Mastering Algebra

This easy-to-read, unique, 2nd edition takes a different approach to learning algebra: instead of just practicing the rules of algebra, this book explains the "why" of the rules. In it, you will discover the blueprint to algebra through an examination of its axioms. Whether you're a high school student struggling to understand Algebra II (this book is not recommended for students who have not completed a course in Algebra I and geometry); a college student preparing to take a course in abstract algebra or analysis; a layperson who would like to understand what algebra is about without having to perform reams of practice problems; or an educator looking for ways to better help your students, this book was designed to clearly explain the rationale behind algebra. Reading this book, you will (1) acquire a deep understanding of algebra without performing page after page of practice problems; (2) learn what proofs are, how they relate to the axioms and how to use them; (3) acquire the skills to confidently tackle more advanced courses in mathematics; (4) gain a deep appreciation for how mathematicians perceive mathematics and the difficulties they encounter; (5) bolster your powers of critical thinking.
This second eddition includes almost 40% more material than the first, covering topics about logarithms, solving equations and inequalities, functions, and complex numbers. There are many more pages of practice problems along with their solutions.