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 |