
[书籍] 经典数学丛书(影印版):非线性分析方法
出版社:
世界图书出版公司
简介:
Many nonlinear analysis problems have their roots in geometry,astronomy,fluid and elastic mechanics,physics,chemistry,biology,control theory,image processing and economics. The theories and methods in nonlinear analysis stem from many areas of mathematics: Ordinary drfferential equations,partial differential equations,the calculus of variations,dynamical systems,differential geometry,Lie groups,algebraic topology,linear and nonlinear functional analysis,measure theory,harmonic analysis,convex analysis,game theory,optimization theory,etc. Amidst solving these problems,many branches are intertwined,thereby advancing each other. The book is the result of many years of revision of the author's lecture notes. Some of the more involved sections were originally used in seminars as introductory parts of some new subjects. However,due to their importance,the materials have been reorganized and supplemented,so that they may be more valuable to the readers.
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