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Srinivasa Ramanujan Biography In English PDF Free Download, A Note On “Mathematics Genius Srinivasa Ramanujan, Frs”, Srinivasa Ramanujan (1887-1920) PDF.
Srinivasa Ramanujan Was An Indian Mathematician Who Made Important Discoveries On The Characteristics Of The Partition Function. He Was Born In Erode, India, On December 22, 1887, And Passed Away In Kumbakonam On April 26, 1920.
He Acquired A Copy Of George Shoobridge Carr’s Synopsis Of Elementary Results In Pure And Applied Mathematics, 2 Vol. When He Was 15 Years Old (1880–86). His Genius Was Awakened By This Collection Of Thousands Of Theorems, Many Of Which Had The Most Flimsy Justifications And Utilised Nothing Newer Than 1860. After Confirming The Findings In Carr’s Book, Ramanujan Went Beyond Them And Created His Own Theorems And Concepts. He Obtained A Scholarship At The University Of Madras In 1903, But He Lost It The Following Year Because He Ignored All Other Studies In Favour Of His Mathematical Studies.
Ramanujan Kept Working Despite Being Unemployed And Having The Worst Living Conditions. After Being Married In 1909, He Started Looking For A Job That Would Last, And His Search Culminated In An Interview With Ramachandra Rao, A Government Official. Rao, Who Was Impressed By Ramanujan’s Mathematical Prowess, Initially Supported His Research, But Ramanujan Eventually Accepted A Clerical Position With The Madras Port Trust Because He Was Unwilling To Live Off On Charity.
The First Of Ramanujan’s Papers Was Published In The Indian Mathematical Society Journal In 1911. His Talent Was Gradually Acknowledged, And In 1913 He Started Corresponding With The British Mathematician Godfrey H. Hardy. This Correspondence Helped Him Win A Special Scholarship From The University Of Madras And A Grant From Trinity College, Cambridge. In 1914, Ramanujan Overcame His Religious Objections And Travelled To England. There, Hardy Tutored Him And Worked With Him On Some Research.
Ramanujan’s Astounding Mathematical Knowledge, The Most Of Which He Had Developed Himself, Was Impressive. His Mastery Of Continued Fractions Was Unmatched By Any Other Living Mathematician, Despite The Fact That He Was Almost Entirely Unaware Of Modern Developments In The Subject. He Developed The Riemann Series, Elliptic Integrals, Hypergeometric Series, Functional Equations Of The Zeta Function, And His Own Theory Of Divergent Series, In Which He Used An Original Method He Developed That Became Known As Ramanujan Summation To Determine The Value Of The Sum Of Such Series. On The Other Hand, He Had Only The Vaguest Conception Of What A Mathematical Proof Entails And Knew Nothing About Doubly Periodic Functions, The Classical Theory Of Quadratic Forms, Or Cauchy’s Theorem. Many Of His Theories About The Theory Of Prime Numbers Were Incorrect, Despite His Brilliance.
One Of India’s Greatest Mathematicians Was Srinivasa Ramanujan. He Worked On Elliptic Functions, Continued Fractions, And Infinite Series In Addition To Making Significant Contributions To The Analytical Theory Of Numbers.
Ramanujan Was Born In Erode, A Small Village Some 400 Kilometres Southwest Of Madras, At His Grandmother’s Home (Now Chennai). At The Age Of One, Ramanujan’s Mother Took Him To Kumbakonam, A Town 160 Kilometres Away From Madras. His Father Was A Clerk In A Cloth Merchant’s Shop In Kumbakonam. He Contracted Smallpox In December 1889.
Although He Would Attend A Number Of Different Primary Schools Before Enrolling In The Kumbakonam Town High School In January 1898, Ramanujan Began Attending The Kumbakonam Primary School When He Was About Five Years Old. Ramanujan Was Expected To Do Well In All Of His Academic Courses At The Town High School And Shown His Ability As An All-around Scholar. He Started Working Independently On Mathematics Summarising Geometric And Arithmetic Series Around 1900.
After Being Taught How To Solve Cubic Equations In 1902, Ramanujan Went On To Develop His Own Technique For Solving The Quadratic. The Next Year, Unaware That Radicals Couldn’t Solve The Quintic, He Attempted (And Of Course Failed To) Do So.
A Mathematics Book By G. S. Carr Titled Synopsis Of Elementary Results In Pure Mathematics Was Discovered By Ramanujan When He Was A Student At The Town High School. Ramanujan Was Able To Teach Himself Mathematics Because To This Book’s Very Concise Style, But Since It Served As The Only Example Of Written Mathematical Arguments He Had,
The Book’s Style Had An Unfortunate Impact On How Ramanujan Would Later Write Down Mathematics. The Book Included Short Proofs, Formulas, And Theorems. It Also Included An Index Of Papers On Pure Mathematics That Had Appeared In The First Half Of The 19th Century In The European Journals Of Learned Societies. Naturally, The 1886-published Book Was Outdated By The Time Ramanujan Used It.
Ramanujan Had Started Doing Extensive Research By 1904. He Looked At The Series Sum (Big Frac 1 Normal Size) (N 1) And Calculated The Euler Constant To 15 Decimal Places. Despite The Fact That This Was Entirely His Own Independent Discovery, He Started Studying Bernoulli Numbers.
