书目名称 | Exercises in Analysis |
副标题 | Part 2: Nonlinear An |
编辑 | Leszek Gasiński,Nikolaos S. Papageorgiou |
视频video | |
概述 | 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 |
丛书名称 | Problem Books in Mathematics |
图书封面 |  |
描述 | 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 hel |
出版日期 | Textbook 2016 |
关键词 | degree theory; fixed point theory; function spaces; nonlinear and multivalued maps; smooth and nonsmooth |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-27817-9 |
isbn_softcover | 978-3-319-80221-3 |
isbn_ebook | 978-3-319-27817-9Series ISSN 0941-3502 Series E-ISSN 2197-8506 |
issn_series | 0941-3502 |
copyright | Springer International Publishing Switzerland 2016 |