The Journey Ahead At the heart of transcendental number theory lies an intriguing paradox: While essen tially all numbers are transcendental, establishing the transcendence of a particular number is a monumental task. Thus transcendental numbers are an enigmatic species of number: We know they are all around us and yet it requires enormous effort to catch one. More often than not, they slip through our fingers and dissappear back into the dense jungle of numbers. Here we will venture to tame a few of these incredible ...
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The Journey Ahead At the heart of transcendental number theory lies an intriguing paradox: While essen tially all numbers are transcendental, establishing the transcendence of a particular number is a monumental task. Thus transcendental numbers are an enigmatic species of number: We know they are all around us and yet it requires enormous effort to catch one. More often than not, they slip through our fingers and dissappear back into the dense jungle of numbers. Here we will venture to tame a few of these incredible creatures. In the pages ahead we offer an approach to transcendence that not only includes the intricate analysis but also the beautiful ideas behind the technical details. The phrase "classical transcendental number theory" in the title of this book refers to the most widely known results that were obtained in the nineteenth and early twentieth centuries. The reason for this focus is threefold. Firstly, this body of work requires only the mathematical techniques and tools familiar to advanced undergraduate mathematics students, and thus this area can be appreciated by a wide range of readers. Secondly, the ideas behind modem transcendence results are almost always an elaboration of the classical arguments we will explore here. And finally, and perhaps more importantly, this early work yields the transcendence of such admired and well-known numbers as e, rr, and even 2v'2.
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Add this copy of Making Transcendence Transparent: an Intuitive Approach to cart. $12.46, good condition, Sold by BooksRun rated 4.0 out of 5 stars, ships from Philadelphia, PA, UNITED STATES, published 2004 by Springer.
Add this copy of Making Transcendence Transparent: An Intuitive Approach to cart. $27.00, good condition, Sold by Marriott Library Booksale rated 5.0 out of 5 stars, ships from Salt Lake City, UT, UNITED STATES, published 2004 by Springer.
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Good. No dust jacket. good book. Sewn binding. Cloth over boards. 263 p. Contains: Illustrations, black & white. Audience: General/trade. Book: All pages and cover are intact. Pages may have dog-ears. Possible slight loose binding or cocked spine. Cover may have creases, deep chips, scuffs, and scratches. The edges and corners may have a good amount of bumps and wear. Book may contain highlighting/underlining and markings or signed by the previous owner. Book may be Ex Library and have stickers, remainder marks, and library pockets. Used copy so book does not contain unused access codes or have the accompanying CD.
Add this copy of Making Transcendence Transparent: an Intuitive Approach to cart. $53.32, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2004 by Springer.
