Real Infinite Series (Mathematical Association of America Textbooks) pdf epub fb2

Real Infinite Series (Mathematical Association of America Textbooks) by Daniel D. Bonar pdf epub fb2

Real Infinite Series (Mathematical Association of America Textbooks) Author: Daniel D. Bonar
Title: Real Infinite Series (Mathematical Association of America Textbooks)
ISBN: 0883857456
ISBN13: 978-0883857458
Other Formats: doc lit mbr lrf
Pages: 274 pages
Publisher: American Mathematical Society; 1 edition (January 20, 2006)
Language: English
Category: Science & Math
Size PDF version: 1250 kb
Size EPUB version: 1860 kb
Subcategory: Mathematics




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.