Number Theory Through Inquiry

ISBN-10: 0883857510
ISBN-13: 9780883857519
Edition: 2007
List price: $51.00 Buy it from $37.88
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Description: This textbook leads students on a carefully-guided discovery of introductory number theory. The book has two main goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to  More...

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Book details

List price: $51.00
Copyright year: 2007
Publisher: Mathematical Association of America
Binding: Hardcover
Pages: 150
Size: 6.00" wide x 9.00" long x 0.50" tall
Weight: 0.968
Language: English

This textbook leads students on a carefully-guided discovery of introductory number theory. The book has two main goals. The first is to help students develop mathematical thinking skills, particularly theorem-proving skills. The other goal is to help students understand some of the ideas in the mathematical study of numbers.

Introduction
Divide and conquer
Prime time
A modular world
Fermat's Little theorem and Euler's theorem
Public key cryptography
Polynomial congruences and primitive roots
The golden rule: quadratic reciprocity
Pythagorean triples, sums of squares, and Fermat's Last Theorem
Rationals close to irrationals and the Pell equation
The search for primes
Mathematical induction: the domino effect
Index

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