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The Queen of Mathematics

An Introduction to Number Theory

  • W. S. Anglin
Book

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

Table of contents

  1. Front Matter
    Pages i-x
  2. W. S. Anglin
    Pages 1-53
  3. W. S. Anglin
    Pages 55-102
  4. W. S. Anglin
    Pages 103-149
  5. W. S. Anglin
    Pages 151-185
  6. W. S. Anglin
    Pages 187-226
  7. W. S. Anglin
    Pages 227-275
  8. W. S. Anglin
    Pages 277-361
  9. Back Matter
    Pages 363-390

About this book

Introduction

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.

Keywords

Congruence Prime Prime number number theory polygon

Authors and affiliations

  • W. S. Anglin
    • 1
  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-011-0285-8
  • Copyright Information Kluwer Academic Publishers 1995
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-4126-3
  • Online ISBN 978-94-011-0285-8
  • Series Print ISSN 0927-4529
  • Buy this book on publisher's site