Applied Nonlinear Analysis (Dover Books on Mathematics) by Jean-Pierre Aubin (PDF)

Description

Nonlinear analysis, formerly a subsidiary of linear analysis, has advanced as an individual discipline, with its own methods and applications. Moreover, students can now approach this highly active field without the preliminaries of linear analysis. As this text demonstrates, the concepts of nonlinear analysis are simple, their proofs direct, and their applications clear. No prerequisites are necessary beyond the elementary theory of Hilbert spaces; indeed, many of the most interesting results lie in Euclidean spaces.In order to remain at an introductory level, this volume refrains from delving into technical difficulties and sophisticated results not in current use. Applications are explained as soon as possible, and theoretical aspects are geared toward practical use. Topics range from very smooth functions to nonsmooth ones, from convex variational problems to nonconvex ones, and from economics to mechanics. Background notes, comments, bibliography, and indexes supplement the text.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Unfortunately, this book was not worth purchasing. I purchased this book hoping for an engineers look at nonlinear analysis. The three major flaws:1) It has virtually no prose in it. It is page after page of theorems.2) The math notation used is not explained, so unless you are a mathematics PhD student or above I don’t think you will be able to follow this book.3) All the nonlinear analysis is focused on optimization.I wish there had been some reviews of this book before I purchased it.

⭐Satisfait

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