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Books in Mathematics

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2621-2630 of 2668 results in All results

Axiomatics of Classical Statistical Mechanics

  • 1st Edition
  • Volume 11
  • January 1, 1960
  • Rudolf Kurth
  • I. N. Sneddon + 2 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 1 - 9 4 7 8 - 3
Axiomatics of Classical Statistical Mechanics provides an understanding of classical statistical mechanics as a deductive system. This book presents the mechanical systems of a finite number of degrees of freedom. Organized into seven chapters, this book begins with an overview of the average behavior of mechanical systems. This text then examines the concept of a mechanical system and explains the equations of motion of the system. Other chapters consider an ensemble of mechanical systems wherein a Hamiltonian function and a truncated canonical probability density corresponds to each system. This book discusses as well the necessary and sufficient conditions that are given for the existence of statistically stationary states and for the approach of mechanical systems towards these states. The final chapter deals with the fundamental laws of thermodynamics. This book is a valuable resource for mathematicians.

Theory of Markov Processes

  • 1st Edition
  • January 1, 1960
  • E. B. Dynkin
  • T. Köváry
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 2 6 1 0 - 1
Theory of Markov Processes provides information pertinent to the logical foundations of the theory of Markov random processes. This book discusses the properties of the trajectories of Markov processes and their infinitesimal operators. Organized into six chapters, this book begins with an overview of the necessary concepts and theorems from measure theory. This text then provides a general definition of Markov process and investigates the operations that make possible an inspection of the class of Markov processes corresponding to a given transition function. Other chapters consider the more complicated operation of generating a subprocess. This book discusses as well the construction of Markov processes with given transition functions. The final chapter deals with the conditions to be imposed on the transition function so that among the Markov processes corresponding to this function, there should be at least one. This book is a valuable resource for mathematicians, students, and research workers.

Homotopy Theory

  • 1st Edition
  • Volume 8
  • January 1, 1959
  • Sze-tsen HU
  • English
  • eBook
    9 7 8 - 0 - 0 8 - 0 8 7 3 1 6 - 9

Strength of Materials

  • 1st Edition
  • January 1, 1959
  • John Case + 1 more
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 2 1 7 2 - 4
Strength of Materials: An Introduction to the Analysis of Stress and Strain is 22-chapter introductory text to the problems of stress and strain analysis. The first chapters explore the fundamental and basic topics on stress and strain, including tension, compression, pin-jointed frames, joints, and connections. The next chapters consider the application of combined simple direct and shearing stresses in practical situations. Other chapters treat topics on plastic, elastic, and strain, as well as problems of thin-walled tubes in bending and torsion. This text also explores the analytical uses of the principle of virtual work, strain energy, and complementary energy. The last chapters review problems of vibrations and dynamic and impact stresses. This book is directed toward undergraduate engineering students.

Mathematical Methods and Theory in Games, Programming, and Economics

  • 1st Edition
  • January 1, 1959
  • Samuel Karlin
  • Z. W. Birnbaum
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 2 2 9 8 - 1
Matrix Games, Programming, and Mathematical Economics deals with game theory, programming theory, and techniques of mathematical economics in a single systematic theory. The principles of game theory and programming are applied to simplified problems related to economic models, business decisions, and military tactics. The book explains the theory of matrix games and some of the tools used in the analysis of matrix games. The text describes optimal strategies for matrix games which have two basic properties, as well as the construction of optimal strategies. The book investigates the structure of sets of solutions of discrete matrix games, with emphasis on the class of games whose solutions are unique. The examples show the use of dominance concepts, symmetries, and probabilistic arguments that emphasize the principles of game theory. One example involves two opposing political parties in an election campaign, particularly, how they should distribute their advertising efforts for wider exposure. The text also investigates how to determine an optimal program from several choices that results with the maximum or minimum objective. The book also explores the analogs of the duality theorem, the equivalence of game problems to linear programming problems, and also the inter-industry nonlinear activity analysis model requiring special mathematical methods. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by mathematicians, engineers, economists, military strategists, or statisticians who formulate decisions using mathematical analysis and linear programming.

Mathematical Methods and Theory in Games, Programming, and Economics

  • 1st Edition
  • January 1, 1959
  • Samuel Karlin
  • Z. W. Birnbaum
  • English
  • eBook
    9 7 8 - 1 - 4 8 3 2 - 2 4 0 0 - 8
Mathematical Methods and Theory in Games, Programming, and Economics, Volume II provides information pertinent to the mathematical theory of games of strategy. This book presents the mathematical tools for manipulating and analyzing large sets of strategies. Organized into nine chapters, this volume begins with an overview of the fundamental concepts in game theory, namely, strategy and pay-off. This text then examines the identification of strategies with points in Euclidean n-space, which is a convenience that simplifies the mathematical analysis. Other chapters provide a discussion of the theory of finite convex games. This book discusses as well the extension of the theory of convex continuous games to generalized convex games, which leads to the characterization that such games possess optimal strategies of finite type. The final chapter deals with the components of a simple two-person poker game. This book is a valuable resource for mathematicians, statisticians, economists, social scientists, and research workers.