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Suitable for advanced undergraduates or beginning graduate students, this introduction to Ramanujan's work in q-series and theta functions also sets this greatest of number theorists within the context of his world in and out of mathematics. Berndt keeps in the spirit of Ramanujan in his proofs (Ramanujan did not record his own) and gives a summary of the results established for each chapter, placing them in historical and contemporary contexts. He covers Ramanujan's work in congruences for p(n) and r(n), sums of squares and sums of triangular numbers, Eisenstein series, the connection between hypergeometric functions and theta functions and the applications of the primary theorem, and the Rogers-Ramanujan continued fraction. The resulting text is concise, rigorous, elegant and exhilarating in its explanations of Ramanujan's invisible proofs. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)
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Book by Bruce C Berndt
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Good. UK stocked, available immediately. Trade paperback, published by AMS in 2006. Light bends to the corners only, the text is unmarked throughout. A nice bright copy. Codice articolo sk10rew252
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Condizione: New. Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Series: Student Mathematical Library. Num Pages: 187 pages, 1 port. BIC Classification: PBH; PBK. Category: (P) Professional & Vocational. Dimension: 217 x 139 x 12. Weight in Grams: 248. . 2006. Paperback. . . . . Codice articolo V9780821841785
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Number Theory in the Spirit of Ramanujan
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American Mathematical Society, US, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Paperback. Condizione: New. Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics.The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory. Codice articolo LU-9780821841785
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, US, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Paperback. Condizione: New. Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics.The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory. Codice articolo LU-9780821841785
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Einband - flex.(Paperback). Condizione: New. Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich history dating back to Euler and Jacobi, and they continue to . Codice articolo 595068029
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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Condizione: New. Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Series: Student Mathematical Library. Num Pages: 187 pages, 1 port. BIC Classification: PBH; PBK. Category: (P) Professional & Vocational. Dimension: 217 x 139 x 12. Weight in Grams: 248. . 2006. Paperback. . . . . Books ship from the US and Ireland. Codice articolo V9780821841785
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Number Theory in the Spirit of Ramanujan
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Paperback. Condizione: Brand New. 187 pages. 8.50x5.75x0.50 inches. In Stock. Codice articolo __0821841785
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Number Theory in the Spirit of Ramanujan
Editore:
American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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American Mathematical Society, 2006
ISBN 10: 0821841785
ISBN 13: 9780821841785
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