams in half the allottedtime, and showed a familiarity with geometry and infinite series. • Ramanujan was shown how to solve cubic equationsin 1902. He wouldlater develop his own method to solve the quartic. • In 1903, he tried to solvethe quintic, not knowing that it was impossible to solve with radicals.
  • 5. • In 1903 (December) and 1905: Fails the university exam • 1904: he begun to undertake deep research, he investigated series 1/n as n is from 1 to infinity. • 1911: first mathematical paper. • Journal of Indian Mathematical Society (1912) - published problems solved by Ramanujan
  • 6. Letter of Ramanujan to Hardy (January 16, 1913) I have had no university education but I have undergone the ordinary school course. After leaving school I have been employing the spare time at my disposal to work at mathematics. I have not trodden through the conventional regular course which is followed in a university course, but I am striking out a new path for myself. I have made a special investigation of divergent series in general and the results I get are termed by the local mathematicians as “startling”. He attached his workings with this letter.
  • 7. Godfrey Harold Hardy (1877 – 1947)
  • 8. Answer from Hardy (February 8, 1913) I was exceedingly interested by your letter and by the theorems which you state. You will however understand that, before I can judge properly of the value of what you have done, it is essential that I should see proofs of some of your assertions. Your results seem to me to fall into roughly three classes: (1) there are a number of results that are already known, or easily deducible from known theorems; (2) there are results which, so far as I know, are new and interesting, but interesting rather from their curiosity and apparent difficulty than their importance; (3) there are results which appear to be new and