Foundations of Abstract Analysis - Jewgeni H. Dshalalow

Foundations of Abstract Analysis

Buch | Softcover
748 Seiten
2016 | Softcover reprint of the original 2nd ed. 2013
Springer-Verlag New York Inc.
978-1-4939-4388-3 (ISBN)
90,94 inkl. MwSt
Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study.

 

While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience. 

 

To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. 

Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability.

Jewgeni H. Dshalalow is a professor at the Florida Institute of Technology, in Melbourne, Florida, USA.

Set-Theoretic and Algebraic Preliminaries.- Analysis of Metric Spaces.- Elements of Point-Set Topology.-Measurable Spaces and Measurable Functions.- Measures.- Integration in Abstract Spaces.- Solutions to Selected Problems.- Bibliography.-List of Symbols.-Index of Names and Terms.

Erscheinungsdatum
Zusatzinfo 22 Illustrations, color; 8 Illustrations, black and white; XIII, 748 p. 30 illus., 22 illus. in color.
Verlagsort New York
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
ISBN-10 1-4939-4388-X / 149394388X
ISBN-13 978-1-4939-4388-3 / 9781493943883
Zustand Neuware
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