Ramanujan's Lost Notebook

Ramanujan's Lost Notebook PDF Author: George E. Andrews
Publisher: Springer Science & Business Media
ISBN: 9780387255293
Category : Biography & Autobiography
Languages : en
Pages : 460

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Book Description
In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life. In this book, the notebook is presented with additional material and expert commentary.

Ramanujan's Lost Notebook

Ramanujan's Lost Notebook PDF Author: George E. Andrews
Publisher: Springer Science & Business Media
ISBN: 9780387255293
Category : Biography & Autobiography
Languages : en
Pages : 460

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Book Description
In the library at Trinity College, Cambridge in 1976, George Andrews of Pennsylvania State University discovered a sheaf of pages in the handwriting of Srinivasa Ramanujan. Soon designated as "Ramanujan’s Lost Notebook," it contains considerable material on mock theta functions and undoubtedly dates from the last year of Ramanujan’s life. In this book, the notebook is presented with additional material and expert commentary.

Notebooks of Srinivasa Ramanujan

Notebooks of Srinivasa Ramanujan PDF Author: Srinivasa Ramanujan Aiyangar
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 382

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Book Description


Ramanujan’s Notebooks

Ramanujan’s Notebooks PDF Author: Bruce C. Berndt
Publisher: Springer Science & Business Media
ISBN: 1461208793
Category : Mathematics
Languages : en
Pages : 459

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Book Description
During the years 1903-1914, Ramanujan worked in almost complete isolation in India. During this time, he recorded most of his mathematical discoveries without proofs in notebooks. Although many of his results were already found in the literature, most were not. Almost a decade after Ramanujan's death in 1920, G.N. Watson and B.M. Wilson began to edit Ramanujan's notebooks, but they never completed the task. A photostat edition, with no editing, was published by the Tata Institute of Fundamental Research in Bombay in 1957. This book is the fourth of five volumes devoted to the editing of Ramanujan's notebooks. Parts I, II, and III, published in 1985, 1989, and 1991, contain accounts of Chapters 1-21 in Ramanujan's second notebook as well as a description of his quarterly reports. This is the first of two volumes devoted to proving the results found in the unorganized portions of the second notebook and in the third notebook. The author also proves those results in the first notebook that are not found in the second or third notebooks. For those results that are known, references in the literature are provided. Otherwise, complete proofs are given. Over 1/2 of the results in the notebooks are new. Many of them are so startling and different that there are no results akin to them in the literature.

Ramanujan's Lost Notebook

Ramanujan's Lost Notebook PDF Author: George E. Andrews
Publisher: Springer Science & Business Media
ISBN: 0387777660
Category : Mathematics
Languages : en
Pages : 423

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Book Description
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." The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work.

The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan

The Boy Who Dreamed of Infinity: A Tale of the Genius Ramanujan PDF Author: Amy Alznauer
Publisher: Candlewick
ISBN: 0763690481
Category : Juvenile Nonfiction
Languages : en
Pages : 49

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Book Description
A young mathematical genius from India searches for the secrets hidden inside numbers — and for someone who understands him — in this gorgeous picture-book biography. A mango . . . is just one thing. But if I chop it in two, then chop the half in two, and keep on chopping, I get more and more bits, on and on, endlessly, to an infinity I could never ever reach. In 1887 in India, a boy named Ramanujan is born with a passion for numbers. He sees numbers in the squares of light pricking his thatched roof and in the beasts dancing on the temple tower. He writes mathematics with his finger in the sand, across the pages of his notebooks, and with chalk on the temple floor. “What is small?” he wonders. “What is big?” Head in the clouds, Ramanujan struggles in school — but his mother knows that her son and his ideas have a purpose. As he grows up, Ramanujan reinvents much of modern mathematics, but where in the world could he find someone to understand what he has conceived? Author Amy Alznauer gently introduces young readers to math concepts while Daniel Miyares’s illustrations bring the wonder of Ramanujan’s world to life in the inspiring real-life story of a boy who changed mathematics and science forever. Back matter includes a bibliography and an author’s note recounting more of Ramanujan’s life and accomplishments, as well as the author’s father’s remarkable discovery of Ramanujan’s Lost Notebook.

Ramanujan's Notebooks

Ramanujan's Notebooks PDF Author: Srinivasa Ramanujan Aiyangar
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 536

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Book Description


Number Theory and Discrete Mathematics

Number Theory and Discrete Mathematics PDF Author: A. K. Agarwal
Publisher: Springer
ISBN: 938627910X
Category : Mathematics
Languages : en
Pages : 314

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Book Description


Ramanujan

Ramanujan PDF Author: Srinivasa Ramanujan Aiyangar
Publisher: American Mathematical Soc.
ISBN: 9780821891254
Category : Mathematics
Languages : en
Pages : 366

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Book Description
The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

The Mathematical Legacy of Srinivasa Ramanujan

The Mathematical Legacy of Srinivasa Ramanujan PDF Author: M. Ram Murty
Publisher: Springer Science & Business Media
ISBN: 8132207696
Category : Mathematics
Languages : en
Pages : 185

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Book Description
Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing 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 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 still has an impact on many different fields of mathematical research. This 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.

Collected Papers of Srinivasa Ramanujan

Collected Papers of Srinivasa Ramanujan PDF Author: Srinivasa Ramanujan
Publisher: Cambridge University Press
ISBN: 1107536510
Category : Mathematics
Languages : en
Pages : 393

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Book Description
Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887-1920), with editorial contributions from G. H. Hardy (1877-1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.