| Transseries and Real Differential Algebra 2006 Edition Contributor(s): Van Der Hoeven, Joris (Author) |
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ISBN: 3540355901 ISBN-13: 9783540355908 Publisher: Springer OUR PRICE: $56.99 Product Type: Paperback - Other Formats Published: September 2006 Annotation: 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 ??calle'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.
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| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Algebraic - Mathematics | Differential Equations - General - Mathematics | Mathematical Analysis |
| Dewey: 512.56 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.63" H x 6.32" W x 9.29" (0.90 lbs) 260 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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 calle'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. |