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McKean, Henry P./ Moll, Victor 作者

Cambridge Univ Pr

译者

1999-8 出版日期

298 页数

$ 56.50 价格

Pap

丛书系列

9780521658171 图书编码

Elliptic Curves 在线电子书图书标签: 计算机科学数学 Mathematics

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Elliptic Curves 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Elliptic Curves 在线电子书图书描述

The subject of elliptic curves is one of the jewels of nineteenth-century mathematics, whose masters were Abel, Gauss, Jacobi, and Legendre. This book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows a historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. The many exercises with hints scattered throughout the text give the reader a glimpse of further developments. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics.

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