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A Book of Set Theory

A Book of Set Theory Author Charles C Pinter
ISBN-10 9780486497082
Release 2014-07-23
Pages 256
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"This accessible approach to set theory for upper-level undergraduates poses rigorous but simple arguments. Each definition is accompanied by commentary that motivates and explains new concepts. A historical introduction is followed by discussions of classes and sets, functions, natural and cardinal numbers, the arithmetic of ordinal numbers, and related topics. 1971 edition with new material by the author"--

Basic Set Theory

Basic Set Theory Author Azriel Levy
ISBN-10 9780486150734
Release 2012-06-11
Pages 416
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The first part of this advanced-level text covers pure set theory, and the second deals with applications and advanced topics (point set topology, real spaces, Boolean algebras, infinite combinatorics and large cardinals). 1979 edition.

Axiomatic Set Theory

Axiomatic Set Theory Author Patrick Suppes
ISBN-10 9780486136875
Release 2012-05-04
Pages 265
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Geared toward upper-level undergraduates and graduate students, this treatment examines the basic paradoxes and history of set theory and advanced topics such as relations and functions, equipollence, more. 1960 edition.

Set Theory and the Continuum Hypothesis

Set Theory and the Continuum Hypothesis Author Paul J. Cohen
ISBN-10 9780486469218
Release 2008-12-09
Pages 154
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This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.

Set Theory and Logic

Set Theory and Logic Author Robert R. Stoll
ISBN-10 9780486139647
Release 2012-05-23
Pages 512
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Explores sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories.

An Outline of Set Theory

An Outline of Set Theory Author James M. Henle
ISBN-10 9780486453378
Release 2007
Pages 145
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An innovative problem-oriented introduction to set theory, this volume is intended for undergraduate courses in which students work in groups on projects and present their solutions to the class. The three-part treatment consists of problems, hints for their solutions, and complete answers. 1986 edition.

Theory of Sets

Theory of Sets Author E. Kamke
ISBN-10 9780486450834
Release 2006
Pages 144
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This introduction to the theory of sets employs the discoveries of Cantor, Russell, Weierstrass, Zermelo, Bernstein, Dedekind, and others. It analyzes concepts and principles, offering numerous examples. Topics include the rudiments of set theory, arbitrary sets and their cardinal numbers, ordered sets and their order types, and well-ordered sets and their ordinal numbers. 1950 edition.

Naive Set Theory

Naive Set Theory Author Paul R. Halmos
ISBN-10 9780486814872
Release 2017-04-19
Pages 112
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Classic by prominent mathematician offers a concise introduction to set theory using language and notation of informal mathematics. Topics include the basic concepts of set theory, cardinal numbers, transfinite methods, more. 1960 edition.

Introduction to the Theory of Sets

Introduction to the Theory of Sets Author Joseph Breuer
ISBN-10 9780486154879
Release 2012-08-09
Pages 128
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This undergraduate text develops its subject through observations of the physical world, covering finite sets, cardinal numbers, infinite cardinals, and ordinals. Includes exercises with answers. 1958 edition.

Philosophical Introduction to Set Theory

Philosophical Introduction to Set Theory Author Stephen Pollard
ISBN-10 9780486805825
Release 2015-07-20
Pages 192
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This unique approach maintains that set theory is the primary mechanism for ideological and theoretical unification in modern mathematics, and its technically informed discussion covers a variety of philosophical issues. 1990 edition.

Set Theory and its Philosophy

Set Theory and its Philosophy Author Michael Potter
ISBN-10 9780191556432
Release 2004-01-15
Pages 360
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Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.

An Introduction to Mathematical Logic

An Introduction to Mathematical Logic Author Richard E. Hodel
ISBN-10 9780486497853
Release 2013
Pages 491
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This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

Introduction to Logic

Introduction to Logic Author Patrick Suppes
ISBN-10 9780486138053
Release 2012-07-12
Pages 336
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Part I of this coherent, well-organized text deals with formal principles of inference and definition. Part II explores elementary intuitive set theory, with separate chapters on sets, relations, and functions. Ideal for undergraduates.

Set Theory and the Continuum Problem

Set Theory and the Continuum Problem Author Raymond M. Smullyan
ISBN-10 0486474844
Release 2010
Pages 315
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A lucid, elegant, and complete survey of set theory, this three-part treatment explores axiomatic set theory, the consistency of the continuum hypothesis, and forcing and independence results. 1996 edition.

Group Theory

Group Theory Author W. R. Scott
ISBN-10 9780486140162
Release 2012-05-23
Pages 512
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Here is clear, well-organized coverage of the most standard theorems, including isomorphism theorems, transformations and subgroups, direct sums, abelian groups, and more. This undergraduate-level text features more than 500 exercises.

Set Theory The Structure of Arithmetic

Set Theory  The Structure of Arithmetic Author Norman T. Hamilton
ISBN-10 9780486830476
Release 2018-05-16
Pages 288
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This text is formulated on the fundamental idea that much of mathematics, including the classical number systems, can best be based on set theory. 1961 edition.

A Book of Abstract Algebra

A Book of Abstract Algebra Author Charles C Pinter
ISBN-10 9780486474175
Release 2010-01-14
Pages 384
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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.