The solutions manual to Introduction to Number Theory contains full solutions to nearly every problem, not just the answers.

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. 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.

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. He is a former instructor and curriculum developer for the Art of Problem Solving online school. He is co-author of Art of Problem Solving's Intermediate Algebra textbook, and served on the Board of Directors of the Art of Problem Solving Foundation. 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.