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The Resource Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)
Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)
Resource Information
The item Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 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 selfcontained exposition of the theory of transseries, in the hope of making it more accessible to nonspecialists
 Language
 eng
 Extent
 XII, 260 p.
 Contents

 Orderings
 Gridbased series
 The Newton polygon method
 Transseries
 Operations on transseries
 Gridbased operators
 Linear differential equations
 Algebraic differential equations
 The intermediate value theorem
 Isbn
 9783540355915
 Label
 Transseries and Real Differential Algebra
 Title
 Transseries and Real Differential Algebra
 Statement of responsibility
 by Joris Hoeven
 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 selfcontained exposition of the theory of transseries, in the hope of making it more accessible to nonspecialists
 http://library.link/vocab/creatorName
 Hoeven, Joris
 Image bit depth
 0
 LC call number
 QA564609
 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)
 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  Gridbased series  The Newton polygon method  Transseries  Operations on transseries  Gridbased 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
 10.1007/3540355901
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540355915
 Label
 Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)
 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  Gridbased series  The Newton polygon method  Transseries  Operations on transseries  Gridbased 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
 10.1007/3540355901
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783540355915
Subject
 Algebraic Geometry
 Difference and Functional Equations
 Differentiable dynamical systems
 Differentiable dynamical systems
 Dynamical Systems and Ergodic Theory
 Electronic resources
 Functional equations
 Functional equations
 Geometry, algebraic
 Geometry, algebraic
 Mathematics
 Mathematics
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/TransseriesandRealDifferentialAlgebraby/eT2mOo0CjHc/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/TransseriesandRealDifferentialAlgebraby/eT2mOo0CjHc/">Transseries and Real Differential Algebra, by Joris Hoeven, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>