Set Theory And The Continuum Hypothesis (Dover Books On Mathematics)

Set Theory And The Continuum Hypothesis (Dover Books On Mathematics)

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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 Bcher 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 Selfcontained Treatment Includes Background Material In Logic And Axiomatic Set Theory As Well As An Account Of Kurt Gdel'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.

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Frequently Asked Questions

  • Q: What is the primary focus of 'Set Theory and the Continuum Hypothesis'? A: The book primarily focuses on the independence of the continuum hypothesis, providing a technical explanation of Paul J. Cohen's landmark proof and insights into mathematical logic.
  • Q: Who is the author of this book? A: The author is Paul J. Cohen, an emeritus professor of mathematics at Stanford University and a recipient of the Fields Medal for Logic.
  • Q: Is this book suitable for beginners in mathematics? A: While the book offers intuitive explanations, it is primarily designed for graduate and postgraduate students, making it more suitable for those with some background in mathematics.
  • Q: What topics are covered in the book? A: The book covers set theory, the continuum hypothesis, background material in logic, axiomatic set theory, and includes an account of Kurt Gödel's proof of the consistency of the continuum hypothesis.
  • Q: What is the format of this book? A: The book is available in paperback format and consists of 190 pages.
  • Q: When was 'Set Theory and the Continuum Hypothesis' published? A: The book was published on December 9, 2008.
  • Q: Is this book intended for self-study or as a reference? A: This book serves as both a self-study resource and an invaluable reference for mathematicians and mathematical theorists.
  • Q: Does the book include exercises or problems for practice? A: The book does not explicitly mention exercises or practice problems, but it is rich with hints and ideas that can lead to further exploration in mathematical logic.
  • Q: What edition of the book is available? A: The book is available in an illustrated edition.
  • Q: What makes this book a significant contribution to mathematics? A: This book is significant because it presents Cohen's groundbreaking work on the continuum hypothesis, which has profound implications in set theory and mathematical logic.