000 -LEADER |
fixed length control field |
01627 a2200229 4500 |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20190603155502.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
190530b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
ISBN |
9781107007314 |
040 ## - CATALOGING SOURCE |
Transcribing agency |
IIT Kanpur |
041 ## - LANGUAGE CODE |
Language code of text/sound track or separate title |
eng |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
516 |
Item number |
Si53c |
100 ## - MAIN ENTRY--AUTHOR NAME |
Personal name |
Simon, Barry |
245 ## - TITLE STATEMENT |
Title |
Convexity |
Remainder of title |
an analytic viewpoint |
Statement of responsibility, etc |
Barry Simon |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher |
Cambridge University Press |
Year of publication |
2011 |
Place of publication |
New York |
300 ## - PHYSICAL DESCRIPTION |
Number of Pages |
ix, 345p |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Cambridge tracts in mathematics |
490 ## - SERIES STATEMENT |
Series statement |
/ edited by B. Bollobas; v.187 |
520 ## - SUMMARY, ETC. |
Summary, etc |
Convexity is important in theoretical aspects of mathematics and also for economists and physicists. In this monograph the author provides a comprehensive insight into convex sets and functions including the infinite-dimensional case and emphasizing the analytic point of view. Chapter one introduces the reader to the basic definitions and ideas that play central roles throughout the book. The rest of the book is divided into four parts: convexity and topology on infinite-dimensional spaces; Loewner's theorem; extreme points of convex sets and related issues, including the Krein–Milman theorem and Choquet theory; and a discussion of convexity and inequalities. The connections between disparate topics are clearly explained, giving the reader a thorough understanding of how convexity is useful as an analytic tool. A final chapter overviews the subject's history and explores further some of the themes mentioned earlier. This is an excellent resource for anyone interested in this central topic. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Mathematical analysis |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical Term |
Convex domains |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Koha item type |
Books |