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  • © 1988

Topics in Number Theory

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Part of the book series: University Series in Mathematics (USMA)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiv
  2. Basic Properties of the Integers

    • J. S. Chahal
    Pages 1-15
  3. Algebraic Methods

    • J. S. Chahal
    Pages 17-32
  4. Representation of Integers by Forms

    • J. S. Chahal
    Pages 33-61
  5. Algebraic Number Fields

    • J. S. Chahal
    Pages 63-91
  6. Algebraic Curves

    • J. S. Chahal
    Pages 93-116
  7. The Mordell-Weil Theorem

    • J. S. Chahal
    Pages 117-126
  8. Computation of the Mordell-Weil Group

    • J. S. Chahal
    Pages 127-145
  9. Equations over Finite Fields

    • J. S. Chahal
    Pages 147-162
  10. Back Matter

    Pages 163-191

About this book

This book reproduces, with minor changes, the notes prepared for a course given at Brigham Young University during the academic year 1984-1985. It is intended to be an introduction to the theory of numbers. The audience consisted largely of undergraduate students with no more background than high school mathematics. The presentation was thus kept as elementary and self-contained as possible. However, because the discussion was, generally, carried far enough to introduce the audience to some areas of current research, the book should also be useful to graduate students. The only prerequisite to reading the book is an interest in and aptitude for mathe­ matics. Though the topics may seem unrelated, the study of diophantine equations has been our main goal. I am indebted to several mathematicians whose published as well as unpublished work has been freely used throughout this book. In particular, the Phillips Lectures at Haverford College given by Professor John T. Tate have been an important source of material for the book. Some parts of Chapter 5 on algebraic curves are, for example, based on these lectures.

Reviews

"The book can be recommended very much to everyone who is interested in topics of number theory which can be understood and lectured on without many prerequisites from algebra or calculus." -- MATHEMATICAL REVIEWS

Authors and Affiliations

  • Brigham Young University, Provo, USA

    J. S. Chahal

Bibliographic Information

  • Book Title: Topics in Number Theory

  • Authors: J. S. Chahal

  • Series Title: University Series in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4899-0439-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1988

  • Hardcover ISBN: 978-0-306-42866-1Published: 30 June 1988

  • Softcover ISBN: 978-1-4899-0441-6Published: 05 June 2013

  • eBook ISBN: 978-1-4899-0439-3Published: 11 November 2013

  • Edition Number: 1

  • Number of Pages: XIV, 191

  • Topics: Algebra

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 179.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access