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portada Elliptic and Modular Functions from Gauss to Dedekind to Hecke (in English)
Type
Physical Book
Language
Inglés
Format
Hardcover
Dimensions
26.5 x 18.0 x 3.1 cm
Weight
1.04 kg.
ISBN13
9781107159389

Elliptic and Modular Functions from Gauss to Dedekind to Hecke (in English)

Ranjan Roy (Author) · Cambridge University Press · Hardcover

Elliptic and Modular Functions from Gauss to Dedekind to Hecke (in English) - Roy, Ranjan

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Synopsis "Elliptic and Modular Functions from Gauss to Dedekind to Hecke (in English)"

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.

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The book is written in English.
The binding of this edition is Hardcover.

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