Description

Book Synopsis

This book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions, the author continues to find ways to modernize and maintain a unique presentation.

What sets the book apart is the excellent writing style, exposition, and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.

As would be expected in a fifth edition, the overall content and structure of the book are sound.

This new edition offers a more organized treatment of axiomatics. Throughout the book, there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated.


Additional new features include:

  • An emphasis on the art

    Trade Review
    The great strength of the book overall and of the chapters I read is a very accessible writing style, and extremely good exercises. The mix of discussion of advanced topics alongside the presentation of more elementary material is excellent. This is a product of having a highly accomplished and knowledgeable mathematician writing a textbook intended for not-so-advanced students.--David Walnut, George Washington University

    Table of Contents

    1. Basic Logic 2. Methods of Proof 3. Set Theory 4. Relations and Functions 5. Group Theory 6. Number Systems 7. More on the Real Number System 8. A Glimpse of Topology 9. Elementary Number Theory 10. Zero-Knowledge Proofs and Cryptography
    11. An Example of an Axiomatic Theory

The Elements of Advanced Mathematics

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    £84.99

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    Order before 4pm tomorrow for delivery by Wed 26 Aug 2026.

    A Hardback by Steven G. Krantz

    15 in stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of The Elements of Advanced Mathematics by Steven G. Krantz

      Publisher: Taylor & Francis Ltd
      Publication Date: Publication Date: 6/21/2022 12:00:00 AM
      ISBN13: 9781032102757, 978-1032102757
      ISBN10: 1032102756
      Also in:
      Discrete mathematics Mathematical logic

      Description

      Book Synopsis

      This book has enjoyed considerable use and appreciation during its first four editions. With hundreds of students having learned out of early editions, the author continues to find ways to modernize and maintain a unique presentation.

      What sets the book apart is the excellent writing style, exposition, and unique and thorough sets of exercises. This edition offers a more instructive preface to assist instructors on developing the course they prefer. The prerequisites are more explicit and provide a roadmap for the course. Sample syllabi are included.

      As would be expected in a fifth edition, the overall content and structure of the book are sound.

      This new edition offers a more organized treatment of axiomatics. Throughout the book, there is a more careful and detailed treatment of the axioms of set theory. The rules of inference are more carefully elucidated.


      Additional new features include:

      • An emphasis on the art

        Trade Review
        The great strength of the book overall and of the chapters I read is a very accessible writing style, and extremely good exercises. The mix of discussion of advanced topics alongside the presentation of more elementary material is excellent. This is a product of having a highly accomplished and knowledgeable mathematician writing a textbook intended for not-so-advanced students.--David Walnut, George Washington University

        Table of Contents

        1. Basic Logic 2. Methods of Proof 3. Set Theory 4. Relations and Functions 5. Group Theory 6. Number Systems 7. More on the Real Number System 8. A Glimpse of Topology 9. Elementary Number Theory 10. Zero-Knowledge Proofs and Cryptography
        11. An Example of an Axiomatic Theory

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