MARC details
000 -LEADER |
fixed length control field |
02594nam a22003017a 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20250209153823.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
250209b |||||||| |||| 00| 0 hin d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9781447174257 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
NISER LIBRARY |
Transcribing agency |
NISER LIBRARY |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515.124 |
Item number |
SHI-M |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Shirali, Satish |
245 10 - TITLE STATEMENT |
Title |
Metric spaces |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Place of publication, distribution, etc. |
London : |
Name of publisher, distributor, etc. |
Springer, |
Date of publication, distribution, etc. |
2022. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
viii, 222 p. : |
Other physical details |
ill. (21 b/w illustrations) ; |
Dimensions |
24 cm. |
504 ## - BIBLIOGRAPHY, ETC. NOTE |
Bibliography, etc |
Includes bibliographical references (p. 218) and index. |
520 ## - SUMMARY, ETC. |
Summary, etc. |
Since the last century, the postulational method and an abstract point of view have played a vital role in the development of modern mathematics. The experience gained from the earlier concrete studies of analysis point to the importance of passage to the limit. The basis of this operation is the notion of distance between any two points of the line or the complex plane. The algebraic properties of underlying sets often play no role in the development of analysis; this situation naturally leads to the study of metric spaces. The abstraction not only simplifies and elucidates mathematical ideas that recur in different guises, but also helps eco- mize the intellectual effort involved in learning them. However, such an abstract approach is likely to overlook the special features of particular mathematical developments, especially those not taken into account while forming the larger picture. Hence, the study of particular mathematical developments is hard to overemphasize. The language inwhich a large body of ideas and results of functional analysis are expressed is that of metric spaces. The books on functional analysis seem to go over the preliminaries of this topic far too quickly. The present authors attempt to provide a leisurely approach to the theory of metric spaces. In order to ensure that the ideas take root gradually but firmly, a large number of examples and counterexamples follow each definition. Also included are several worked examples and exercises. Applications of the theory are spread out over the entire book. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Metric spaces. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Compact space |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Connected space |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Hilbert space |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Real analysis |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Vasudeva, Harkrishan L. |
856 41 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Electronic version |
Uniform Resource Identifier |
<a href="https://link.springer.com/book/10.1007/1-84628-244-6">https://link.springer.com/book/10.1007/1-84628-244-6</a> |
856 41 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Table of contents |
Uniform Resource Identifier |
<a href="https://link.springer.com/content/pdf/bfm:978-1-84628-244-7/1">https://link.springer.com/content/pdf/bfm:978-1-84628-244-7/1</a> |
856 41 - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Reviews |
Uniform Resource Identifier |
<a href="https://www.goodreads.com/book/show/985103.Metric_Spaces?ref=nav_sb_ss_1_13#CommunityReviews">https://www.goodreads.com/book/show/985103.Metric_Spaces?ref=nav_sb_ss_1_13#CommunityReviews</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Universal Decimal Classification |
Koha item type |
Book |