Exercises in Analysis : Part 1

種類:

電子ブック

責任表示:

by Leszek Gasińksi, Nikolaos S. Papageorgiou

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2014

著者名:

• Gasińksi, Leszek
• Papageorgiou, Nikolaos S.
• SpringerLink (Online service)

シリーズ名:

Problem Books in Mathematics ;

ISBN:

9783319061764 [3319061763]    

注記:

Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration, and Martingales; measure and topology; and functional analysis. Each of five topics correspond 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. At least 170 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

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