MARC details
| 000 -LEADER |
|---|
| fixed length control field |
02746nmm a22003135i 4500 |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
|---|
| control field |
20230705150634.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
|---|
| fixed length control field |
180619s2018 sz | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9783319776378 |
| -- |
978-3-319-77637-8 |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
519.6 |
| Edition number |
23 |
|
|---|
| Classification number |
515.64 |
| Edition number |
23 |
| 100 ## - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Rindler, Filip. |
| 9 (RLIN) |
20280 |
| 245 ## - TITLE STATEMENT |
|---|
| Title |
Calculus of Variations |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc. |
by Filip Rindler. |
| 250 ## - EDITION STATEMENT |
|---|
| Edition statement |
1st ed. 2018. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
|---|
| Place of publication, distribution, etc. |
Cham : |
| Name of publisher, distributor, etc. |
Springer International Publishing : |
| -- |
Imprint: Springer, |
| Date of publication, distribution, etc. |
2018. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XII, 444 p. 36 illus., 2 illus. in color. |
| Other physical details |
online resource. |
| 505 ## - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
Part I Basic Course -- 1 Introduction -- 2 Convexity -- 3 Variations -- 4 Young Measures -- 5 Quasiconvexity -- 6 Polyconvexity -- 7 Relaxation -- Part II Advanced Topics -- 8 Rigidity -- 9 Microstructure -- 10 Singularities -- 11 Linear-Growth Functionals -- 12 Generalized Young Measures -- 13 G-Convergence -- A Prerequisites -- References -- Index. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc. |
This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field. Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange multipliers, Noether's Theorem and some regularity theory. Based on the efficient Young measure approach, the author then discusses the vectorial theory of integral functionals, including quasiconvexity, polyconvexity, and relaxation. In the second part, more recent material such as rigidity in differential inclusions, microstructure, convex integration, singularities in measures, functionals defined on functions of bounded variation (BV), and Γ-convergence for phase transitions and homogenization are explored. While predominantly designed as a textbook for lecture courses on the calculus of variations, this book can also serve as the basis for a reading seminar or as a companion for self-study. The reader is assumed to be familiar with basic vector analysis, functional analysis, Sobolev spaces, and measure theory, though most of the preliminaries are also recalled in the appendix. |
| 650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name entry element |
Mathematical optimization. |
| 9 (RLIN) |
20281 |
|
|---|
| Topical term or geographic name entry element |
Calculus of variations. |
| 9 (RLIN) |
20282 |
|
|---|
| Topical term or geographic name entry element |
Differential equations. |
| 9 (RLIN) |
20283 |
|
|---|
| Topical term or geographic name entry element |
Functional analysis. |
| 9 (RLIN) |
20284 |
|
|---|
| Topical term or geographic name entry element |
Mathematical physics. |
| 9 (RLIN) |
20285 |
|
|---|
| Topical term or geographic name entry element |
Calculus of Variations and Optimization. |
| 9 (RLIN) |
20286 |
|
|---|
| Topical term or geographic name entry element |
Differential Equations. |
| 9 (RLIN) |
20287 |
|
|---|
| Topical term or geographic name entry element |
Functional Analysis. |
| 9 (RLIN) |
20288 |
|
|---|
| Topical term or geographic name entry element |
Mathematical Physics. |
| 9 (RLIN) |
20289 |
| 856 ## - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://doi.org/10.1007/978-3-319-77637-8">https://doi.org/10.1007/978-3-319-77637-8</a> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Koha item type |
e-Book |
