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Real Infinite Series

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Real Infinite Series

最 低 价:¥394.20

定 价:¥448.00

作 者:Daniel D. Bonar(丹尼尔·D·博纳),Michael J. Khoury,Jr.(小迈克尔·J·库利)

出 版 社:The Mathematical Association of America

出版时间:2006-04-06

I S B N:9780883857458

  • Real Infinite Series
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    内容简介

    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.

    作者简介

    Daniel Donald Bonar did his Ph.D. work in complex analysis at Ohio State University where he graduated in 1968. In 1965 he joined the faculty of Denison University in Granville, OH where he has been teaching mathematics, statistics, and computer science. In 1995 he was appointed to the newly created George R. Stibitz Distinguished Professorship in Mathematics and Computer Science. He is the author of a book entitled "On Annular Functions", and is co-author on several research papers. He has published joint work with the internationally acclaimed Hungarian mathematician Paul Erdos. Michael Khouryis currently pursuing a Ph.D. in number theory at the Ohio State University with the support of the NSF. Michael Khoury was a prizewinner in the Putnam Mathematical Competition, and participated twice in the Math Olympiad Summer Program in Lincoln, NE, a four-week program open to the top performers on the USA Math Olympiad.

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