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A Book of Set Theory 요약정보 및 구매

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지은이 Charles C. Pinter
발행년도 2014-09-05
판수 1판
페이지 256
ISBN 9780486497082
도서상태 구매가능
판매가격 25,000원
포인트 0점
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  • A Book of Set Theory
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  • Suitable for upper-level undergraduates, this accessible approach to set theory poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. Starting with a repetition of the familiar arguments of elementary set theory, the level of abstract thinking gradually rises for a progressive increase in complexity. A historical introduction presents a brief account of the growth of set theory, with special emphasis on problems that led to the development of the various systems of axiomatic set theory. Subsequent chapters explore classes and sets, functions, relations, partially ordered classes, and the axiom of choice. Other subjects include natural and cardinal numbers, finite and infinite sets, the arithmetic of ordinal numbers, transfinite recursion, and selected topics in the theory of ordinals and cardinals. This updated edition features new material by author Charles C. Pinter.

  • Preface


    Chapter 0 Historical Introduction 

    Chapter 1 Classes and Sets 

    Chapter 2 Functions 

    Chapter 3 Relations 

    Chapter 4 Partially Ordered Classes 

    Chapter 5 The Axiom of Choice Related Principles 

    Chapter 6 The Natural Numbers 

    Chapter 7 Finite and Infinite Sets 

    Chapter 8 Arthmetic of Cardinal Numbers 

    Chapter 9 Arthmetic of Ordinal Numbers 

    Chapter 10 Transfinite Recursion, Selected Topics in the Theory of Ordinals 

    Chapter 11 Consistency and Independence in Set Theory


    Bibliography 

    Index 

  • 지은이: 찰스 핀터(Charles C. Pinter)

    Charles Pinter is Professor Emeritus of Mathematics at Bucknell University and the author of Dover's highly successful Book of Abstract Algebra.

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