Written by a pioneer of mathematical programming, this still-relevant treatment contains chapters on stochastic programming, decision problems, and chance constraints. Appendixes cover linear and sto
Introduction to sequential decision processes covers use of dynamic programming in studying models of resource allocation, methods for approximating solutions of control problems in continuous time, p
Written by a trailblazer in the field, this classic of mathematical programming and operational research first appeared decades ago. It remains ever relevant, offering advanced undergraduates and grad
Clear, comprehensive exposition of interrelation of game theory and linear programming, interrelation of linear programming and modern welfare economics, Leontief theory of input-output, problems of d
This concise but detailed and thorough treatment discusses the rudiments of the well-known simplex method for solving optimization problems in linear programming. Geared toward undergraduate students,
This text covers the basic theory and computation for a first course in linear programming, including substantial material on mathematical proof techniques and sophisticated computation methods. Inclu
Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforceme
This graduate textbook derives the theory of convex sets and functions, convex programming, nonlinear convex duality, and generalized convexity, then introduces numerical solution techniques for nonli
In this single-volume edition of a noted 2-volume text, the author synthesizes the concepts of game theory, programming theory, and the concepts and techniques of mathematical economics into a single
Entertaining, nontechnical introduction covers basic concepts of linear programming and its relationship to operations research; geometric interpretation and problem solving, solution techniques, netw
This advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The author emphasizes motivation and heuristics as well as applications.
Concise and highly regarded, this treatment of Green's functions and their applications in science and engineering is geared toward undergraduate and graduate students with only a moderate background
Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a
Introductory text provides foundation in the mathematical study and properties of wave motion. Topics include physical consequences of wave theory of material properties and extensive applications to
This introduction to Boolean algebra begins with an intuitive approach to set theory and an axiomatic account of the fundamentals of Boolean algebra, proceeding to concise accounts of applications to
Suitable for advanced undergraduates and graduate students, this text introduces the broad scope of convexity by highlighting diverse applications. Topics include characterizations of convex sets, pol
A self-contained treatment, this text covers both theory and applications. Topics include homogeneous finite and infinite Markov chains, including those employed in the mathematical modeling of psycho
This text develops the theory of systems of stochastic differential equations and presents applications in probability, partial differential equations, and stochastic control problems. Originally publ
本書內容包含PART I: DESCRIBING THE SYSTEM AND EVALUATING ITS PERFORMANCE 1. Introduction 2. The Performance Measure PART II: DYNAMIC PROGRAMMING 3. Dynamic Programming PART III: THE CALCULUS OF VARIATIO
This undergraduate text introduces the theory of two-person and n-person games, then describes some applications of game theory in mathematical economics, the evolution of animal behavior, and bidding
First integrated treatment of main ideas behind Rene Thom's theory of catastrophes stresses detailed applications in the physical sciences. Mathematics of theory explained with a minimum of technicali
One of the best-written, most skillful expositions of group theory and its physical applications, directed primarily to advanced undergraduate and graduate students in physics, especially quantum phy
This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devoted to applications, geometrical optics, parti
Put on your thinking cap and get inventive! Make a musical instrument from glass bottles, use a drop of water to create a microscope, develop your own computer programming language, and more! Filled w
A complete and systematic treatise on the physical properties and the practical applications of piezoelectrical crystals, this two-volume survey was prepared by an expert in the field for researchers
A comprehensive text on matrix theory and its applications, this book is intended for a broad range of students in mathematics, engineering, and other areas of science at the university level. Author
"This text covers the development of decision theory and related applications of probability. Extensive examples and illustrations cultivate students' appreciation for applications, including strength
"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an e
This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively
A presentation of systematic methods for winning differential games of pursuit and evasion, this volume explores the procedures' scope and applications. Numerous examples illustrate basic and advanced
This introductory text examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory. Topi
Geared toward advanced undergraduates and graduate engineering students, this text introduces the theory and applications of optimal control. It serves as a bridge to the technical literature, enablin
Upper-level undergraduates and graduate students will benefit from this treatment of discrete optimization algorithms, which covers linear and integer programming. It offers ready-to-use computer prog
Updated second edition presents algorithms for shortest paths, maximum flows, dynamic programming and backtracking. Also discussed are binary trees, heuristic and near optimums, matrix multiplication,
Convenient access to information from every area of mathematics: Fourier transforms,Z transforms, linear and nonlinear programming, calculus of variations, random-process theory, special functi
Thisgraduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete
This graduate-level text and reference in probability, with numerous applications to several fields of science, presents nonmeasure-theoretic introduction to theory of Markov processes. The work also
This user-friendly text offers a thorough introduction to the part of optimization theory that lies between approximation theory and mathematical programming, both linear and nonlinear. Written by two
Well-known text provides introduction to distribution theory, describes generalized Fourier and Laplace transformations and their applications to integrodifferential equations, difference equations a
A vigorous response to the challenges of incorporating computer use into the teaching and learning of stochastic processes, this book takes an applications- and computer-oriented approach rather than
