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A Pathway Into Number Theory

A Pathway Into Number Theory

2nd Edition

£49.99

textbook
  • Date Published: November 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521575409

£ 49.99
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  • Number theory is concerned with the properties of the natural numbers: 1, 2, 3 … During the seventeenth and eighteenth centuries, number theory became established through the work of Fermat, Euler and Gauss. With the hand calculators and computers of today the results of extensive numerical work are instantly available and the road leading to their discoveries may be traversed with comparative care. Now in its second edition, this book consists of a sequence of exercises that will lead readers from quite simple number work to the point where they can prove algebraically the classical results of elementary number theory for themselves. A modern secondary school course in mathematics is sufficient background for the whole book which is designed to be used as an undergraduate course in number theory to be pursued by independent study without supporting lectures.

    • Uses millions of exercises
    • New and updated material on coding, triangular numbers and Gaussian integers
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    Reviews & endorsements

    'I'm pleased to report there is a new edition of R. Burn's A Pathway into Number Theory, a book that takes readers quickly and painlessly from simple facts about whole numbers to the wonders of the quadratic forms, Pell's equation and Minkowski's theorem.' Ian Stewart, New Scientist

    '… admirably suitable for those meeting number theory for the first time and for unsupported individual study.' Nick Lord, The Mathematical Gazette

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    Product details

    • Edition: 2nd Edition
    • Date Published: November 1996
    • format: Paperback
    • isbn: 9780521575409
    • length: 280 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.4kg
    • availability: Available
  • Table of Contents

    Preface to the second edition
    Introduction
    1. The fundamental theorem of arithmetic
    2. Modular addition and Euler's Phi function
    3. Modular multiplication
    4. Quadratic residues
    5. The equation xn+yn=zn, for n=2, 3, 4
    6. Sums of squares
    7. Partitions
    8. Quadratic forms
    9. Geometry of numbers
    10. Continued fractions
    11. Approximation of irrationals by rationals
    bibliography
    Index.

  • Author

    R. P. Burn

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