MARC details
000 -LEADER |
fixed length control field |
03048 a2200265 4500 |
010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
LC control number |
2010024384 |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9780521117821 (hardback) |
035 ## - SYSTEM CONTROL NUMBER |
System control number |
|
082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
515/.64 |
090 ## - LOCALLY ASSIGNED LC-TYPE CALL NUMBER (OCLC); LOCAL CALL NUMBER (RLIN) |
-- |
19014 |
-- |
19014 |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Kristaly, Alexandru |
245 ## - TITLE STATEMENT |
Title |
Variational principles in mathematical physics, geometry, and economics |
Remainder of title |
qualitative analysis of nonlinear equations and unilateral problems |
Statement of responsibility, etc. |
Alexandru Kristaly, Vicentiu Radulescu, Csaba Gyo Varga |
260 ## - PUBLICATION, DISTRIBUTION, ETC. |
Place of publication, distribution, etc. |
New York |
Name of publisher, distributor, etc. |
Cambridge University Press |
Date of publication, distribution, etc. |
2010 |
300 ## - PHYSICAL DESCRIPTION |
Extent |
xv, 368 p |
Other physical details |
ill |
Dimensions |
24 cm |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Encyclopedia of mathematics and its applications |
Number of part/section of a work |
136 |
500 ## - GENERAL NOTE |
General note |
Cuprinde bibliografie si index |
500 ## - GENERAL NOTE |
General note |
Donata bibliotecii din partea domnului Vicentiu Radulescu |
505 ## - FORMATTED CONTENTS NOTE |
Formatted contents note |
Machine generated contents note: Foreword Jean Mawhin; Preface; Part I. Variational Principles in Mathematical Physics: 1. Variational principles; 2. Variational inequalities; 3. Nonlinear eigenvalue problems; 4. Elliptic systems of gradient type; 5. Systems with arbitrary growth nonlinearities; 6. Scalar field systems; 7. Competition phenomena in Dirichlet problems; 8. Problems to Part I; Part II. Variational Principles in Geometry: 9. Sublinear problems on Riemannian manifolds; 10. Asymptotically critical problems on spheres; 11. Equations with critical exponent; 12. Problems to Part II; Part III. Variational Principles in Economics: 13. Mathematical preliminaries; 14. Minimization of cost-functions on manifolds; 15. Best approximation problems on manifolds; 16. A variational approach to Nash equilibria; 17. Problems to Part III; Appendix A. Elements of convex analysis; Appendix B. Function spaces; Appendix C. Category and genus; Appendix D. Clarke and Degiovanni gradients; Appendix E. Elements of set-valued analysis; Referenc |
520 ## - SUMMARY, ETC. |
Summary, etc. |
"This comprehensive introduction to the calculus of variations and its main principles also presents their real-life applications in various contexts: mathematical physics, differential geometry, and optimization in economics. Based on the authors' original work, it provides an overview of the field, with examples and exercises suitable for graduate students entering research. The method of presentation will appeal to readers with diverse backgrounds in functional analysis, differential geometry and partial differential equations. Each chapter includes detailed heuristic arguments, providing thorough motivation for the material developed later in the text. Since much of the material has a strong geometric flavor, the authors have supplemented the text with figures to illustrate the abstract concepts. Its extensive reference list and index also make this a valuable resource for researchers working in a variety of fields who are interested in partial differential equations and functional analysis"-- |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name entry element |
Calculus of variations |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Radulescu, Vicentiu |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Varga, Csaba Gyorgy |
856 ## - ELECTRONIC LOCATION AND ACCESS |
Materials specified |
Cover image |
Uniform Resource Identifier |
<a href="http://assets.cambridge.org/97805211/17821/cover/9780">http://assets.cambridge.org/97805211/17821/cover/9780</a> |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Institution code [OBSOLETE] |
IMAR |
Koha item type |
Carti |
Serial record flag |
MD |