Preface
xv
for a proof, the complete proof is given. Otherwise, the answer is just
the answer, not necessarily the solution. A Student Solutions Manual with
solutions for odd-numbered exercises from the book is available from the
Web site at www.whfreeman.com/gersting. The student manual also includes two sample tests per chapter. A complete Solutions Manual is available to instructors from the publisher.
• Many new exercises have been added, particularly with an eye toward
pairing odd-numbered exercises with similar even-numbered exercises.
• Of course, student learning aids such as chapter objectives, practice problems, reminders, section reviews, and chapter reviews remain.
w E B S i T E
Online Study Guide
A Web site for the book may be found at www.whfreeman.com/gersting. The Web
pages contain representative new example problems (not contained in the text) for
many of the end-of-section Techniques. Each Technique that has a corresponding
Web page example is marked with the icon W .
Each example on the Web first states the problem. Then succeeding pages
develop the solution, much as the student would be expected to write it. As the student navigates the pages, the solution unfolds step-by-step. A compressed audio
file is also part of each Web page after the initial problem statement. The audio file
contains a first-person stream-of-consciousness thought process about that step of
the solution—why it occurred to the narrator to try this, why it looked promising,
what knowledge was being called on to suggest that this step should come next,
and so on. The point is, students see perfect and complete worked-out proofs in
the textbook and often see them performed by the instructor. Yet when a student
goes home and tries to produce such a solution by himself or herself, he or she is
unsure where to start or how to think about the problem or how to see any pattern to enable a guess as to what to do next. Consequently the student gives up in
frustration. The purpose of the audio narration is to share the “secret picture” that
mathematicians use to solve problems.
To access the problems, after you go to www.whfreeman.com/gersting, select
a chapter section, then select a sample problem and follow its step-by-step process
with the “Next” button.
PowerPoint Slides
Instructors who visit the web site will also have access to PowerPoint slides
accompanying each section of the text.
xv
for a proof, the complete proof is given. Otherwise, the answer is just
the answer, not necessarily the solution. A Student Solutions Manual with
solutions for odd-numbered exercises from the book is available from the
Web site at www.whfreeman.com/gersting. The student manual also includes two sample tests per chapter. A complete Solutions Manual is available to instructors from the publisher.
• Many new exercises have been added, particularly with an eye toward
pairing odd-numbered exercises with similar even-numbered exercises.
• Of course, student learning aids such as chapter objectives, practice problems, reminders, section reviews, and chapter reviews remain.
w E B S i T E
Online Study Guide
A Web site for the book may be found at www.whfreeman.com/gersting. The Web
pages contain representative new example problems (not contained in the text) for
many of the end-of-section Techniques. Each Technique that has a corresponding
Web page example is marked with the icon W .
Each example on the Web first states the problem. Then succeeding pages
develop the solution, much as the student would be expected to write it. As the student navigates the pages, the solution unfolds step-by-step. A compressed audio
file is also part of each Web page after the initial problem statement. The audio file
contains a first-person stream-of-consciousness thought process about that step of
the solution—why it occurred to the narrator to try this, why it looked promising,
what knowledge was being called on to suggest that this step should come next,
and so on. The point is, students see perfect and complete worked-out proofs in
the textbook and often see them performed by the instructor. Yet when a student
goes home and tries to produce such a solution by himself or herself, he or she is
unsure where to start or how to think about the problem or how to see any pattern to enable a guess as to what to do next. Consequently the student gives up in
frustration. The purpose of the audio narration is to share the “secret picture” that
mathematicians use to solve problems.
To access the problems, after you go to www.whfreeman.com/gersting, select
a chapter section, then select a sample problem and follow its step-by-step process
with the “Next” button.
PowerPoint Slides
Instructors who visit the web site will also have access to PowerPoint slides
accompanying each section of the text.