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Contributions to the Founding of the Theory of Transfinite Numbers

One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable;

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On Numbers and Games

games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths;

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Infinite Electrical Networks

tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other;

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Cambridge Tracts in Mathematics

tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other;

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Set Theory

within the framework of axiomatic set theory. The reader will need to be comfortable reading and writing mathematical proofs. The proofs in this;

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Classic Set Theory

sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant;

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Classic Set Theory

sufficient grounding in a rigorous approach to the revolutionary results of set theory as well as pleasure in being able to tackle significant;

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A Book of Set Theory

of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory;

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Theory of Functions of Real Variables

system and point sets to set theory and metric spaces.Starting with a brief exposition of the ideas and methods of deductive logic, the;

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Set Theory and its Logic Rev

This is an extensively revised edition of W. V. Quine's introduction to abstract set theory and to various axiomatic systematizations;

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Set Theory and the Continuum Problem

A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first;

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The Philosophy of Set Theory

beginning of set theory and the foundation for most of contemporary mathematics. As Cantor's sometime collaborator, David Hilbert, remarked;

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Theory of Functions of a Real Variable

account of integration theory and a practical introduction to functional analysis. Prerequisites include a background in the foundations;

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Complexity and Approximation: In Memory of Ker-I Ko

the computation of Turing machines. He contributed significantly to advancing the theory of structural complexity, especially on polynomial;

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Chaos

figures, animations of chaotic motion (available on a companion CD), and biographical sketches of the pioneers of dynamics and chaos theory. To;

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Contributions to the Theory of Nonlinear Oscillations (AM-29), Volume II

earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.;

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Contributions to the Theory of Games (AM-28), Volume II

earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.;

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Naive Set Theory

This classic by one of the twentieth century's most prominent mathematicians offers a concise introduction to set theory. Suitable for;

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Structure of Sociological Theory

This text covers new and emerging aspects of sociological theory and examines the significant contributions of both modern and founding;

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Axiomatic Set Theory

most impressive answers has been the axiomatic development of set theory. The question raised is: "Exactly what assumptions, beyond those;

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Images of Mathematics Viewed Through Number, Algebra, and Geometry

themes of the subject. This book, building from the basics of numbers, algebra, and geometry provides sufficient background to make these themes;

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History of the Theory of Numbers

at the University of Chicago for four decades and is celebrated for his many contributions to number theory and group theory. This first;

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Plato and the Founding of the Academy

relation to the founding of the Academy. The author thoroughly explains the process of Plato's composition thus revealing the intent in the;

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Infinity in Logic and Computation

and improvement. The papers address all aspects of infinity in automata theory, logic, computability and verification and focus on topics such;

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The Mathematical Traveler

The story of numbers is a rich, sweeping history that shows how our mathematical achievements contributed to the greatest innovations;

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Combinatorial Games

-Grundy theory. Conway discusses a variety of ways in which games can be played simultaneously. Berlekamp uses the theory of 'hot' games to make;

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Notes on Set Theory

gives a solid introduction to pure set theory through transfinite recursion and the construction of the cumulative hierarchy of sets, and also;

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