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An Open Door to Number Theory
 
Duff Campbell Hendrix College, Conway, AR
An Open Door to Number Theory
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-1-4704-4348-1
Product Code:  TEXT/39
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
eBook ISBN:  978-1-4704-4684-0
Product Code:  TEXT/39.E
List Price: $69.00
MAA Member Price: $51.75
AMS Member Price: $51.75
Hardcover ISBN:  978-1-4704-4348-1
eBook: ISBN:  978-1-4704-4684-0
Product Code:  TEXT/39.B
List Price: $144.00 $109.50
MAA Member Price: $108.00 $82.13
AMS Member Price: $108.00 $82.13
An Open Door to Number Theory
Click above image for expanded view
An Open Door to Number Theory
Duff Campbell Hendrix College, Conway, AR
MAA Press: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-1-4704-4348-1
Product Code:  TEXT/39
List Price: $75.00
MAA Member Price: $56.25
AMS Member Price: $56.25
eBook ISBN:  978-1-4704-4684-0
Product Code:  TEXT/39.E
List Price: $69.00
MAA Member Price: $51.75
AMS Member Price: $51.75
Hardcover ISBN:  978-1-4704-4348-1
eBook ISBN:  978-1-4704-4684-0
Product Code:  TEXT/39.B
List Price: $144.00 $109.50
MAA Member Price: $108.00 $82.13
AMS Member Price: $108.00 $82.13
  • Book Details
     
     
    AMS/MAA Textbooks
    Volume: 392018; 283 pp
    MSC: Primary 11

    A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by this text for a second-semester course focusing on algebraic 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, including Bernoulli numbers and polynomials, geometric approaches to number theory, the \(p\)-adic numbers, quadratic extensions of the integers, and arithmetic generating functions.

    Ancillaries:

  • Table of Contents
     
     
    • Chapters
    • Chapter 1. The integers, $\mathbb {Z}$
    • Chapter 2. Modular arithmetic in $\mathbb {Z}/m\mathbb {Z}$
    • Chapter 3. Quadratic extensions of the integers, $\mathbb {Z}[\sqrt {d}]$
    • Chapter 4. An interlude of analytic number theory
    • Chapter 5. Quadratic residues
    • Chapter 6. Further topics
    • Appendix A. Tables
    • Appendix B. Projects
  • Reviews
     
     
    • [The book] weaves a path through various interesting topics and shows how they are connected and can be extended.

      Allen Stenger, MAA Reviews
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
    Examination Copy – for faculty considering an AMS textbook for a course
    Accessibility – to request an alternate format of an AMS title
Volume: 392018; 283 pp
MSC: Primary 11

A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by this text for a second-semester course focusing on algebraic 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, including Bernoulli numbers and polynomials, geometric approaches to number theory, the \(p\)-adic numbers, quadratic extensions of the integers, and arithmetic generating functions.

Ancillaries:

  • Chapters
  • Chapter 1. The integers, $\mathbb {Z}$
  • Chapter 2. Modular arithmetic in $\mathbb {Z}/m\mathbb {Z}$
  • Chapter 3. Quadratic extensions of the integers, $\mathbb {Z}[\sqrt {d}]$
  • Chapter 4. An interlude of analytic number theory
  • Chapter 5. Quadratic residues
  • Chapter 6. Further topics
  • Appendix A. Tables
  • Appendix B. Projects
  • [The book] weaves a path through various interesting topics and shows how they are connected and can be extended.

    Allen Stenger, MAA Reviews
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
Examination Copy – for faculty considering an AMS textbook for a course
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.