Introduction to Number Theory (Text and Solution Manuals Art of Problem Solving)

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, simple Diophantine equations, 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. 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. About the author: Mathew Crawford is the founder and CEO of MIST Academy, a school for gifted students, in Birmingham, Alabama. Crawford was a perfect scorer at the national MATHCOUNTS competition in 1990, and a member of the national championship team (Alabama) in 1991. He was a 3-time invitee to the Math Olympiad Summer Program, a perfect scorer on the AIME, and a 2-time USA Math Olympiad honorable mention. ISBN: 978-0-9773045-4-7 Text: 336 pages. Solutions: 144 pages. Paperback. 10 7/8 x 8 3/8 x 5/8 inches.