Calculus of Variations I / (Record no. 3540)
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| fixed length control field | 02327nam a22002297a 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260103120554.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 201015b ||||| |||| 00| 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783540506256 |
| 041 ## - LANGUAGE CODE | |
| Language code of text/sound track or separate title | eng |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 515.64 |
| Item number | GiaC |
| 100 ## - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Giaquinta, Mariano |
| 245 ## - TITLE STATEMENT | |
| Title | Calculus of Variations I / |
| Statement of responsibility, etc | Mariano Giaquinta & Stefan Hildebrandt |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Newyork: |
| Name of publisher | Springer; |
| Year of publication | ©2009 |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | xxix, 474p. |
| 440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE | |
| Title | Grundlehren der mathematischen Wissenschaften |
| Volume number/sequential designation | v.310 |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book describes the classical aspects of the variational calculus which are of interest to analysts, geometers and physicists alike. Volume 1 deals with the for mal apparatus of the variational calculus and with nonparametric field theory, whereas Volume 2 treats parametric variational problems as well as Hamilton Jacobi theory and the classical theory of partial differential equations of first ordel;. In a subsequent treatise we shall describe developments arising from Hilbert's 19th and 20th problems, especially direct methods and regularity theory. Of the classical variational calculus we have particularly emphasized the often neglected theory of inner variations, i. e. of variations of the independent variables, which is a source of useful information such as mono tonicity for mulas, conformality relations and conservation laws. The combined variation of dependent and independent variables leads to the general conservation laws of Emmy Noether, an important tool in exploiting symmetries. Other parts of this volume deal with Legendre-Jacobi theory and with field theories. In particular we give a detailed presentation of one-dimensional field theory for nonpara metric and parametric integrals and its relations to Hamilton-Jacobi theory, geometrical optics and point mechanics. Moreover we discuss various ways of exploiting the notion of convexity in the calculus of variations, and field theory is certainly the most subtle method to make use of convexity. We also stress the usefulness of the concept of a null Lagrangian which plays an important role in we give an exposition of Hamilton-Jacobi several instances. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Calculus of Variations |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential Geometry |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Mathematical and Computational Physics |
| 700 ## - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Hildebrandi, Stefan |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | Books |
| Withdrawn status | Lost status | Damaged status | Collection code | Home library | Current library | Shelving location | Date acquired | Source of acquisition | Purchase Price | Bill number | Full call number | Accession Number | Print Price | Bill Date/Price effective from | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Mechanical | Indian Institute of Technology Tirupati | Indian Institute of Technology Tirupati | General Stacks | 15/10/2020 | The Book Syndicate | 6330.53 | BS/40114 | 515.64 GIA/C | 06931 | 10314.36 | 16/06/2020 | Books |