Exercises in Analysis : Part 2: Nonlinear Analysis

Exercises in Analysis : Part 2: Nonlinear Analysis - Problem Books in Mathematics

1st ed. 2016

Hardback (08 Aug 2016)

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Publisher's Synopsis

This second of two Exercises in Analysis volumes covers problems in five core topics of mathematical analysis: Function Spaces, Nonlinear and Multivalued Maps, Smooth and Nonsmooth Calculus, Degree Theory and Fixed Point Theory, and Variational and Topological Methods. Each of five topics corresponds to a different chapter with inclusion of the basic theory and accompanying main definitions and results,
followed by suitable comments and remarks for better understanding of the material. Exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic.

This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help in course preparation. Researchers in analysis may find this Work useful as a summary of analytic theories published in one accessible volume.

Book information

ISBN: 9783319278155
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
Edition: 1st ed. 2016
DEWEY: 515.7
DEWEY edition: 23
Language: English
Weight: 2180g
Height: 188mm
Width: 263mm
Spine width: 62mm