**Anneli Lax New Mathematical Library**

Volume: 49;
2017;
134 pp;
Softcover

Print ISBN: 978-0-88385-653-6

Product Code: NML/49

List Price: $48.00

AMS Member Price: $36.00

MAA Member Price: $36.00

**Electronic ISBN: 978-1-4704-4403-7
Product Code: NML/49.E**

List Price: $48.00

AMS Member Price: $36.00

MAA Member Price: $36.00

# Invitation to Number Theory: Second Edition

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*Oystein Ore*

Revised and updated by John J. Watkins and Robin Wilson

MAA Press: An Imprint of the American Mathematical Society

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.

#### Reviews & Endorsements

[I]t is full of interesting things and is worth showing to bright students.

-- Allen Stenger, MAA Reviews

# Table of Contents

## Invitation to Number Theory: Second Edition

- Cover Cover11
- Preface to the Revised Edition vii8
- Introduction 114
- Primes 1528
- Divisors of Numbers 2538
- Divisors and Multiples 3548
- The Pythagorean Theorem 4356
- Number Systems 5770
- Congruences 7386
- Applying Congruences 87100
- Cryptography 101114
- Solutions to Selected Problems 115128
- References 129142
- Index 129142
- Back Cover Back Cover1148