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Comprehensive College Algebra: Building Mathematical Insights Through Logic and ExercisesGe Mu and Xiang Ji

Comprehensive College Algebra

Building Mathematical Insights Through Logic and Exercises (First Edition)
By Xiang Ji and Ge Mu

Perforated Paperback ISBN: 978-1-62131-010-5, 404 pages


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
  • 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.

    Comprehensive College Algebra is written for college algebra courses, but can also be used for high school classes. It serves best under instructions. Familiarity with integers and decimals, as well as their operations, is needed to use the book effectively.

    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.