Fundamentals of Mathematics

(4 reviews)


Denny Burzynski, College of Southern Nevada
Wade Ellis, West Valley Community College

Pub Date:

ISBN 13:

Publisher: OpenStax CNX

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Reviewed by Bill OConnell, Part time faculty, Portland Community College, on 1/8/2016.

This text does not contain a glossary of terms. The index system is composed of two parts. One part operates as an index would. The other refers to … read more



Reviewed by Amy Gaudia, Instructor, Lane Community College, on 8/22/2016.

This text covers all the areas that I expected to find in a fundamentals text. It begins with addition and subtraction of whole numbers and … read more



Reviewed by Richard Barasch, Adjunct Professor, Portland Community College, on 8/22/2016.

This text covers most of the areas that I teach. It has a good table of contents and index, but no glossary.… read more



Reviewed by Esther Loanzon, Department Chair, Portland Community College, on 8/22/2016.

Book was very comprehensive and covered most topics for basic mathematics. Book title could have included a one line or two liner about who the book … read more


Table of Contents

  • Chapter 1. Addition and Subtraction of Whole Numbers
  • Chapter 2. Multiplication and Division of Whole Numbers
  • Chapter 3. Exponents, Roots, and Factorization of Whole Numbers
  • Chapter 4. Introduction to Fractions and Multiplication and Division of Fractions
  • Chapter 5. Addition and Subtraction of Fractions, Comparing Fractions, and Complex Fractions
  • Chapter 6. Decimals
  • Chapter 7. Ratios and Rates
  • Chapter 8. Techniques of Estimation
  • Chapter 9. Measurement and Geometry
  • Chapter 10. Signed Numbers
  • Chapter 11. Algebraic Expressions and Equations

About the Book

Fundamentals of Mathematics is a work text that covers the traditional study in a modern prealgebra course, as well as the topics of estimation, elementary analytic geometry, and introductory algebra. It is intended for students who:

  1. have had previous courses in prealgebra
  2. wish to meet the prerequisites of higher level courses such as elementary algebra
  3. need to review fundamental mathematical concenpts and techniques

This text will help the student devlop the insight and intuition necessary to master arithmetic techniques and manipulative skills. It was written with the following main objectives: 

  1. to provide the student with an understandable and usable source of information
  2. to provide the student with the maximum oppurtinity to see that arithmetic concepts and techniques are logically based
  3. to instill in the student the understanding and intuitive skills necessary to know how and when to use particular arithmetic concepts in subsequent material cources and nonclassroom situations
  4. to give the students the ability to correctly interpret arithmetically obtained results

We have tried to meet these objects by presenting material dynamically much the way an instructure might present the material visually in a classroom. (See the development of the concept of addition and subtraction of fractions in section 5.3 for examples) Intuition and understanding are some of the keys to creative thinking, we belive that the material presented in this text will help students realize that mathematics is a creative subject.

About the Contributors


Denny Burzynski is a mathematics professor at College of Southern Nevada located in Las Vegas, Nevada. 

Wade Ellis, Jr., has been a mathematics instructor at West Valley Community College in Saratoga, California for 20 years. Wade is currently Second Vice President of the Mathematical Association of America. He is a past president of the California Mathematics Council, Community College and has served as a member of the Mathematical Sciences Education Board. He is the coauthor of numerous books on the use of computers in teaching and learning mathematics. Among his many honors are the AMATYC Mathematics Excellence Award, the Outstanding Civilian Service Medal of the United States Army, the Hayward Award for Excellence in Education from the California Academic Senate, and the Distinguished Service Award from the California Mathematics Council, Community College.