Making Transcendence Transparent An intuitive approach to classical transcendental number theory

Free Download Making Transcendence Transparent: An intuitive approach to classical transcendental number theory By Edward B. Burger, Robert Tubbs
2004 | 263 Pages | ISBN: 1441919481 | PDF | 11 MB
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 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 graduate students and advanced undergraduates.