Introduction to Algebra
by Richard Rusczyk
Learn the basics of algebra from former USA Mathematical Olympiad winner and Art of Problem Solving founder Richard Rusczyk. Topics covered in the book include linear equations, ratios, quadratic equations, special factorizations, complex numbers, graphing linear and quadratic equations, linear and quadratic inequalities, functions, polynomials, exponents and logarithms, absolute value, sequences and series, and much more!
As you'll see in the excerpts below, the text is structured to inspire the reader to explore and develop new ideas. Each section starts with problems, giving the student a chance to solve them without help before proceeding. The text then includes solutions to these problems, through which algebraic techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text. In addition to the instructional material, the book contains well over 1000 problems. The solutions manual contains full solutions to all of the problems, not just answers.
This book can serve as a complete Algebra I course, and also includes many concepts covered in Algebra II. Middle school students preparing for MATHCOUNTS, high school students preparing for the AMC, and other students seeking to master the fundamentals of algebra will find this book an instrumental part of their mathematics libraries.
About the author: Richard Rusczyk is a co-author of Art of Problem Solving, Volumes 1 and 2, the author of Art of Problem Solving's Introduction to Geometry, and the founder of www.artofproblemsolving.com. He was a national MATHCOUNTS participant, a USA Math Olympiad winner, and is currently director of the USA Mathematical Talent Search.
ISBN: 978-1-934124-14-7
Text: 656 pages. Solutions: 312 pages.
Paperback. 10 7/8 x 8 3/8 x 1 3/16 inches.
Pricing Information
Discount Information: Additional 10% discount for orders of 5-9 copies of the same text; 20% discount for 10+ copies.
Excerpts
Table of Contents -
Excerpt 1 -
Excerpt 2 -
Excerpt 3 -
Index
Diagnostic Tests
- Pre-test: Students should be able to complete most or all of the pre-test before beginning this book.
- Post-test: Students who can comfortably solve most or all of the problems on the post-test will likely find this book to be mostly review.
Testimonials
"The most comprehensive algebra
book I've seen!"
- Jeff Boyd, coach of the 2005, 2007, and 2008 MATHCOUNTS National
Championship teams from Texas
"I just started chapter 13 in Intro to Algebra with my students today and they got totally excited over learning how to complete the square. I've never had that happen in the 9 years I've been teaching algebra.
They were so fascinated with how it worked and it was the easiest time I've ever had teaching it before. I'm glad I found your books."
- Rhonda Sobon, Madison Park Middle School, Arizona
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