登入選單
返回Google圖書搜尋
Nonlinearity and Functional Analysis
Melvyn Stuart Berger
其他書名
Lectures on Nonlinear Problems in Mathematical Analysis
出版Academic Press, 1977
主題Mathematics / CalculusMathematics / Vector AnalysisMathematics / Mathematical Analysis
ISBN01209035049780120903504
URLhttp://books.google.com.hk/books?id=2teYMwEACAAJ&hl=&source=gbs_api
註釋Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences.
This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings.
This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.