Exercises in Analysis: Part 2: Nonlinear Analysis (Problem

Exercises in Analysis: Part 2: Nonlinear Analysis (Problem Books in Mathematics)

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.Â Each of five topics corresponds to a different chapter withÂ inclusion of the basic theory and accompanying main definitions and results,
followed by suitable comments and remarks for better understanding of theÂ material. Exercises/problems are presented for each topic, withÂ solutions available at the end of each chapter. The entire collection of exercisesÂ offers a balanced and useful picture for the application surrounding each topic.

This nearly encyclopedic coverage of exercises in mathematical analysis is theÂ first of its kind and is accessible to a wide readership. Graduate students willÂ find the collection of problems valuable in preparation for their preliminary orÂ qualifying exams as well as for testing their deeper understanding of theÂ material. Exercises are denoted by degree of difficulty. Instructors teachingÂ courses that include one or all of the above-mentioned topics will find theÂ exercises of great help in course preparation. Researchers in analysis may findÂ this Work useful as a summary of analytic theories published in one accessibleÂ volume.
Country USA
Manufacturer Springer
Binding Kindle Edition
ReleaseDate 2016-05-03
Format Kindle eBook

Country	USA
Manufacturer	Springer
Binding	Kindle Edition
ReleaseDate	2016-05-03
Format	Kindle eBook

Exercises in Analysis: Part 2: Nonlinear Analysis (Problem Books in Mathematics)

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