Classroom Resource Materials: Real Infinite Series (Hardback)

Condition

VERY GOOD: The book is in very good condition, with the only outward sign of use being ever-so-slightly bowed covers.

Product Details

From the back cover: "In its most basic setting, infinite series is the vehicle mathematicians use to extend finite addition to 'infinite addition.'Real Infinite Series presents elementary and advanced tests for convergence or divergence, information about the harmonic series, the alternating harmonic series, and closely related series. One chapter offers 107 concise, crisp, surprising results about infinite series. Recognizing the interest in problem solving that abounds with students of mathematics, the authors devote a chapter to problems on infinite series, and solutions, which have appeared on the annualWilliam Lowell Putnam Mathematical Competition .

"The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals (what Martin Gardner calls 'look-see' diagrams), and several fallacious proofs are made available.

"Three appendices provide a listing of true or false statements, answers to why the harmonic series is so named, and an extensive list of published works devoted entirely or partially to infinite series."

BRIEF CONTENTS

1. Introduction to Infinite Series
2. More Sophisticated Techniques
3. The Harmonic Series and Related Results
4. Intriguing Results
5. Series and the Putnam Competition
6. Final Diversions

1. 101 True or False Questions
2. Harmonic Series Article
3. References

The book concludes with an Index and About the Authors.

From the Preface: "This book is designed to be a resource on infinite series that may provide helpful to 1) teachers of high school calculus, 2) teachers of college level calculus, 3) undergraduate math majors who have had a taste of infinite series by way of one or two chapters at the beginning calculus text and need to review that material while learning more, or 4) students who have studied infinite series in advanced calculus or in elementary real analysis and have a thirst for more information on the topic. This book may also serve as a resource or supplemental text for a course on real infinite series for either advanced undergraduates or beginning graduate students. It may be of value in connection with a special topics course, or as one of several texts for a seminar on infinite series."