Revised and updated by John J. Watkins and Robin Wilson
Softcover ISBN:  9781470447984 
Product Code:  NML/51 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470448332 
Product Code:  NML/51.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470447984 
eBook: ISBN:  9781470448332 
Product Code:  NML/51.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 
Revised and updated by John J. Watkins and Robin Wilson
Softcover ISBN:  9781470447984 
Product Code:  NML/51 
List Price:  $65.00 
MAA Member Price:  $48.75 
AMS Member Price:  $48.75 
eBook ISBN:  9781470448332 
Product Code:  NML/51.E 
List Price:  $50.00 
MAA Member Price:  $37.50 
AMS Member Price:  $37.50 
Softcover ISBN:  9781470447984 
eBook ISBN:  9781470448332 
Product Code:  NML/51.B 
List Price:  $115.00 $90.00 
MAA Member Price:  $86.25 $67.50 
AMS Member Price:  $86.25 $67.50 

Book DetailsAnneli Lax New Mathematical LibraryVolume: 51; 2018; 134 pp
Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, ... and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more.
In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.

Table of Contents

Chapters

Chapter 1. Introduction

Chapter 2. Primes

Chapter 3. Divisors of Numbers

Chapter 4. Divisors and Multiples

Chapter 5. The Pythagorean Theorem

Chapter 6. Number Systems

Chapter 7. Congruences

Chapter 8. Applying Congruences

Chapter 9. Cryptography

Chapter 10. Solutions to Selected Problems


Additional Material

Reviews

[I]t is full of interesting things and is worth showing to bright students.
Allen Stenger, MAA Reviews


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Number theory is the branch of mathematics concerned with the counting numbers, 1, 2, 3, ... and their multiples and factors. Of particular importance are odd and even numbers, squares and cubes, and prime numbers. But in spite of their simplicity, you will meet a multitude of topics in this book: magic squares, cryptarithms, finding the day of the week for a given date, constructing regular polygons, pythagorean triples, and many more.
In this revised edition, John Watkins and Robin Wilson have updated the text to bring it in line with contemporary developments. They have added new material on Fermat's Last Theorem, the role of computers in number theory, and the use of number theory in cryptography, and have made numerous minor changes in the presentation and layout of the text and the exercises.

Chapters

Chapter 1. Introduction

Chapter 2. Primes

Chapter 3. Divisors of Numbers

Chapter 4. Divisors and Multiples

Chapter 5. The Pythagorean Theorem

Chapter 6. Number Systems

Chapter 7. Congruences

Chapter 8. Applying Congruences

Chapter 9. Cryptography

Chapter 10. Solutions to Selected Problems

[I]t is full of interesting things and is worth showing to bright students.
Allen Stenger, MAA Reviews