A first course in the calculus of variations (Record no. 59893)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 01930nam a22002297a 4500 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 230510b |||||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9781470437398 (PB) |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 080 ## - UNIVERSAL DECIMAL CLASSIFICATION NUMBER | |
| Universal Decimal Classification number | 517.97 |
| Item number | KOT |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Kot, Mark |
| 245 ## - TITLE STATEMENT | |
| Title | A first course in the calculus of variations |
| 250 ## - EDITION STATEMENT | |
| Edition statement | Indian Edition |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Providence, Rhode Island |
| Name of publisher | American Mathematical Society (AMS) |
| Year of publication | 2017 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | x, 298 p |
| 490 ## - SERIES STATEMENT | |
| Series statement | Student Mathematical Library |
| Volume number/sequential designation | 72 |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction<br/>The first variation<br/>Cases and examples<br/>Basic generalizations<br/>Constraints<br/>The second variation<br/>Review and preview<br/>The homogeneous problem<br/>Variable-endpoint conditions<br/>Broken extremals<br/>Strong variations<br/>Sufficient conditions |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book is intended for a first course in the calculus of variations, at the senior or beginning graduate level. The reader will learn methods for finding functions that maximize or minimize integrals. 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. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Calculus of variations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Calculus of variations and optimal control; optimization |
| 690 ## - LOCAL SUBJECT ADDED ENTRY--TOPICAL TERM (OCLC, RLIN) | |
| Topical term or geographic name as entry element | Mathematics |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | BOOKS |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Full call number | Accession Number | Koha item type | Owner (If the Item is Gratis) | Copy number |
|---|---|---|---|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 7 | 517.97 KOT | 77182 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) | |||||
| IMSc Library | IMSc Library | Multiple Copies Section, Shelf No: 7 | 517.97 KOT | 77165 | BOOKS | Gratis by NBHM (National Board of Higer Mathematics) Through Prof. R Balasubramanian | 1 |