Foundations of abstract analysis (Record no. 32707)

000 -LEADER
fixed length control field nam a22 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240214b xxu||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781071605110
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515
Item number DSH
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Dshalalow, Jewgeni H.
245 ## - TITLE STATEMENT
Title Foundations of abstract analysis
250 ## - EDITION STATEMENT
Edition statement 2nd ed.
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc Springer,
Place of publication, distribution, etc Cham :
Date of publication, distribution, etc 2014
300 ## - PHYSICAL DESCRIPTION
Extent xiii, 748 p. ;
Dimensions 23 cm.
Other physical details ill.,
365 ## - TRADE PRICE
Price amount 3990.00
Price type code
Unit of pricing 01
490 ## - SERIES STATEMENT
Series statement Graduate Texts in Mathematics ;
Volume number/sequential designation 174
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc Includes bibliographical references and index.
520 ## - SUMMARY, ETC.
Summary, etc 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.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical analysis
Topical term or geographic name as entry element Set Theory
Topical term or geographic name as entry element Point-Set Topology
Topical term or geographic name as entry element Metric spaces
Topical term or geographic name as entry element Abstract Integration
Topical term or geographic name as entry element Measure Theory
Topical term or geographic name as entry element Point-Set Topology
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Permanent location Current location Date acquired Cost, normal purchase price Full call number Barcode Date last seen Koha item type
          DAIICT DAIICT 2024-02-08 3990.00 515 DSH 034553 2024-02-14 Books

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