The Resource Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)

Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)

Label
Transseries and Real Differential Algebra
Title
Transseries and Real Differential Algebra
Statement of responsibility
by Joris Hoeven
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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 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
Member of
http://library.link/vocab/creatorName
Hoeven, Joris
Image bit depth
0
LC call number
QA564-609
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
1888
http://library.link/vocab/subjectName
  • Mathematics
  • Geometry, algebraic
  • Functional equations
  • Differentiable dynamical systems
  • Mathematics
  • Algebraic Geometry
  • Difference and Functional Equations
  • Dynamical Systems and Ergodic Theory
Label
Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Orderings -- Grid-based series -- The Newton polygon method -- Transseries -- Operations on transseries -- Grid-based operators -- Linear differential equations -- Algebraic differential equations -- The intermediate value theorem
Dimensions
unknown
Extent
XII, 260 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540355915
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/3-540-35590-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-35591-5
Label
Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Orderings -- Grid-based series -- The Newton polygon method -- Transseries -- Operations on transseries -- Grid-based operators -- Linear differential equations -- Algebraic differential equations -- The intermediate value theorem
Dimensions
unknown
Extent
XII, 260 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783540355915
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/3-540-35590-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-540-35591-5

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