Ramanujan Received A Scholarship To The Government College In Kumbakonam, Which He Enrolled In In 1904, As A Result Of His Strong Academic Performance. Ramanujan’s Scholarship Was Not Renewed The Next Year Due To His Increasing Attention On Mathematics At The Expense Of His Other Subjects. Without Money, He Quickly Ran Into Problems. Unaware Of His Parents, He Fled To The Town Of Vizagapatnam, Which Is 650 Kilometres North Of Madras. He Nonetheless Persisted In His Mathematical Work At This Point, Working On Hypergeometric Series And Looking Into The Connections Between Integrals And Series. Later, He Would Learn That He Had Been Researching Elliptic Functions.
Ramanujan Travelled To Madras In 1906 And Enrolled At Pachaiyappa’s College There. His Goal Was To Succeed On The First Arts Exam So He Might Get Accepted To The University Of Madras. He Attended Lectures At Pachaiyappa’s College, But Three Months Into His Studies, He Became Ill. He Left The Course And Took The First Arts Examination. He Passed The Mathematics Portion Of The Exam But Failed All Of His Other Subjects And The Exam As A Whole. As A Result, He Was Unable To Enrol In The University Of Madras. He Worked On Mathematics In The Next Years, Coming Up With His Own Ideas Without Assistance And With Just A Vague Understanding Of The Then-current Research Topics As Described In Carr’s Book.
Ramanujan Continued His Mathematical Research In 1908, Studying Continued Fractions And Divergent Series. At This Point, He Once Again Became Quite Ill, Had Surgery In April 1909, And Took A Significant Amount Of Time To Recover. On July 14, 1909, His Mother Arranged For Him To Wed Janaki Ammal, A Ten-year-old Girl. However, Ramanujan Did Not Move In With His Wife Until She Was Twelve.
In The Journal Of The Indian Mathematical Society, Ramanujan Started Posing And Answering Mathematical Problems As He Continued To Develop His Mathematical Theories. In 1910, He Developed Relationships Among Elliptic Modular Equations. He Received Recognition For His Work After Publishing A Brilliant Research Paper On Bernoulli Numbers In The Indian Mathematical Society Journal In 1911. He Was Developing A Reputation As A Mathematical Genius In The Madras Area Despite Not Having A University Education.
He Was Born On December 22, 1887, At His Maternal Grandparents’ Home In Erode, Madras Presidency (Now Tamil Nadu, India), Into A Tamil Brahmin Iyengar Family. His Mother Komalatammal Was A Housewife Who Sang At A Nearby Temple, While His Father K. Srinivasa Iyengar Worked As An Accounting Clerk For A Clothing Retailer.
The Family Was Very Low Caste And Poor. Due To His Parents’ Many Moves, Srinivasa Ramanujan Attended A Number Of Different Elementary Schools.
He Passed His Primary Exams In English, Tamil, Geography, And Mathematics In November 1897 And Received The Highest Scores In The District. He First Encountered Formal Mathematics When He Enrolled At Town Higher Secondary School That Same Year.
At The Age Of 11, He Had Taken Advantage Of Two College Students Who Were House Guests To Learn Mathematics. Later, He Lent A Book On Advanced Trigonometry Written By S. L. Loney. He Had Mastered It And Independently Discovered His Theorems By The Age Of Thirteen.
He Began Receiving Academic Awards And Merit Certificates At The Age Of 14, And He Kept Receiving Them Throughout His Time In School. Additionally, He Demonstrated His Familiarity With Geometry And Infinite Series When Finishing A Math Exam In Less Than Half The Time Allotted.
On December 22, 1887, Ramanujan Was Born In The Southern Indian City Of Erode. His Mother Komalatammal Was The Daughter Of A City Official, While His Father K. Srinivasa Aiyangar Worked As An Accountant. Even Though Ramanujan’s Family Belonged To India’s Highest Social Class—the Brahmin Caste—they Lived In Poverty.
Ramanujan Started Going To School When He Was Five Years Old. He Transferred To Kumbakonam’s Town High School In 1898. Ramanujan Impressed His Teachers And Other Students With His Extraordinary Math Proficiency Even When He Was A Young Child.
However, Ramanujan Is Said To Have Been Obsessed With Mathematics After Reading G.s. Carr’s Book “A Synopsis Of Elementary Results In Pure Mathematics.” Ramanujan Taught Himself Mathematics Using Carr’s Book, Whose Topics Included Integral Calculus And Power Series Calculations,
As He Had No Access To Other Books At The Time. Ramanujan’s Writings Had Too Little Details For Many Readers To Understand How He Arrived At His Results, Hence This Condensed Book Would Have An Unfortunate Influence On How He Later Wrote Down His Mathematical Results.
Ramanujan’s Formal Education Effectively Came To A Standstill Because Of His Intense Interest In Studying Mathematics. Ramanujan Matriculated At The Kumbakonam Government College At The Age Of 16 On A Scholarship, But The Following Year He Lost It Because He Had Neglected His Other Studies.
Having Passed Math But Failing His Other Subjects, He Later Failed The First Arts Examination In 1906, Which Would Have Allowed Him To Matriculate At The University Of Madras.
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