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The Queen of Mathematics

An Introduction to Number Theory

  • Book
  • © 1995

Overview

Authors:
  1. W. S. Anglin

    1. Department of Mathematics and Statistics, McGill University, Montreal, Canada

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Part of the book series: Texts in the Mathematical Sciences (TMS, volume 8)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-x
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  2. Propaedeutics

    • W. S. Anglin
    Pages 1-53

  3. Simple Continued Fractions

    • W. S. Anglin
    Pages 55-102

  4. Congruence

    • W. S. Anglin
    Pages 103-149

  5. x2 − Ry2 = C

    • W. S. Anglin
    Pages 151-185

  6. Classical Construction Problems

    • W. S. Anglin
    Pages 187-226

  7. The Polygonal Number Theorem

    • W. S. Anglin
    Pages 227-275

  8. Analytic Number Theory

    • W. S. Anglin
    Pages 277-361

  9. Back Matter

    Pages 363-390
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Keywords

About this book

Like other introductions to number theory, this one includes the usual curtsy to divisibility theory, the bow to congruence, and the little chat with quadratic reciprocity. It also includes proofs of results such as Lagrange's Four Square Theorem, the theorem behind Lucas's test for perfect numbers, the theorem that a regular n-gon is constructible just in case phi(n) is a power of 2, the fact that the circle cannot be squared, Dirichlet's theorem on primes in arithmetic progressions, the Prime Number Theorem, and Rademacher's partition theorem.
We have made the proofs of these theorems as elementary as possible.
Unique to The Queen of Mathematics are its presentations of the topic of palindromic simple continued fractions, an elementary solution of Lucas's square pyramid problem, Baker's solution for simultaneous Fermat equations, an elementary proof of Fermat's polygonal number conjecture, and the Lambek-Moser-Wild theorem.

Authors and Affiliations

  • Department of Mathematics and Statistics, McGill University, Montreal, Canada

    W. S. Anglin

Bibliographic Information

  • Book Title: The Queen of Mathematics

  • Book Subtitle: An Introduction to Number Theory

  • Authors: W. S. Anglin

  • Series Title: Texts in the Mathematical Sciences

  • DOI: https://doi.org/10.1007/978-94-011-0285-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1995

  • Hardcover ISBN: 978-0-7923-3287-9Published: 31 January 1995

  • Softcover ISBN: 978-94-010-4126-3Published: 21 December 2011

  • eBook ISBN: 978-94-011-0285-8Published: 06 December 2012

  • Series ISSN: 0927-4529

  • Edition Number: 1

  • Number of Pages: X, 390

  • Topics: Number Theory, Geometry

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