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Introduction to the Theory of Games

by J. C. C. McKinsey

This comprehensive overview of the mathematical theory of games illustrates applications to situations involving conflicts of interest, including economic, social, political, and military contexts. Advanced...


The Works of Archimedes

by Archimedes & Sir Thomas Heath

Complete works of ancient geometer feature such topics as the famous problems of the ratio of the areas of a cylinder and an inscribed sphere; the properties of conoids, spheroids, and spirals; more.


Algebraic Number Theory

by Edwin Weiss

Ideal either for classroom use or as exercises for mathematically minded individuals, this text introduces elementary valuation theory, extension of valuations, local and ordinary arithmetic fields, and global,...


Non-Equilibrium Thermodynamics

by S. R. De Groot & P. Mazur

Classic monograph treats irreversible processes and phenomena of thermodynamics: non-equilibrium thermodynamics. Covers statistical foundations and applications with chapters on fluctuation theory, theory of...


The Advanced Geometry of Plane Curves and Their Applications

by C. Zwikker

This study of many important curves, their geometrical properties, and their applications features material not customarily treated in texts on synthetic or analytic Euclidean geometry. 1950 edition.


The Umbral Calculus

by Steven Roman

This introductory text explores Sheffer sequences and operators and their adjoints, the connection constants problem and duplication formulas, the Lagrange inversion formula, operational formulas, inverse relations,...


Probability: Elements of the Mathematical Theory

by C. R. Heathcote

Text deals with basic notions of probablity spaces, random variables, distribution and generating functions, joint distributions and the convergence properties of sequences of random variables. Over 250 exercises...


Individual Choice Behavior: A Theoretical Analysis

by R. Duncan Luce

This treatise presents a mathematical analysis of choice behavior. Starting with a general axiom, it then examines applications of the theory to substantive problems: psychophysics, utility, and learning. 1959...


Applied Matrix Algebra in the Statistical Sciences

by Alexander Basilevsky

This comprehensive text offers teachings relevant to both applied and theoretical branches of matrix algebra and provides a bridge between linear algebra and statistical models. Appropriate for advanced undergraduate...


Stationary and Related Stochastic Processes: Sample Function Properties and Their Applications

by Harald Cramér & M. Ross Leadbetter

This graduate-level text offers a comprehensive account of the general theory of stationary processes and develops the foundations of the general theory of stochastic processes, examines processes with a continuous-time...


Mathematics for the Physical Sciences

by Herbert S Wilf

Topics include vector spaces and matrices; orthogonal functions; polynomial equations; asymptotic expansions; ordinary differential equations; conformal mapping; and extremum problems. Includes exercises and...


Iterative Solution of Large Linear Systems

by David M. Young

Includes a review of matrix theory and iterative methods; successive overrelaxation (SOR) method and stationary modified SOR method for consistently ordered matrices; nonstationary methods; generalizations of...


Stability by Fixed Point Theory for Functional Differential Equations

by T. A. Burton

The first general introduction to stability of ordinary and functional differential equations by means of fixed point techniques, this text is suitable for advanced undergraduates and graduate students. 2006...


Algebras of Holomorphic Functions and Control Theory

by Amol Sasane

Accessible, undergraduate-level text illustrates the role of algebras of holomorphic functions in the stabilization of a linear control system. Concise, self-contained treatment avoids advanced mathematics....


The Theory of Remainders

by Andrea Rothbart

An imaginative introduction to number theory and abstract algebra, this unique approach employs a pair of fictional characters whose dialogues explain theories and demonstrate applications in terms of football...


Differential Games

by Avner Friedman

Graduate-level text surveys games of fixed duration, games of pursuit and evasion, the computation of saddle points, games of survival, games with restricted phase coordinates, and N-person games. 1971 edition....


Lectures on the Coupling Method

by Torgny Lindvall

Practical and easy-to-use reference progresses from simple to advanced topics, covering, among other topics, renewal theory, Markov chains, Poisson approximation, ergodicity, and Strassen's theorem. 1992 edition....


Differential Geometry

by William C. Graustein

This first course in differential geometry presents the fundamentals of the metric differential geometry of curves and surfaces in a Euclidean space of 3 dimensions, using vector notation and technique. Nearly...


Variational Analysis: Critical Extremals and Sturmian Extensions

by Marston Morse

This text presents extended separation, comparison, and oscillation theorems that replace classical analysis. Its analysis of related quadratic functionals shows how critical extremals can substitute for minimizing...


Boundary Value Problems and Fourier Expansions

by Charles R. MacCluer

Based on modern Sobolev methods, this text integrates numerical methods and symbolic manipulation into an elegant viewpoint that is consonant with implementation by digital computer. 2004 edition. Includes 64...