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Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)
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Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)
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.
Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)
Item #: 82922353

Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)

Item #: 82922353

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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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What Stands Out

Comprehensive Coverage
Offers an in-depth exploration of set theory and the continuum hypothesis, making complex concepts accessible for learners and enthusiasts alike, promoting a thorough understanding of fundamental mathematical principles.
Illustrated Edition
Enhanced with illustrations that clarify intricate ideas, this edition transforms abstract theories into visual representations, engaging readers and facilitating a deeper appreciation for mathematical structures and relationships.
Dover Quality
Published by Dover, known for high-quality academic resources, ensuring durability and clarity, making it an essential addition to any mathematics library for students, educators, and researchers seeking authoritative texts.

Product Details

Shop Set Theory and the Continuum Hypothesis (Dover Books on Mathematics) online at a best price in Bhutan. 0486469212
Publisher Dover Publications
Publication date December 9, 2008
Edition Illustrated
Language English
Print length 190 pages
ISBN-10 0486469212
ISBN-13 978-0486469218
Item Weight 10.4 ounces (294.84 grams)
Dimensions 6.1 x 0.4 x 9.1 inches (15.5 x 1 x 23.1 cm)
Part of series Dover Books on Mathematics

Who Should Buy?

Suitable For
  • Mathematics Students

    Ideal for college-level students studying set theory and modern mathematical concepts to enhance their understanding.

  • Researchers

    Suitable for mathematicians or researchers who are delving into set theory and the continuum hypothesis for advanced study.

  • Self-Learners

    Great for individuals interested in independent study of advanced mathematics concepts through a well-illustrated resource.

Not Suitable For
  • Casual Readers

    Not suitable for those without a strong mathematical background or interest in complex mathematical theories.

Product Description

Set Theory and the Continuum Hypothesis (Dover Books on Mathematics)

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Customer Questions & Answers

  • Question: What is the main topic of 'Set Theory and the Continuum Hypothesis'?

    Answer: The book primarily covers the foundational aspects of set theory and the mathematical exploration of the continuum hypothesis. It delves into concepts such as cardinality, ordinals, and the structure of mathematical sets. The discussion is enriched with proofs and logical discussions that reveal the intricate relationship between set theory and the continuum hypothesis, fascinating for advanced students and professionals in mathematics.
  • Question: Who is the author of 'Set Theory and the Continuum Hypothesis'?

    Answer: The book is authored by Paul J. Cohen, a prominent mathematician recognized for his groundbreaking work in set theory. Cohen is especially known for his proof of the independence of the continuum hypothesis from Zermelo-Fraenkel set theory. His insights provide a rich understanding of complex topics, making this book invaluable for anyone who wishes to comprehend modern set theory.
  • Question: What is the continuum hypothesis?

    Answer: The continuum hypothesis posits that there is no set whose cardinality is strictly between that of the integers and the real numbers. This hypothesis is a cornerstone of modern set theory, and it questions the possibilities of different sizes of infinity. The book provides an in-depth analysis of this hypothesis, discussing its implications and the reasons behind its independence from standard set theories.
  • Question: Is 'Set Theory and the Continuum Hypothesis' suitable for beginners?

    Answer: While the book engages with fundamental concepts, it is primarily targeted at readers with a solid foundation in mathematical logic and set theory. Beginners may find some sections challenging as the text employs rigorous proofs and advanced terminology. However, it serves as an excellent subsequent read for those who have already grasped the basics of set theory and wish to deepen their understanding.
  • Question: What kind of illustrations does the book include?

    Answer: The illustrated edition offers various diagrams and figures that elucidate the complex concepts discussed within the text. These visuals are designed to complement the written explanations, helping readers visualize relationships between different sets, cardinalities, and the axioms of set theory. This feature significantly enhances comprehension, particularly for more visually-oriented learners.
  • Question: How does this book contribute to mathematical education?

