Hardcover ISBN:  9781470443481 
Product Code:  TEXT/39 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
eBook ISBN:  9781470446840 
Product Code:  TEXT/39.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9781470443481 
eBook: ISBN:  9781470446840 
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 
Hardcover ISBN:  9781470443481 
Product Code:  TEXT/39 
List Price:  $75.00 
MAA Member Price:  $56.25 
AMS Member Price:  $56.25 
eBook ISBN:  9781470446840 
Product Code:  TEXT/39.E 
List Price:  $69.00 
MAA Member Price:  $51.75 
AMS Member Price:  $51.75 
Hardcover ISBN:  9781470443481 
eBook ISBN:  9781470446840 
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 DetailsAMS/MAA TextbooksVolume: 39; 2018; 283 ppMSC: Primary 11
A wellwritten, inviting textbook designed for a onesemester, juniorlevel 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 secondsemester 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 firstsemester 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


Additional Material

Reviews

[The book] weaves a path through various interesting topics and shows how they are connected and can be extended.
Allen Stenger, MAA Reviews


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A wellwritten, inviting textbook designed for a onesemester, juniorlevel 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 secondsemester 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 firstsemester 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