This overview provides a single-volume treatment of key algorithms and theories. Begins with the derivation of optimality conditions and discussions of convex programming, duality, generalized convexity, and analysis of selected nonlinear programs, and then explores techniques for numerical solutions and unconstrained optimization methods. 1976 edition. Includes 58 figures and 7 tables. Unabridged republication of the edition published by Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1976.
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Optimization Theory with Applications by Donald A. Pierre Broad-spectrum approach to important topic. Explores the classic theory of minima and maxima, classical calculus of variations, simplex technique and linear programming, optimality and dynamic programming, more. 1969 edition.
Mathematical Programming by Steven Vajda This classic by a well-known expert explores both theory and applications. It focuses on linear programming, in addition to other programming topics, and features numerous worked-out examples and problems. 1961 edition.
Applied Nonlinear Analysis by Jean-Pierre Aubin, Ivar Ekeland This introductory text offers simple presentations of the fundamentals of nonlinear analysis, with direct proofs and clear applications. Topics include smooth/nonsmooth functions, convex/nonconvex variational problems, economics, and mechanics. 1984 edition.