| Transcendental and Algebraic Numbers Contributor(s): Gelfond, A. O. (Author), Boron, Leo F. (Translator) |
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ISBN: 0486495264 ISBN-13: 9780486495262 Publisher: Dover Publications
WE WILL NOT BE UNDERSOLD! Click here for our low price guarantee Binding Type: Hardcover Published: March 2015 * Out of Print * Click for more in this series: Dover Phoenix Editions |
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| Additional Information |
| BISAC Categories: - Mathematics | Number Theory |
| Dewey: 512.73 |
| LCCN: 2002037092 |
| Series: Dover Phoenix Editions |
| Physical Information: 0.76" H x 5.6" W x 9" L (0.97 lbs) 208 pages |
| Features: Bibliography, Price on Product |
| Descriptions, Reviews, Etc. |
| Publisher Description: Primarily an advanced study of the modern theory of transcendental and algebraic numbers, this treatment by a distinguished Soviet mathematician focuses on the theory's fundamental methods. The text also chronicles the historical development of the theory's methods and explores the connections with other problems in number theory. The problem of approximating algebraic numbers is also studied as a case in the theory of transcendental numbers. Topics include the Thue-Siegel theorem, the Hermite-Lindemann theorem on the transcendency of the exponential function, and the work of C. Siegel on the transcendency of the Bessel functions and of the solutions of other differential equations. The final chapter considers the Gelfond-Schneider theorem on the transcendency of alpha to the power beta. Each proof is prefaced by a brief discussion of its scheme, which provides a helpful guide to understanding the proof's progression. |
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