Lie Groups, Physics, and Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Robert Gilmore 作者

Cambridge University Press

译者

2008-02-18 出版日期

332 页数

USD 74.00 价格

Hardcover

丛书系列

9780521884006 图书编码

Lie Groups, Physics, and Geometry 在线电子书图书标签: 物理数学数学-Lie group 物理&数学数学-微分几何 Lie

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Lie Groups, Physics, and Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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李群的关键是：代数，拓扑，微分结构的相容性带来的群的简化，利用矩阵群模型把所有的李群的要点阐述出来，最为关键的是一阶微分算子的代数化对应是和双线性的对易关系，无穷小的变换的对应物的理解和无穷小原始理解的模糊性。李群的结构的刚性的代数和拓扑的结合是光滑性（微分结构）

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Lie Groups, Physics, and Geometry 在线电子书著者简介

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Lie Groups, Physics, and Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Lie Groups, Physics, and Geometry 在线电子书图书描述

Describing many of the most important aspects of Lie group theory, this book presents the subject in a 'hands on' way. Rather than concentrating on theorems and proofs, the book shows the applications of the material to physical sciences and applied mathematics. Many examples of Lie groups and Lie algebras are given throughout the text. The relation between Lie group theory and algorithms for solving ordinary differential equations is presented and shown to be analogous to the relation between Galois groups and algorithms for solving polynomial equations. Other chapters are devoted to differential geometry, relativity, electrodynamics, and the hydrogen atom. Problems are given at the end of each chapter so readers can monitor their understanding of the materials. This is a fascinating introduction to Lie groups for graduate and undergraduate students in physics, mathematics and electrical engineering, as well as researchers in these fields.

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