An introduction to the mathematical theory of multistage decision processes, this text takes a "functional equation" approach to the discovery of optimum policies. The text examines existence and uniqueness theorems, the optimal inventory equation, bottleneck problems in multistage production processes, a new formalism in the calculus of variation, multistage games, and more. 1957 edition. Includes 37 figures. Unabridged republication of the edition published by Princeton University Press, Princeton, New Jersey, 1957.
Computability and Unsolvability by Martin Davis Classic graduate-level introduction to theory of computability. Discusses general theory of computability, computable functions, operations on computable functions, Turing machines self-applied, unsolvable decision problems, applications of general theory, mathematical logic, Kleene hierarchy, more.
Theory of Games and Statistical Decisions by David A. Blackwell, M. A. Girshick A problem-oriented text for evaluating statistical procedures through decision and game theory. First-year graduates in statistics, computer experts and others will find this highly respected work best introduction to growing field.
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.
Nonstandard Methods in Stochastic Analysis and Mathematical Physics by Sergio Albeverio, Jens Erik Fenstad, Raphael Høegh-Krohn, Tom Lindstrøm Two-part treatment begins with a self-contained introduction to the subject, followed by applications to stochastic analysis and mathematical physics. "A welcome addition." — Bulletin of the American Mathematical Society. 1986 edition.
Multiobjective Decision Making: Theory and Methodology by Vira Chankong, Yacov Y Haimes This first-rate text concerns the theory and methodology of systems engineering as they relate to the evaluation of alternative courses of action and associated decision making. 1983 edition.
Existence Theorems for Ordinary Differential Equations by Francis J. Murray, Kenneth S. Miller This text examines fundamental and general existence theorems, along with uniqueness theorems and Picard iterants, and applies them to properties of solutions and linear differential equations. 1954 edition.
