Lie's Structural Approach to PDE Systems pdf epub mobi txt 电子书下载 2025

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出版者:Cambridge University Press

作者:Olle Stormark

出品人:

页数:588

译者:

出版时间:2000-01-15

价格:USD 140.00

装帧:Hardcover

isbn号码:9780521780889

丛书系列:

图书标签:

PDE
数学
to
geometric
differential
Systems
Structural
Math

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Here is a lucid and comprehensive introduction to the differential geometric study of partial differential equations (PDE). The first book to present substantial results on local solvability of general and nonlinear PDE systems without using power series techniques, it describes a general approach to PDE systems based on ideas developed by Lie, Cartan and Vessiot. The central theme 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.