Introduction to Number Theory Art of Problem Solving 2nd Edition by Mathew Crawford ISBN 1934124125 978-1934124123

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Product details:

ISBN 10: 1934124125

ISBN 13: 978-1934124123 

Author: Mathew Crawford 

 

Learn the fundamentals of number theory from former MATHCOUNTS, AHSME, and AIME perfect scorer Mathew Crawford. Topics covered in the book include primes & composites, multiples & divisors, prime factorization and its uses, base numbers, modular arithmetic, divisibility rules, linear congruences, how to develop number sense, and much more.

The text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, so the student has a chance to solve them without help before proceeding. The text then includes motivated solutions to these problems, through which concepts and curriculum of number theory are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains hundreds of problems. The solutions manual contains full solutions to nearly every problem, not just the answers.

This book is ideal for students who have mastered basic algebra, such as solving linear equations. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of number theory will find this book an instrumental part of their mathematics libraries.This book is used in our Introduction to Number Theory course.

Table of contents:

1 Integers: The Basics
2 Primes and Composites
3 Multiples and Divisors
4 Prime Factorization
5 Divisor Problems
6 Special Numbers
7 Algebra With Integers
8 Base Numbers
9 Base Number Arithmetic
10 Units Digits
11 Decimals and Fractions
12 Introduction to Modular Arithmetic
13 Divisibility Rules
14 Linear Congruences
15 Number Sense

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Tags: Mathew Crawford, Introduction, Number Theory, Art of Problem Solving