Making Transcendence Transparent an Intuitive Approach to Classical Transcendental Number Theory

Making Transcendence Transparent an Intuitive Approach to Classical Transcendental Number Theory

E.B. Burger, R. Tubbs Making Transcendence Transparent An intuitive approach to classical transcendental number theory ▶ First book that makes the difficult and important subject of transcendental number theory accessible to undergraduate mathematics students ▶ The authors inject a bit of literary flair in their exposition that many students will find enjoyable While the study of transcendental numbers is a fundamental pursuit within number theory, the general mathematics community is familiar only with its most elementary results. The aim of Making Transcendence Transparent is to introduce readers to the major "classical" results and themes of transcendental number theory and to provide an intuitive framework in which the basic principles and tools of transcendence can be understood. The text includes not just the myriad of technical details requisite for transcendence proofs, but also intuitive overviews of the central ideas of those arguments so that readers 2004, IX, 263 p. 50 illus. can appreciate and enjoy a panoramic view of transcendence. In addition, the text offers a number of excursions into the basic algebraic notions necessary for the journey. Thus the book is designed to appeal not only to interested mathematicians, but also to both Printed book graduate students and advanced undergraduates. Hardcover Edward Burger is Professor of Mathematics and Chair at Williams College. His research ▶ 74,99 € | £64.99 | $89.99 interests are in Diophantine analysis, and he is the author of over forty papers, books, and ▶ *80,24 € (D) | 82,49 € (A) | CHF 88.50 videos. The Mathematical Association of America has honored Burger on a number of occasions including, most recently, in awarding him the prestigious 2004 Chauvenet Prize. eBook Available from your bookstore or Robert Tubbs is a Professor at the University of Colorado in Boulder. He has written ▶ springer.com/shop numerous papers in transcendental number theory. Tubbs has held visiting positions at the Institute for Advanced Study, MSRI, and at Paris VI. He has recently completed a book MyCopy on the cultural history of mathematical truth. Printed eBook for just ▶ € | $ 24.99 ▶ springer.com/mycopy Order online at springer.com ▶ or for the Americas call (toll free) 1-800-SPRINGER ▶ or email us at: [email protected]. ▶ For outside the Americas call +49 (0) 6221-345-4301 ▶ or email us at: [email protected]. The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with * include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with ** include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted..

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