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A First Course in Optimization Theory

Autor Rangarajan K. Sundaram
en Limba Engleză Paperback – 12 iun 1996
This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines. The first of its three parts examines the existence of solutions to optimization problems in Rn, and how these solutions may be identified. The second part explores how solutions to optimization problems change with changes in the underlying parameters, and the last part provides an extensive description of the fundamental principles of finite- and infinite-horizon dynamic programming. Each chapter contains a number of detailed examples explaining both the theory and its applications for first-year master's and graduate students. 'Cookbook' procedures are accompanied by a discussion of when such methods are guaranteed to be successful, and, equally importantly, when they could fail. Each result in the main body of the text is also accompanied by a complete proof. A preliminary chapter and three appendices are designed to keep the book mathematically self-contained.
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Specificații

ISBN-13: 9780521497701
ISBN-10: 0521497701
Pagini: 376
Ilustrații: 11 b/w illus.
Dimensiuni: 178 x 254 x 20 mm
Greutate: 0.68 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States

Public țintă

Academic/professional/technical: Research and professional

Cuprins

1. Mathematical preliminaries; 2. Optimization in Rn; 3. Existence of solutions: the Weierstrass theorem; 4. Unconstrained optima; 5. Equality constraints and the theorem of Lagrange; 6. Inequality constraints and the theorem of Kuhn and Tucker; 7. Convex structures in optimization theory; 8. Quasi-convexity and optimization; 9. Parametric continuity: the maximum theorem; 10. Supermodularity and parametric monotonicity; 11. Finite-horizon dynamic programming; 12. Stationary discounted dynamic programming; Appendix A. Set theory and logic: an introduction; Appendix B. The real line; Appendix C. Structures on vector spaces; Bibliography.

Recenzii

'… the book is an excellent reference for self-studies, especially for students in business and economics.' H. Noltemeier, Würzberg

Descriere

This book, first published in 1996, introduces students to optimization theory and its use in economics and allied disciplines.