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Elementary Number Theory in Nine Chapters

Elementary Number Theory in Nine Chapters

Elementary Number Theory in Nine Chapters

2nd Edition
James J. Tattersall, Providence College, Rhode Island
June 2005
Hardback
9780521850148

    This textbook is intended to serve as a one-semester introductory course in number theory and in this second edition it has been revised throughout and many new exercises have been added. Historical perspective is included and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.

    • In this new edition a wealth of exercises have been included to illustrate the properties of numbers and concepts developed in the text
    • The heart of this book contains the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler
    • A historical perspective has been adopted and some of the subject's applied aspects - in particular, the field of cryptography, has been highlighted

    Reviews & endorsements

    'In the second edition the author updated information on several conjectures and open problems, made certain corrections and added almost 400 new exercises.' Zentralblatt MATH

    See more reviews

    Product details

    June 2005
    Hardback
    9780521850148
    444 pages
    229 × 152 × 29 mm
    0.835kg
    20 tables 200 exercises
    Available

    Table of Contents

    • 1. The intriguing natural numbers
    • 2. Divisibility
    • 3. Prime numbers
    • 4. Perfect and amicable numbers
    • 5. Modular arithmetic
    • 6. Congruences of higher degree
    • 7. Cryptography
    • 8. Representations
    • 9. Partitions
    • Tables
    • Answers to selected exercises
    • Bibliography.
      Author
    • James J. Tattersall , Providence College, Rhode Island

      James Tattersall is a Professor of Mathematics at Providence College.