Variational principles in mathematical physics, geometry, and economics (Record no. 18758)

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
Holdings
Withdrawn status Lost status Damaged status Not for loan Home library Current library Date acquired Inventory number Full call number Barcode Date last seen Price effective from Koha item type
        IMAR IMAR 03/21/2024 Mcd 29805 II 36275 0020960 03/21/2024 03/21/2024 Carti

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