| Introduction to Algebraic Independence Theory 2001 Edition Contributor(s): Nesterenko, Yuri V. (Editor), Amoroso, F. (Contribution by), Philippon, Patrice (Editor) |
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ISBN: 3540414967 ISBN-13: 9783540414964 Publisher: Springer OUR PRICE: $61.74 Product Type: Paperback Published: January 2001 Annotation: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e(pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject. |
| Additional Information |
| BISAC Categories: - Mathematics | Number Theory - Mathematics | Geometry - Algebraic - Medical |
| Dewey: 512.73 |
| LCCN: 00054757 |
| Series: Lecture Notes in Computer Science |
| Physical Information: 0.58" H x 6.14" W x 9.21" (0.86 lbs) 260 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: In the last five years there has been very significant progress in the development of transcendence theory. A new approach to the arithmetic properties of values of modular forms and theta-functions was found. The solution of the Mahler-Manin problem on values of modular function j(tau) and algebraic independence of numbers pi and e (pi) are most impressive results of this breakthrough. The book presents these and other results on algebraic independence of numbers and further, a detailed exposition of methods created in last the 25 years, during which commutative algebra and algebraic geometry exerted strong catalytic influence on the development of the subject. |
