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Item Details
| Title:
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TRANSSERIES AND REAL DIFFERENTIAL ALGEBRA
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| By: |
J.Van Der Hoeven |
| Format: |
Paperback |
| List price:
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£44.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540355901 |
| ISBN 13: |
9783540355908 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
15 September, 2006 |
| Series: |
Lecture Notes in Mathematics v. 1888 |
| Pages: |
260 |
| Description: |
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. This book intends to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists. |
| Synopsis: |
Transseries are formal objects constructed from an infinitely large variable x and the reals using infinite summation, exponentiation and logarithm. They are suitable for modeling "strongly monotonic" or "tame" asymptotic solutions to differential equations and find their origin in at least three different areas of mathematics: analysis, model theory and computer algebra. They play a crucial role in Ecalle's proof of Dulac's conjecture, which is closely related to Hilbert's 16th problem. The aim of the present book is to give a detailed and self-contained exposition of the theory of transseries, in the hope of making it more accessible to non-specialists. |
| Illustrations: |
8 black & white illustrations, 1 black & white tables, biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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