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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£80.74

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RRP £84.99 – you save £4.25 (5%)

Order before 4pm tomorrow for delivery by Sat 10 Jan 2026.

A Hardback by Steven G. Krantz

1 in stock


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

    Publisher: Taylor & Francis Ltd
    Publication Date: 6/21/2022 12:00:00 AM
    ISBN13: 9781032102757, 978-1032102757
    ISBN10: 1032102756

    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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