The Queen of Mathematics: An Introduction to Number Theory by W.S. AnglinThe Queen of Mathematics: An Introduction to Number Theory by W.S. Anglin

The Queen of Mathematics: An Introduction to Number Theory

byW.S. Anglin

Paperback | December 21, 2011

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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 regularn-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 toThe Queen of Mathematicsare 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.
Title:The Queen of Mathematics: An Introduction to Number TheoryFormat:PaperbackDimensions:390 pages, 24 × 16 × 0.02 inPublished:December 21, 2011Publisher:Springer-Verlag/Sci-Tech/TradeLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9401041261

ISBN - 13:9789401041263


Table of Contents

Preface. 1. Propaedeutics. 2. Simple Continued Fractions. 3. Congruence. 4. x2--Ry2 = C. 5. Classical Construction Problems. 6. The Polygonal Number Theorem. 7. Analytic Number Theory. Bibliography. A Appendix: Answers to Selected Exercises. Index.