Search Results

Number Theory in the Spirit of Ramanujan

Download or Read eBook Number Theory in the Spirit of Ramanujan PDF written by Bruce C. Berndt and published by American Mathematical Soc.. This book was released on 2006 with total page 210 pages. Available in PDF, EPUB and Kindle.
Number Theory in the Spirit of Ramanujan
Author :
Publisher : American Mathematical Soc.
Total Pages : 210
Release :
ISBN-10 : 9780821841785
ISBN-13 : 0821841785
Rating : 4/5 (85 Downloads)

Book Synopsis Number Theory in the Spirit of Ramanujan by : Bruce C. Berndt

Book excerpt: 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.


Number Theory in the Spirit of Ramanujan Related Books

Number Theory in the Spirit of Ramanujan
Language: en
Pages: 210
Authors: Bruce C. Berndt
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

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 numb
Number Theory in the Spirit of Liouville
Language: en
Pages: 307
Authors: Kenneth S. Williams
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

A gentle introduction to Liouville's powerful method in elementary number theory. Suitable for advanced undergraduate and beginning graduate students.
My Search for Ramanujan
Language: en
Pages: 235
Authors: Ken Ono
Categories: Mathematics
Type: BOOK - Published: 2016-04-20 - Publisher: Springer

DOWNLOAD EBOOK

"The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little pr
Invitation To Q-series, An: From Jacobi's Triple Product Identity To Ramanujan's
Language: en
Pages: 237
Authors: Hei-chi Chan
Categories: Mathematics
Type: BOOK - Published: 2011-04-04 - Publisher: World Scientific

DOWNLOAD EBOOK

The aim of these lecture notes is to provide a self-contained exposition of several fascinating formulas discovered by Srinivasa Ramanujan. Two central results
Elementary Methods in Number Theory
Language: en
Pages: 518
Authors: Melvyn B. Nathanson
Categories: Mathematics
Type: BOOK - Published: 2008-01-11 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This basic introduction to number theory is ideal for those with no previous knowledge of the subject. The main topics of divisibility, congruences, and the dis
Scroll to top