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Linear and Nonlinear Functional Analysis with Applications: With 401 Problems and 52 Figures

Linear and Nonlinear Functional Analysis with Applications: With 401 Problems and 52 Figures

Hardcover

CalculusGeneral Mathematics

Currently unavailable to order

ISBN10: 1611972582
ISBN13: 9781611972580
Publisher: Society for Industrial and Applied Mathematic
Published: Nov 21 2013
Pages: 840
Language: English
Functional analysis occupies a central position in modern mathematics, and has powerful applications in many other branches of the subject. This book provides a thorough and self-contained introduction to the basic aspects of both linear and nonlinear functional analysis. Most of the major results are accompanied by complete proofs, and illustrated with a variety of applications to numerical analysis, optimisation theory, and partial differential equations. As well as covering a vast amount of foundational material, historical notes and many original references are included to help the reader explore the genesis of some important results. This book is intended for advanced undergraduates, graduate students, and researchers. With illustrations and over 400 problems, it is ideal for both teaching and self-study.

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Calculus