Description
Exercises in Analysis, Softcover reprint of the original 1st ed. 2016
Part 2: Nonlinear Analysis
Problem Books in Mathematics Series
Authors: Gasiński Leszek, Papageorgiou Nikolaos S.
Language: EnglishSubjects for Exercises in Analysis:
105.49 €
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Exercises in Analysis
Publication date: 08-2016
Support: Print on demand
Publication date: 08-2016
Support: Print on demand
116.04 €
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Exercises in Analysis
Publication date: 06-2018
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Publication date: 06-2018
Support: Print on demand
Description
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/li>Biography
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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.
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.
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).
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
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