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Exercises in analysis.. Part 2,. Non...

Gasinski, Leszek.

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Exercises in analysis.. Part 2,. Nonlinear analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Exercises in analysis./ by Leszek Gasinski, Nikolaos S. Papageorgiou.
remainder title:	Nonlinear analysis
Author:	Gasinski, Leszek.
other author:	Papageorgiou, Nikolaos S.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	viii, 1264 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Function Spaces -- 2. Nonlinear and Multivalued Maps -- 3. Smooth and Nonsmooth Calculus -- 4. Degree Theory. Fixed Point Theory -- 5. Variational and Topological Methods -- Index.
Contained By:	Springer eBooks
Subject:	Mathematical analysis. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-27817-9
ISBN:	9783319278179

Exercises in analysis.. Part 2,. Nonlinear analysis
Gasinski, Leszek.

Exercises in analysis.Part 2,Nonlinear analysis[electronic resource] /Nonlinear analysisby Leszek Gasinski, Nikolaos S. Papageorgiou. - Cham :Springer International Publishing :2016. - viii, 1264 p. :ill., digital ;24 cm. - Problem books in mathematics,0941-3502. - Problem books in mathematics..

1. Function Spaces -- 2. Nonlinear and Multivalued Maps -- 3. Smooth and Nonsmooth Calculus -- 4. Degree Theory. Fixed Point Theory -- 5. Variational and Topological Methods -- Index.

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.

ISBN: 9783319278179

Standard No.: 10.1007/978-3-319-27817-9doiSubjects--Topical Terms:

516833
Mathematical analysis.

LC Class. No.: QA300

Dewey Class. No.: 515

Exercises in analysis.. Part 2,. Nonlinear analysis
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245 1 0 $a Exercises in analysis. $n Part 2, $p Nonlinear analysis $h [electronic resource] / $c by Leszek Gasinski, Nikolaos S. Papageorgiou.
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490 1 $a Problem books in mathematics, $x 0941-3502
505 0 $a 1. Function Spaces -- 2. Nonlinear and Multivalued Maps -- 3. Smooth and Nonsmooth Calculus -- 4. Degree Theory. Fixed Point Theory -- 5. Variational and Topological Methods -- Index.
520 $a 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.
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