Professors of Mathematics, Los
We are pleased to offer three textbooks in a free open source format, through the auspices of the American Institute of Mathematics Open Textbook Initiative. (You can see their list of approved open source textbooks.)
Printed versions of these books are available at Lulu:
Core Mathematics for College Students
This text is intended for students who need a refresher of basic mathematical ideas and elementary algebraic skills.
It can be used in a prealgebra course or a foundation course for non-STEM majors. It is designed as a worktext, and emphasizes understanding of concepts.
Table of Contents
- Preliminary Ideas
Halves and Quarters, Tenths and Hundredths, Whole Numbers, Angles and Triangles, Perimeter and Area
- Numbers and Variables
Decimal Numbers, More Fractions and Percents, Variables, Algebraic Expressions, Equations
Volume and Surface Area, Exponents, Units of Measure, Circles and Spheres, Large Numbers
Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Order of Operations, Roots and Radicals, Negative Numbers
- Using Variables
Working with Variables, More Algebraic Expressions, Problem Solving, More Equations, Graphs
- Signed Numbers
Addition of Signed Numbers, Subtraction of Signed Numbers, Multiplication and Division of Signed Numbers, Working with Signed Numbers, Equations and Graphs
- Core Concepts
Ratio, Proportion, Similarity, Slope, More About Similarity
This book is also available in four modules: Numbers, Measurement, Fractions, Signed Numbers, and Variables
Kathy Yoshiwara was born in Derby in the UK and grew up in Richmond, Virginia. She attended Michigan State University, where she studied Greek and mathematics. She did graduate work at UCLA and earned an MA in mathematics in 1977. She left UCLA in 1979 to join the faculty at Pierce College, where she taught for 33 years, retiring in 2013. In the 1998-1999 academic year she taught at Barnsley College in Yorkshire, England on a Fulbright teaching exchange. In 1996 she received the Award for Distinguished College or University Teaching of Mathematics from the Southern California Section of the MAA. In November 2003, she won the Teaching Excellence Award for the Western Region from the American Mathematical Association of Two-Year Colleges (AMATYC). She is married to Bruce Yoshiwara and benefits from his expertise in all things mathematical.
Yoshiwara earned his PhD in mathematics at UCLA in 1988.
He received the 2008 Award for Distinguished College or
University Teaching of Mathematics from the Southern
California-Nevada Section of the MAA, a 2009 Teaching
Excellence Award from AMATYC, and a 2011 Hayward Award for
Excellence in Education from the Board of Governors of the
California Community Colleges. He is co-author (his wife
Katherine is principal author) of several math textbooks.