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xvi Preface
ACKNOWLEDGMENTS
My thanks to the reviewers of this addition, as well to reviewers of earlier edi-
tions, all of whose help is greatly appreciated.
Elizabeth Adams, James Madison University
Kemal Akkaya, Southern Illinois University
Charles Ashbacher, Mount Mercy College
Barnabas Bede, DigiPen Institute of Technology
Terry J. Bridgeman, Colorado School of Mines
David Casperson, University of Northern British Columbia
Adrienne Decker, SUNY Buffalo
Steve Donaldson, Samford University
Mordechai S. Goodman, Dominican University
Michael A. Gray, American University
Jerrold R. Griggs, University of South Carolina
Joseph Hobart, Okanagan College
Mark Jacobson, University of Northern Iowa
Lisa A. Jamba, University of Northern Florida
Tim Lin, Cal Poly
David Lugenbuhl, Western Carolina University
Damian Lyons, Fordham University
Mariana Maris, Arizona State University
Mikel D. Petty, University of Alabama in Huntsville
Amar Raheja, Cal Poly
J. Ben Schafer, University of Northern Iowa
Ali Shaykhian, Florida Institute of Technology
Shunichi Toida, Old Dominion University
William J. Weber, Southeast Missouri State University
Eric Westlund, Luther University
Hua Yan, Borough of Manhattan Community College
Yu Zhang, Texas A&M Corpus Christi
The folks at W.H. Freeman were very helpful in shepherding this edition
to completion, especially Penny Hull (veteran of many previous editions), Terri
Ward, Roland Cheyney, Liam Ferguson, Georgia Lee Hadler, and Vicki Tomaselli.
Thanks to Russell Kackley for the audio les on the Web site.
My deepest thanks go to my husband, John, ever my most ardent supporter
and dearest friend.
NOTE TO THE STUDENT
As you go through this book, you’ll encounter many new terms and new ideas.
Try reading with pencil and paper at hand and work the Practice problems as you
encounter them. They are intended to reinforce or clarify some new terminology
or method just introduced; answers are given at the back of the book. Pay atten-
tion also to the Reminders that point out common pitfalls or provide helpful hints.
Be sure to visit the Web site at www.whfreeman.com/gersting for detailed,
worked-out solutions to additional example problems tied to the Techniques in
each section. The Web site solutions are accompanied by audio les that explain
each step. A Student Solutions Manual with solutions for odd-numbered exercises
from the book is available from the Web site. The student manual also includes two
sample tests per chapter.
You may nd at rst that the thought processes required to solve the exercises
in the book are new and difcult. Your biggest attribute for success will be persever-
ance. Here’s what I tell my students: “If you do not see at rst how to solve a problem,
don’t give up, think about it some more; be sure you understand all the terminology
used in the problem, play with some ideas. If no approach presents itself, let it be
and think about it again later. Repeat this process for days on end. When you nally
wake up in the middle of the night with an idea, you’ll know you are putting in the
right amount of effort for this course.” Mathematical results don’t spring fully formed
from the foreheads of mathematical geniuses; well, maybe from mathematical ge-
niuses, but for the rest of us, it takes work, patience, false starts, and perseverance.
Enjoy the experience!