Licensed
Unlicensed
Requires Authentication
Asymptotic Differential Algebra and Model Theory of Transseries
(AMS-195)
Volume 195 in the series
Annals of Mathematics Studies
- Language: English
- Publisher: Princeton University Press
- Copyright year: 2017
- Audience: Professional and scholarly;College/higher education;
- Pages
- Main content: 880
- Illustrations
- Other: 12 line illus.
- Keywords: asymptotic differential algebra; differential field; asymptotics; transseries; differential-hensel; H-field; Newton-Liouville closure; valuation; valued differential field; mathematics; ordered differential field; grid-based transseries; closure properties; asymptotic relation; commutative algebra; Johnson's Theorem; algebraic differential equation; regular local ring; Kähler differentials; commutative ring; Zariski topology; noetherian ring; integrally closed domain; Krull's Principal Ideal Theorem; valued abelian group; ordered set; ordered abelian group; valued field; pseudocauchy sequence; Hahn Embedding Theorem; valued vector space; Hahn space; extension; pseudoconvergence; henselian valued field; Newton diagram; Newton tree; differential polynomial; decomposition; continuity; derivation; valuation topology; gaussian extension; simple differential ring; differentially closed field; linear differential polynomial; homogeneous differential polynomial; linear differential operator; linear differential equation; differential module; compositional conjugation; Riccati transform; differential field extension; residue field; small derivation; value group; asymptotic couple; dominant part; Equalizer Theorem; immediate extension; differential-henselian field; d-henselianity; d-henselian; maximal immediate extension; constant; monotonicity; differential-henselianity; Scanlon's extension; angular component map; equivalence; substructure; quantifier elimination; model companion; asymptotic field; H-asymptotic couple; coarsening; specialization; algebraic extension; closed H-asymptotic couple; integral; differential-valued extension; exponential integral; Liouville closed H-field; Liouville closure; pre-differential-valued field; eventual quantities; special cut; Newton weight; Newton degree; Newton multiplicity; H-asymptotic field; rational asymptotic integration; triangular automorphism; triangular derivation; filtered module
eBook
- Published: June 6, 2017
- ISBN: 9781400885411
