Textbooks by Katherine and Bruce Yoshiwara

Professors of Mathematics, Los Angeles Pierce College, Retired
e-mail:  kyoshiwara (at) hotmail.com
             byoshiwara (at) hotmail.com

Textbooks Available Through AIM

We are pleased to offer four 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.)

To go directly to the online text, click on its title below. There you can see the expanded table of contents and read more about the text in the Preface.

Modeling, Functions, and Graphs

cover of MFG    This text covers the content of a college algebra course with an emphasis on modeling and applications. When combined with Trigonometry, it can be used in a Precalculus course.

Table of Contents

  1. Functions and Their Graphs
  2. Modeling with Functions
  3. Power Functions
  4. Exponential Functions
  5. Logarithmic Functions
  6. Quadratic Functions
  7. Polynomials and Rational Functions
  8. Linear Systems
  9. Sequences and Series
  10. Appendices
    1. Algebra Skills Refresher
    2. Using a Graphing Calculator
    3. Using a GeoGebra Calculator App
    4. Glossary
    5. Properties of Numbers
    6. Geometry Formulas
    7. Answers to Selected Exercises

Trigonometry

cover of Trig   This text covers the content of a standard trigonometry course, beginning with a review of facts from geometry. 

Table of Contents

  1. Triangles and Circles
  2. Trigonometric Ratios
  3. Laws of Sines and Cosines
  4. Trigonometric Functions
  5. Equations and Identities
  6. Radians
  7. Circular Functions
  8. More Functions and Identities
  9. Vectors
  10. Polar Coordinates and Complex Numbers

Elementary Algebra

cover of Algebra   This text introduces the basic skills and ideas of algebra. 


Table of Contents

  1. Variables
  2. Linear Equations
  3. Graphs and Linear Equations
  4. Applications of Linear Equations
  5. Exponents and Roots
  6. Quadratic Equations
  7. Polynomials
  8. Algebraic Fractions
  9. More About Exponents and Roots

Printed versions of these books are available at Lulu:

Intermediate Algebra

cover of Intermediate Algebra   Like Modeling, Functions, and Graphs, this text emphasizes modeling and applications, but focuses more on algebraic skills and less on functions.

Table of Contents

  1. Linear Models
  2. Applications of Linear Models
  3. Quadratic Models
  4. Applications of Quadratic Models
  5. Functions and Their Graphs
  6. Powers and Roots
  7. Exponential Functions
  8. Polynomials and Rational Functions
  9. Equations and Graphs
  10. Logarithmic Functions

Textbooks Available Through Pat McKeague's xyztextbooks  

Textbooks 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

  1. Preliminary Ideas
    Halves and Quarters, Tenths and Hundredths, Whole Numbers, Angles and Triangles, Perimeter and Area
  2. Numbers and Variables
    Decimal Numbers, More Fractions and Percents, Variables, Algebraic Expressions, Equations
  3. Measurement
    Volume and Surface Area, Exponents, Units of Measure, Circles and Spheres, Large Numbers
  4. Calculation
    Adding and Subtracting Fractions, Multiplying and Dividing Fractions, Order of Operations, Roots and Radicals, Negative Numbers
  5. Using Variables
    Working with Variables, More Algebraic Expressions, Problem Solving, More Equations, Graphs
  6. Signed Numbers
    Addition of Signed Numbers, Subtraction of Signed Numbers, Multiplication and Division of Signed Numbers, Working with Signed Numbers, Equations and Graphs
  7. Core Concepts
    Ratio, Proportion, Similarity, Slope, More About Similarity

            This book is also available in five modules:  Numbers, Measurement, Fractions, Signed Numbers, and Variables

A Brief Biography

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.

Bruce 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.