Real Infinite Series

This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results. An up-to-date presentation is given, making infinite series accessible, interesting, and useful to a wide audience, including students, teachers, and researchers. Included are elementary and advanced tests for convergence or divergence, the harmonic series, the alternating harmonic series, and closely related results. One chapter offers 107 concise, crisp, surprising results about infinite series. Another gives problems on infinite series, and solutions, which have appeared on the annual William Lowell Putnam Mathematical Competition. The lighter side of infinite series is treated in the concluding chapter where three puzzles, eighteen visuals, 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 on infinite series.

ISBN 0883857456   Volumes 001 ISBN13 9780883857458 (What's this?)   Weight (grammes) 688 Publisher Mathematical Association of America   Published in Washington Imprint Mathematical Association of America   Series editor Watkins, William, Sterrett, Andrew, Farris, Frank A. Format Hardback   Series title Mathematical Association of America Textbooks Publication date 06 Apr 2006   Height (mm) 253 Library of Congress QA295.B718   Width (mm) 177 DEWEY 515.243   Spine width (mm) 20 DEWEY edition DC22   Academic level Tertiary education Pages 276

1		Introduction to infinite series		1
2		More sophisticated techniques		41
3		The harmonic series and related results		65
4		Intriguing results		89
5		Series and the Putnam competition		151
6		Final diversions		193

'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 of infinite series, and solutions ...' L'enseignement mathematique

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