Exercises in analysis.[electronic re...
Gasinski, Leszek.

 

  • Exercises in analysis.[electronic resource] /Part 2,Nonlinear analysis
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 515
    書名/作者: Exercises in analysis./ by Leszek Gasinski, Nikolaos S. Papageorgiou.
    其他題名: Nonlinear analysis
    作者: Gasinski, Leszek.
    其他作者: Papageorgiou, Nikolaos S.
    出版者: Cham : : Springer International Publishing :, 2016.
    面頁冊數: viii, 1264 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Mathematical analysis.
    標題: Mathematics.
    標題: Functional Analysis.
    標題: Measure and Integration.
    標題: Probability Theory and Stochastic Processes.
    標題: Topology.
    ISBN: 9783319278179
    ISBN: 9783319278155
    內容註: 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.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-3-319-27817-9
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