Description

Book Synopsis
A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The approach throughout is geometric and intuitive; there are over 400 carefully designed exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics not usually covered in a first-semester course.

Table of Contents
  • The integers, $\mathbb{Z}$
  • Modular arithmetic in $\mathbb{Z}/m\mathbb{Z}$
  • Quadratic extensions of the integers, $\mathbb{Z}[\sqrt{d}]$
  • An interlude of analytic number theory
  • Quadratic residues
  • Further topics
  • Appendix A: Tables
  • Appendix B: Projects
  • Bibliography
  • Index.

    An Open Door to Number Theory

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      A Hardback by Duff Campbell

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        Publisher: MP-AMM American Mathematical
        Publication Date: Publication Date: 5/30/2018 12:00:00 AM
        ISBN13: 9781470443481, 978-1470443481
        ISBN10: 1470443481

        Description

        Book Synopsis
        A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The approach throughout is geometric and intuitive; there are over 400 carefully designed exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics not usually covered in a first-semester course.

        Table of Contents
        • The integers, $\mathbb{Z}$
        • Modular arithmetic in $\mathbb{Z}/m\mathbb{Z}$
        • Quadratic extensions of the integers, $\mathbb{Z}[\sqrt{d}]$
        • An interlude of analytic number theory
        • Quadratic residues
        • Further topics
        • Appendix A: Tables
        • Appendix B: Projects
        • Bibliography
        • Index.

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