Mathematics for Business, Science and Technology textbook overview
1. M
TH
A
Mathematicsfor Business, Science, and Technology
with MATLAB ® and Excel ® Computations
Third Edition
Steven T. Karris
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Includes a
Comprehensive
Treatment of Probability
and Statistics Illustrated
with Numerous
Examples
Orchard Publications
www.orchardpublications.com
12. Preface
This text is written for
a. high school graduates preparing to take business or science courses at community colleges or
universities
b. working professionals who feel that they need a math review from the very beginning
c. young students and working professionals who are enrolled in continued education
institutions, and majoring in business related topics, such as business administration and
accounting, and those pursuing a career in science, electronics, and computer technology.
Chapter 1 is an introduction to the basics of algebra.
Chapter 2 is a continuation of Chapter 1 and presents some practical examples with systems of
two and three equations.
Chapters 3 and 4 discuss the fundamentals of geometry and trigonometry respectively. These
treatments are not exhaustive; these chapters contain basic concepts that are used in science and
technology.
Chapter 5 is an abbreviated, yet a practical introduction to calculus.
Chapters 6 and 7 serve as an introduction to the mathematics of finance and economics and the
concepts are illustrated with numerous real−world applications and examples.
Chapters 8 through 12 are devoted to probability and statistics. Many practical examples are
given to illustrate the importance of this branch of mathematics. The topics that are discussed,
are especially important in management decisions and in reliability. Some readers may find
certain topics hard to follow; these may be skipped without loss of continuity.
In all chapters, numerous examples are given to teach the reader how to obtain quick answers to
some complicated problems using computer tools such as MATLAB®and Microsoft Excel.®
Appendix A contains a review of the basic arithmetic operations, introduces the SI system of
units, and discusses different types of graphs. It is written for the reader who needs a review of the
very basics of arithmetic.
Appendix B is intended to teach the interested reader how to use MATLAB. Many practical
examples are presented. The Student Edition of MATLAB is an inexpensive software package; it
can be found in many college bookstores, or can be obtained directly from
13. The MathWorks™ Inc., 3 Apple Hill Drive, Natick, MA 01760−2098
Phone: 508 647−7000, Fax: 508 647−7001
http://www.mathworks.com
e−mail: info@mathwork.com
Appendix C introduces the gamma and beta functions. These appear in the gamma and beta
distributions and find many applications in business, science, and engineering. For instance, the
Erlang distributions, which are a special case of the gamma distribution, form the basis of queuing
theory.
Appendix D is an introduction to Markov chains. A few practical examples illustrate their
application in making management decisions.
Appendices E, F, and G are introductions to the Lambda Index, Black−Scholes stock options
pricing, and the Altman Z−score bankruptcy prediction respectively.
Every chapter and appendix in this text is supplemented with Excel and / or MATLAB scripts to
verify the computations and to construct relevant plots. The pages where the Excel and
MATLAB scripts appear are listed in the Table of Contents.
New to the Second Edition
This is an refined revision of the first edition. The most notable changes are the addition of the
new Chapters 6 and 7, chapter−end summaries, and detailed solutions to all exercises. The latter
is in response to many students and working professionals who expressed a desire to obtain the
author’s solutions for comparison with their own.
New to the Third Edition
This is an refined revision of the second edition. The most notable is the addition of Appendices
E, F, and G. All chapters and Appendices A through D have been rewritten, and graphs have
been redrawn with the latest MATLAB® Student Version, Release 14.
All feedback for typographical errors and comments will be most welcomed and greatly
appreciated.
Orchard Publications
www.orchardpublications.com
info@orchardpublications.com