000 -LEADER |
fixed length control field |
01785nam a2200217Ia 4500 |
003 - CONTROL NUMBER IDENTIFIER |
control field |
OSt |
005 - DATE AND TIME OF LATEST TRANSACTION |
control field |
20241025111559.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
180205s9999 xx 000 0 und d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
978-1-4704-1495-5 |
040 ## - CATALOGING SOURCE |
Original cataloging agency |
ICTS-TIFR |
050 ## - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA315 |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Mark Kot |
245 ## - TITLE STATEMENT |
Title |
A first course in the calculus of variation |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Name of publisher, distributor, etc. |
American Mathematical Society, |
Date of publication, distribution, etc. |
[c2014] |
Place of publication, distribution, etc. |
Rhode Island: |
300 ## - Physical Description |
Pages: |
298 p. |
490 ## - SERIES STATEMENT |
Series statement |
Student Mathematical Library |
Volume/sequential designation |
Vol. 72 |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Chapter 1. Introduction<br/>Chapter 2. The first variation<br/>Chapter 3. Cases and examples<br/>Chapter 4. Basic generalizations<br/>Chapter 5. Constraints<br/>Chapter 6. The second variation<br/>Chapter 7. Review and preview<br/>Chapter 8. The homogeneous problem<br/>Chapter 9. Variable-endpoint conditions<br/>Chapter 10. Broken extremals<br/>Chapter 11. Strong variations<br/>Chapter 12. Sufficient conditions<br/> |
520 ## - SUMMARY, ETC. |
Summary, etc. |
The text lays out important necessary and sufficient conditions for extrema in historical order, and it illustrates these conditions with numerous worked-out examples from mechanics, optics, geometry, and other fields.The exposition starts with simple integrals containing a single independent variable, a single dependent variable, and a single derivative, subject to weak variations, but steadily moves on to more advanced topics, including multivariate problems, constrained extrema, homogeneous problems, problems with variable endpoints, broken extremals, strong variations, and sufficiency conditions. Numerous line drawings clarify the mathematics.Each chapter ends with recommended readings that introduce the student to the relevant scientific literature and with exercises that consolidate understanding.---Summary provided by publisher |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Mathematics |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Koha item type |
Book |