© 2004

A Beginner’s Guide to Finite Mathematics

For Business, Management, and the Social Sciences


Table of contents

  1. Front Matter
    Pages i-xii
  2. W. D. Wallis
    Pages 1-44
  3. W. D. Wallis
    Pages 45-69
  4. W. D. Wallis
    Pages 71-135
  5. W. D. Wallis
    Pages 137-186
  6. W. D. Wallis
    Pages 187-240
  7. W. D. Wallis
    Pages 241-304
  8. Back Matter
    Pages 305-355

About this book


This concise text takes a distinctly applied approach to finite mathematics at the freshman and sophomore level. Topics are presented sequentially: the book opens with a brief review of sets and numbers, followed by an introduction to data sets, histograms, means and medians. Counting techniques and the Binomial Theorem are covered, which provides the foundation for elementary probability theory; this, in turn, leads to basic statistics.

Graph theory is defined, with particular emphasis on its use in mathematical modeling. Matrices and vectors are discussed, along with several elementary commercial applications. The book concludes with an introduction to linear programming, including the simplex method and duality. Ample examples and illustrations are provided throughout; each section contains two sets of problems, with solutions provided for the first set.

Requiring little mathematical background beyond high school algebra, the text will be especially useful for business and liberal arts majors.  Its straightforward treatment of the essential concepts in finite mathematics will appeal to a wide audience of students and teachers.


Combinatorics Counting Finite Mathematics Graph Theory Linear Programming Median Set Theory ksa linear optimization modeling programming sets statistics

Authors and affiliations

  1. 1.Department of MathematicsSouthern Illinois UniversityCarbondaleUSA

Bibliographic information


"The present textbook gives a concise introduction to finite mathematics. It covers the topics counting, discrete probability, graph theory, linear equations, and linear programming...It is well written and easy to read, with many examples and applications."

—International Mathematical News

"This concise book us desugbed for a one semester introductory course in finite mathematics and its applications for freshmen and sophomore students in business, management, and the social sciences...The author presents examples as "sample problems" in the body of every section, and these are usually followed by "your turn" exercises designed to test the reader's comprehension."


"[A Beginner's Guide to Finite Mathematics] is suitable for self-studying the topic "finite mathematics" without visiting a course because of requiring little mathematical background beyond high school algebra. I would recommend this book to everyone who wants to have a first look at applied discrete mathematics."

—Simulation News Europe