Number Theory in the Spirit of Ramanujan (Paperback)

Bruce C. Berndt

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Lingua: inglese

Editore: American Mathematical Society, Providence, 2006

0821841785 / 9780821841785

Da: Grand Eagle Retail, Bensenville, IL, U.S.A.Grand Eagle Retail

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Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Codice articolo 9780821841785

Titolo
Number Theory in the Spirit of Ramanujan (Paperback)
Autore
Bruce C. Berndt
Editore
American Mathematical Society, Providence
Anno di pubblicazione
2006
Condizione
new
Rilegatura
Paperback
Lingua
inglese
ISBN 10
0821841785
ISBN 13
9780821841785

Grand Eagle Retail

Bensenville, IL, U.S.A.

Venditore con 5 stelle

Venditore AbeBooks dal 12 ottobre 2005

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