About this product

Product Identifiers

PublisherDover Publications, Incorporated

ISBN-100486469212

ISBN-139780486469218

eBay Product ID (ePID)127437593

Product Key Features

Number of Pages190 Pages

Publication NameSet Theory and the Continuum Hypothesis

LanguageEnglish

Publication Year2008

SubjectSet Theory, Logic

TypeTextbook

AuthorPaul J. Cohen

Subject AreaMathematics

SeriesDover Books on Mathematics Ser.

FormatTrade Paperback

Dimensions

Item Height0.4 in

Item Weight10.3 Oz

Item Length9.1 in

Item Width6.1 in

Additional Product Features

Intended AudienceCollege Audience

LCCN2008-042847

Dewey Edition22

IllustratedYes

Dewey Decimal510

Table Of ContentGeneral Background in Logic Zermelo-Fraenkel Set Theory The Consistsency of the Continuum Hypothesis and the Axiom of Choice The Independence of the Continuum Hypothetis and the Axiom of Choice References

SynopsisThis exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he was awarded the American Mathematical Society's B cher Prize for analysis; and in 1966, he received the Fields Medal for Logic. In this volume, the distinguished mathematician offers an exposition of set theory and the continuum hypothesis that employs intuitive explanations as well as detailed proofs. The self-contained treatment includes background material in logic and axiomatic set theory as well as an account of Kurt G del's proof of the consistency of the continuum hypothesis. An invaluable reference book for mathematicians and mathematical theorists, this text is suitable for graduate and postgraduate students and is rich with hints and ideas that will lead readers to further work in mathematical logic., This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The independence of the continuum hypothesis is the focus of this study by Paul J. Cohen. It presents not only an accessible technical explanation of the author's landmark proof but also a fine introduction to mathematical logic. An emeritus professor of mathematics at Stanford University, Dr. Cohen won two of the most prestigious awards in mathematics: in 1964, he was awarded the American Mathematical Society's Bôcher Prize for analysis; and in 1966, he received the Fields Medal for Logic. In this volume, the distinguished mathematician offers an exposition of set theory and the continuum hypothesis that employs intuitive explanations as well as detailed proofs. The self-contained treatment includes background material in logic and axiomatic set theory as well as an account of Kurt Gödel's proof of the consistency of the continuum hypothesis. An invaluable reference book for mathematicians and mathematical theorists, this text is suitable for graduate and postgraduate students and is rich with hints and ideas that will lead readers to further work in mathematical logic., 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., This exploration of a notorious mathematical problem is the work of the man who discovered the solution. The award-winning author employs intuitive explanations and detailed proofs in this self-contained treatment. 1966 edition. Copyright renewed 1994.

LC Classification NumberQA248.C614 2008