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DR. ROBERT E. MOYER taught mathematics and mathematics education at Southwest Minnesota State University in Marshall, Minnesota, from 2002 to 2009 and served as an adjunct professor of mathematics there from 2009 to 2012. Before coming to SMSU, he taught mathematics and mathematics education at Fort Valley State University in Fort Valley, Georgia, from 1985 to 2000. He served as head of the Department of Mathematics and Physics from 1992 to 1994. Prior to teaching at the university level, Dr.
Moyer served as the K-12 mathematics consultant for seven years at Middle Georgia Regional Educational Service Agency, a five-county education cooperative in central Georgia. Dr. Moyer taught high school mathematics for seven years in Rantoul, Illinois, and for five years in Carmi, Illinois. He has developed and taught numerous inservice courses for mathematics teachers. He received his Doctor of Philosophy in Mathematics Education from the University of Illinois (Urbana-Champaign) in 1974. MURRAY R. MURRAY R.
SPIEGEL received the MS degree in Physics and the PhD in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge, and Rensselaer Polytechnic Institute, and had served as mathematical consultant at several large companies. His last position was Professor and Chairman of Mathematics at the Rensselaer Polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involved applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics. Copyright 2019 by McGraw-Hill Education.
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Preface
In the fifth edition, the comprehensiveness of earlier editions is retained and three new chapters are added so that all of the topics commonly taught in college algebra are contained in a single source.
Although the use of logarithm tables and determinants has declined, these topics are retained for use by instructors who still include them in their courses. Manual solutions are used to develop an understanding of the procedures that are frequently done using calculators and computers. The book is complete in itself and can be used equally well by those who are in a class studying college algebra for the first time as well as those who wish to review the fundamental principles and procedures of college algebra on their own. Students who are studying advanced algebra in high school will be able to use the book as a source of additional examples, explanations, and problems. The thorough treatment of the topics of algebra allows an instructor to use the book as the textbook for a course, as a resource for material on a specific topic, or as a source for additional problems. Each of the contains additional solved problems and supplementary problems with answers for each of the prior chapters.
The choice of whether to use a calculator or not is left to the student. A calculator is not required, but it can be used in conjunction with the book. There are no directions on how to use a graphing calculator to do the problems, but there are several instances of the general procedures to be used and the student needs to consult the manual for the calculator being used to see how to implement the procedures on that particular calculator. DR. ROBERT E. MOYER
Associate Professor of Mathematics
Southwest Minnesota State University (Retired)
Professor of Mathematics
Fort Valley State University (Retired)
CHAPTER 1
Fundamental Operations with Numbers
1.1 FOUR OPERATIONS
Four operations are fundamental in algebra, as in arithmetic.
These are addition, subtraction, multiplication, and division. When two numbers a