The Queen of Mathematics : An Introduction to Number Theory

W. S. Anglin

ISBN 10: 9401041261 / ISBN 13: 9789401041263

Published by Springer Netherlands, Springer Netherlands, 2011

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9789401041263

Bibliographic Details

• Title: The Queen of Mathematics : An Introduction to Number Theory
• Publisher: Springer Netherlands, Springer Netherlands
• Publication Date: 2011
• Language: English
• ISBN 10: 9401041261
• ISBN 13: 9789401041263
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 240W x 160H x 22D millimeters 240 millimeters width by 160 millimeters height by 22 millimeters depth
• Weight: 643 grams

About this title

Synopsis

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.