Authors:
- 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
- Includes supplementary material: sn.pub/extras
Part of the book series: Problem Books in Mathematics (PBM)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
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.
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)
Authors and Affiliations
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Faculty of Mathematics and Computer Science, Jagiellonian University, Krakow, Poland
Leszek Gasiński
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National Technical University Department of Mathematics, Athens, Greece
Nikolaos S. Papageorgiou
About the authors
Bibliographic Information
Book Title: Exercises in Analysis
Book Subtitle: Part 2: Nonlinear Analysis
Authors: Leszek Gasiński, Nikolaos S. Papageorgiou
Series Title: Problem Books in Mathematics
DOI: https://doi.org/10.1007/978-3-319-27817-9
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-27815-5Published: 08 August 2016
Softcover ISBN: 978-3-319-80221-3Published: 07 June 2018
eBook ISBN: 978-3-319-27817-9Published: 03 May 2016
Series ISSN: 0941-3502
Series E-ISSN: 2197-8506
Edition Number: 1
Number of Pages: VIII, 1062
Topics: Functional Analysis, Measure and Integration, Probability Theory and Stochastic Processes, Topology