    Answer: This book serves as a significant resource for both self-study and academic courses in set theory. Its detailed explanations of key concepts promote critical thinking and encourage readers to explore further implications within mathematics. As a result, it not only informs but also inspires students and professionals to engage in mathematical research and discussions.
  • Question: What are the key benefits of reading this book?

    Answer: Reading 'Set Theory and the Continuum Hypothesis' helps you understand the deeper philosophical implications of set theory and the nature of mathematical infinity. Engaging with Cohen's work can strengthen your analytical skills and provide you with robust frameworks for exploring theoretical problems in mathematics. It's especially beneficial for graduate students pursuing advanced studies in mathematical logic.
  • Question: Can this book help in preparation for mathematics-related exams?

    Answer: Yes, this book can be an excellent resource for students preparing for advanced mathematics exams, particularly those focusing on set theory and logic. Its rigorous approach and clear explanations of complex concepts confirm a solid understanding essential for tackling examination questions effectively. Additionally, working through the proofs presented can sharpen problem-solving skills useful in such contexts.
  • Question: What formats is 'Set Theory and the Continuum Hypothesis' available in?

    Answer: Typically, this title is available in paperback, hardcover, and sometimes as an e-book. The illustrated edition specifically enhances the reading experience, combining textual rigor with visual aids that clarify complex theories. Each format serves different preferences; for example, e-books are convenient for portability, while printed editions provide tangible resources for annotation and study.
  • Question: Where can I buy 'Set Theory and the Continuum Hypothesis Dover Books on Mathematics Illustrated Edition'?

    Answer: You can purchase 'Set Theory and the Continuum Hypothesis Dover Books on Mathematics Illustrated Edition' on Ubuy in Bhutan. Ubuy offers a simple and efficient platform for acquiring this book, ensuring a seamless buying experience and access to various payment options and supportive customer service.

Set Theory Editorial Review

**** "Set Theory and the Continuum Hypothesis" by Paul Cohen is a landmark work in the field of mathematics, often compared to significant scientific texts like Darwin's "On the Origin of Species." Cohen does not merely engage with complex ideas; he distills intricate concepts into a format that is both challenging and rewarding for educated readers with a genuine interest in mathematics. This illustrated edition, a reproduction of the book's first edition, features a minimalist typewritten design that may strike some as rustic, yet it complements the clarity of Cohen's Prose, making the subject matter accessible. Readers familiar with formal logic and mathematical notation will find the first segments informative, as Cohen succinctly introduces foundational elements of formal set theory—specifically Zermelo-Fraenkel set theory, which forms a bedrock for modern mathematics. After establishing this groundwork, Cohen navigates toward the heart of the book: the Continuum Hypothesis. His groundbreaking proof asserts that this longstanding problem in mathematics does not have a definitive solution, highlighting the limitations of formal systems to encapsulate all mathematical truths. Though this book is graduate-level, it manages to cater to a broader audience. Those who have enjoyed works by mathematicians and writers such as Ian Stewart, Douglas Hofstadter, or the late Martin Gardner will find Cohen's writing resonates with their experiences. The text's thorough exploration of cardinal numbers, infinite sets, and related concepts illustrates Cohen's intended communication that not only informs but invites curiosity into the infinite realms of mathematics. Overall, Cohen's "Set Theory and the Continuum Hypothesis" is a remarkable amalgamation of depth and readability that empowers readers to appreciate the profound complexities of mathematics. **

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Pros

  • Clear, accessible writing style for educated readers.
  • Thorough introduction to formal logic and set theory.
  • Insightful exploration of the Continuum Hypothesis and its implications.
  • Engages readers with a genuine interest in mathematics.
  • Suitable for both graduate students and interested laypersons.

Cons

  • Challenging for those without a foundational understanding of mathematics.

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Features & Benefits

  • Written by the man who discovered the solution to the continuum hypothesis
  • Accessible technical explanation of the landmark proof
  • Introduction to mathematical logic
  • Includes background material in logic and axiomatic set theory
  • Suitable for graduate and postgraduate students
  • Rich with hints and ideas for further work in mathematical logic

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