Introduction to Optimization and Semidifferential Calculus (BOK)

Michael C Delfour

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This text provides a modern and mathematically rigorous treatment of semidifferential calculus in the context of optimization. Semidifferentials are a natural tool for solving certain problems in non-differentiable optimization. Classical notions in convex analysis are introduced (convexification, duality, linear and quadratic programming, two-person zero-sum games, Lagrange primal and dual problems, semiconvex and semiconcave functions) and the theory is developed to a sophisticated enough level to tackle finite-dimensional versions of problems in the calculus of variations. This text is designed for a one-term course at the undergraduate level in a wide variety of numerate disciplines and includes sufficient background material in calculus and linear algebra to be self-contained. Additional material beyond the scope of a basic undergraduate course is included to further develop the theory. The theoretical content of the text is enriched by numerous examples and exercises, for which solutions are included.

Produktfakta

Språk Engelsk Engelsk Innbinding Innbundet
Utgitt 2012 Forfatter Michael C Delfour
Forlag
CAMBRIDGE UNIVERSITY PRESS
ISBN 9781611972146
Antall sider 360 Dimensjoner 18,5cm x 26,1cm x 2,7cm
Vekt 837 gram Leverandør Bertram Trading Ltd
Emner og form Differential calculus & equations, Calculus & mathematical analysis, Optimization