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Ramanujan Aiyangar, Srinivasa, - 1887-1920

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Ramanujan, Aiyangar Srinivasa, 1887-1920. --- Hardy, G. H. (Godfrey Harold), 1877-1947. --- Mathematicians - India - Biography. --- Mathematicians - England - Biography.

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In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge to examine the papers of the late G.N. Watson.  Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated, "Ramanujan's lost notebook." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the third of five volumes that the authors plan to write on Ramanujan’s lost notebook and other manuscripts and fragments found in The Lost Notebook and Other Unpublished Papers, published by Narosa in 1988.  The ordinary partition function p(n) is the focus of this third volume. In particular, ranks, cranks, and congruences for p(n) are in the spotlight. Other topics include the Ramanujan tau-function, the Rogers–Ramanujan functions, highly composite numbers, and sums of powers of theta functions. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited." - MathSciNet Review from the first volume: "Andrews a nd Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." - Gazette of the Australian Mathematical Society.

Functions, Theta. --- Mathematicians -- India -- Biography. --- Ramanujan Aiyangar, Srinivasa, 1887-1920. --- Mathematics --- Physical Sciences & Mathematics --- Algebra --- Mathematics - General --- Mathematicians --- Ramanujan Aiyangar, Srinivasa, --- Ṣrīnivāsa-Rāmānuja Aiyaṅgār, --- Ramanujan, Srinivasa, --- Aiyangar, Srinivasa Ramanujan, --- Iyengar, Srinivasa Iyengar Ramanuja, --- Ramanuja Iyengar, Srinivasa Iyengar, --- Ramanudzhan Aĭengar, --- Ramanujan, S. --- Ramanujam, S. --- Mathematics. --- Number theory. --- Number Theory. --- Number study --- Numbers, Theory of

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Srinivasa Ramanujan was a mathematician brilliant beyond compare. There is extensive literature available on the work of Ramanujan, but what is more difficult to find in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by G. H. Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work is still having an impact on many different fields of mathematical research. The book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors, focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.  .

Mathematicians -- India -- Biography. --- Ramanujan Aiyangar, Srinivasa, 1887-1920. --- Mathematicians --- Mathematics --- Number theory --- Physical Sciences & Mathematics --- Algebra --- Mathematics - General --- History --- Ramanujan Aiyangar, Srinivasa, --- Ṣrīnivāsa-Rāmānuja Aiyaṅgār, --- Ramanujan, Srinivasa, --- Aiyangar, Srinivasa Ramanujan, --- Iyengar, Srinivasa Iyengar Ramanuja, --- Ramanuja Iyengar, Srinivasa Iyengar, --- Ramanudzhan Aĭengar, --- Ramanujan, S. --- Ramanujam, S. --- Mathematics. --- Algebra. --- Fourier analysis. --- Special functions. --- History. --- Number theory. --- Combinatorics. --- Number Theory. --- History of Mathematical Sciences. --- Special Functions. --- Fourier Analysis. --- Scientists --- Functions, special. --- Mathematical analysis --- Analysis, Fourier --- Special functions --- Combinatorics --- Number study --- Numbers, Theory of --- Annals --- Auxiliary sciences of history --- Math --- Science --- India. --- Bharat --- Bhārata --- Government of India --- Ḣindiston Respublikasi --- Inde --- Indi --- Indien --- Indii͡ --- Indland --- Indo --- Republic of India --- Sāthāranarat ʻIndīa --- Yin-tu