How to Master Intermediate Algebra with Art of Problem Solving
If you are looking for a comprehensive textbook that covers Algebra 2 and topics in Precalculus, you might want to check out Intermediate Algebra: Art of Problem Solving by Richard Rusczyk and Mathew Crawford. This book is the follow-up to the acclaimed Introduction to Algebra textbook, and it offers more than just standard curriculum. It also includes advanced topics such as those problem solving strategies required for success on the AMC and AIME competitions.
In this article, we will give you an overview of what this book covers, how it is structured, and where you can find it online. We will also share some tips on how to use this book effectively to improve your algebra skills and prepare for math contests.
What Does Intermediate Algebra: Art of Problem Solving Cover
This book covers a wide range of topics in intermediate algebra, such as:
Basic techniques for solving equations
Quadratics and conic sections
Polynomial division and roots
Factoring multivariable polynomials
Sequences and series
Identities, manipulations, and induction
Exponents and logarithms
Special classes of functions
Piecewise defined functions
Each chapter contains a review of basic concepts, followed by problems that challenge the reader to apply them in new ways. The book also contains over 1600 problems, ranging from routine exercises to contest-level questions. The solutions manual contains full solutions to all of the problems, not just answers.
How Is Intermediate Algebra: Art of Problem Solving Structured
The book 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 solutions to these problems, through which new techniques are taught. Important facts and powerful problem solving approaches are highlighted throughout the text.
The book also encourages the reader to think creatively and critically about algebra. It presents multiple methods for solving the same problem, compares different approaches, and asks the reader to justify their reasoning. It also introduces topics that are not usually covered in standard textbooks, such as functional equations, nested sums and products, AM-GM inequality, Cauchy-Schwarz inequality, and more.
Where Can You Find Intermediate Algebra: Art of Problem Solving Online
You can find this book online at the Art of Problem Solving website[^1^], where you can buy it as a paperback or an online book. The online book connects the classic text to the thriving online community of problem solvers from around the world. You can access interactive features such as videos, forums, hints, feedback, and more.
You can also find this book online at other websites that offer PDF downloads[^2^] [^3^] [^4^], but be aware that these may not be authorized or updated versions. We recommend that you buy the book from the official source to support the authors and get the best quality.
How to Use Intermediate Algebra: Art of Problem Solving Effectively
To get the most out of this book, you should follow these tips:
Read the text carefully and try to understand the explanations and examples.
Solve as many problems as you can from each section. Don't skip any problems or look at the solutions before trying them yourself.
Review your solutions and compare them with the ones in the book. Learn from your mistakes and try to improve your methods.
If you get stuck on a problem, don't give up. Use hints or ask for help from other students or teachers online or offline.
Challenge yourself with harder problems from other sources, such as past AMC or AIME exams.