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- catalog abstract "This book 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. -- Publisher description.".
- catalog contributor b9164296.
- catalog created "1996.".
- catalog date "1996".
- catalog date "1996.".
- catalog dateCopyrighted "1996.".
- catalog description "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.".
- catalog description "Includes bibliographical references (p. 349-350) and index.".
- catalog description "This book 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. -- Publisher description.".
- catalog extent "xvii, 357 p. :".
- catalog identifier "0521497191 (hc)".
- catalog identifier "0521497701 (pb)".
- catalog issued "1996".
- catalog issued "1996.".
- catalog language "eng".
- catalog publisher "Cambridge ; New York : Cambridge University Press,".
- catalog subject "519.3 20".
- catalog subject "Mathematical optimization.".
- catalog subject "Programming (Mathematics)".
- catalog subject "QA402.5 .S837 1996".
- catalog tableOfContents "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.".
- catalog title "A first course in optimization theory / Rangarajan K. Sundaram.".
- catalog type "text".