"Comprehensive College Algebra: Building Mathematical Insights Through Logic and Exercises" is a concise, but rigorous, introduction to college algebra that features a variety of exercises designed to help students build up mathematical thinking, master mathematical skills, and develop mathematical insights.
The book begins with an introduction of sets and the number systems. This foundational knowledge prepares students for the subsequent chapters, and skill development in areas including: Polynomials; Factoring; Linear Equations and Inequalities; Rational Expressions; Coordinate Systems and Lines; Radicals; Quadratic Equations; Conic Sections; and Exponential and Logarithmic Functions.
All chapters emphasize clear definitions, which are presented in context, as well as propositions and theorems. Comprehensive review questions are included at the end of the book to allow for independent practice.
Xiang Ji earned his B.S. in computer science at Nanjing University, in Nanjing China. He is a Ph.D. candidate in the Department of Mathematics at the Pennsylvania State University, where he also serves as a Graduate Teaching Associate. His areas of research include mathematical physics, symplectic geometry, and Poisson geometry.
Ge Mu is an instructor of mathematics at the Pennsylvania State University, where she has taught courses in intermediate algebra, college algebra, finite math, trigonometry, and calculus. She earned her M.A. in mathematics with a concentration in partial differential equations. Ge Mu is the organizer of the 2012-2013 Strongland Interscholastic Math League, and the 2010 recipient of the Mathematics Department Teaching Award. She is also the author of "Being an Undergraduate in the U.S.," originally published in Chinese.