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Table of contents

  1. Front Matter
    Pages i-viii
  2. Leszek Gasiński, Nikolaos S. Papageorgiou
    Pages 1-216
  3. Leszek Gasiński, Nikolaos S. Papageorgiou
    Pages 217-408
  4. Leszek Gasiński, Nikolaos S. Papageorgiou
    Pages 409-616
  5. Leszek Gasiński, Nikolaos S. Papageorgiou
    Pages 617-803
  6. Leszek Gasiński, Nikolaos S. Papageorgiou
    Pages 805-1034
  7. Back Matter
    Pages 1035-1062

About this book

Introduction

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.

Keywords

degree theory fixed point theory function spaces nonlinear and multivalued maps smooth and nonsmooth calculus variational and topological methods

Authors and affiliations

  • Leszek Gasiński
    • 1
  • Nikolaos S. Papageorgiou
    • 2
  1. 1.Faculty of Mathematics and Computer ScienceJagiellonian UniversityKrakowPoland
  2. 2.National Technical University Department of MathematicsAthensGreece

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-27817-9
  • Copyright Information Springer International Publishing Switzerland 2016
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-27815-5
  • Online ISBN 978-3-319-27817-9
  • Series Print ISSN 0941-3502
  • Series Online ISSN 2197-8506
  • Buy this book on publisher's site