| 000 | 02883nam a22005175i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-35591-5 | ||
| 003 | DE-He213 | ||
| 005 | 20181204131308.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2006 gw | s |||| 0|eng d | ||
| 020 |
_a9783540355915 _9978-3-540-35591-5 |
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| 024 | 7 |
_a10.1007/3-540-35590-1 _2doi |
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| 040 | _aISI Library, Kolkata | ||
| 050 | 4 | _aQA564-609 | |
| 072 | 7 |
_aPBMW _2bicssc |
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| 072 | 7 |
_aMAT012010 _2bisacsh |
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| 072 | 7 |
_aPBMW _2thema |
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| 082 | 0 | 4 |
_a516.35 _223 |
| 100 | 1 |
_aHoeven, Joris van der. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aTransseries and Real Differential Algebra _h[electronic resource] / _cby Joris van der Hoeven. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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| 300 |
_aXII, 260 p. 8 illus. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1888 |
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| 505 | 0 | _aOrderings -- Grid-based series -- The Newton polygon method -- Transseries -- Operations on transseries -- Grid-based operators -- Linear differential equations -- Algebraic differential equations -- The intermediate value theorem. | |
| 520 | _aTransseries 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 Écalle'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. | ||
| 650 | 0 | _aGeometry, algebraic. | |
| 650 | 0 | _aFunctional equations. | |
| 650 | 0 | _aDifferentiable dynamical systems. | |
| 650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
| 650 | 2 | 4 |
_aDifference and Functional Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12031 |
| 650 | 2 | 4 |
_aDynamical Systems and Ergodic Theory. _0http://scigraph.springernature.com/things/product-market-codes/M1204X |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540825890 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540355908 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1888 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/3-540-35590-1 |
| 912 | _aZDB-2-SMA | ||
| 912 | _aZDB-2-LNM | ||
| 942 | _cEB | ||
| 950 | _aMathematics and Statistics (Springer-11649) | ||
| 999 |
_c425122 _d425122 |
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