偏微分方程组中的李结构法 2024 pdf epub mobi 电子书

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发表于2024-12-23

偏微分方程组中的李结构法 2024 pdf epub mobi 电子书

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出版者:清华大学

作者:斯托尔马克

出品人:

页数:572

译者:

出版时间:2004-8

价格:75.00元

装帧:

isbn号码:9787302090878

丛书系列:天元基金影印系列丛书

图书标签: 数学 PDE 偏微分方程7 Mathematics

偏微分方程组中的李结构法 2024 pdf epub mobi 电子书图书描述

This book provides a lucid and comprehensive introduction to the differential geometric study of partial differential equations. It is the first book to present substantial results on local solvability of general and, in particular, nonlinear PDE systems without using power series techniques. The book describes a general approach to systems of partial differential equations based on ideas developed by Lie, Cartan and Vessiot. The most basic question is that of local solvability, but the methods used also yield classifications of various families of PDE systems. The central idea is the exploitation of singular vector field systems and their first integrals. These considerations naturally lead to local Lie groups, Lie pseudogroups and the equivalence problem, all of which are covered in detail. This book will be a valuable resource for graduate students and researchers in partial differential equations, Lie groups and related fields.

偏微分方程组中的李结构法 2024 pdf epub mobi 电子书

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