Problem Books in Mathematics

Exercises in Analysis

Part 2: Nonlinear Analysis

Authors: Gasiński, Leszek, Papageorgiou, Nikolaos S.

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  • ​Contains exercises ranging from easy to difficult, with level of difficulty designated
  • Features an encyclopedic volume of exercises in five core topics of mathematical analysis
  • Prepares students well for qualifying exams and tests their depth of understanding of the material
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eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-27817-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA in USD
  • ISBN 978-3-319-27815-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA in USD
  • ISBN 978-3-319-80221-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

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.

About the authors

Leszek Gasińksi is the Chair of Optimization and Control Theory in the Institute of Computer Science at Jagiellonian University in Krakow, Poland. He is the co-author, along with Nikolaos S. Papageorgiou, of "Nonlinear Analysis" (CRC 2005) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC 2006). Nikolaos S. Papageorgiou is a Professor of Mathematics in the School of Applied Mathematical and Physical Sciences at National Technical University in Athens, Greece. He is the co-author, along with Leszek Gasińksi, of "Nonlinear Analysis" (CRC 2005) and "Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems" (CRC 2006).

Reviews

“This book is full of interesting problems. This is a useful collection of problems (with complete solutions) in pure and applied nonlinear functional analysis. … The volume is also addressed to graduate students and to researchers in pure and applied analysis. … this volume is an excellent gateway to the culture of problem solving. It is challenging and rewarding. The book shines a new light on mathematics and engages readers with its wonderful insights and problems.” (Vicenţiu D. Rădulescu, zbMATH, 1351.00006, 2017)


Table of contents (5 chapters)

Table of contents (5 chapters)

Buy this book

eBook $89.00
price for USA in USD (gross)
  • ISBN 978-3-319-27817-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.00
price for USA in USD
  • ISBN 978-3-319-27815-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $119.00
price for USA in USD
  • ISBN 978-3-319-80221-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Exercises in Analysis
Book Subtitle
Part 2: Nonlinear Analysis
Authors
Series Title
Problem Books in Mathematics
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-27817-9
DOI
10.1007/978-3-319-27817-9
Hardcover ISBN
978-3-319-27815-5
Softcover ISBN
978-3-319-80221-3
Series ISSN
0941-3502
Edition Number
1
Number of Pages
VIII, 1062
Topics