9780691175430 - asymptotic differential algebra and model theory of transseries: (ams-195) (annals of mathematics studies, 195, band 195) von aschenbrenner, matthias; dries, lou van den, l.p.d.; hoeven, joris van der (24 Ergebnisse)
Asymptotic Differential Algebra and Model Theory of Transseries: (AMS-195) (Annals of Mathematics Studies (195))
Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries (Annals of Mathematics Studies)
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Zustand: New. Series: Annals of Mathematics Studies. Num Pages: 880 pages, 12 line illus. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. . . 2017. Paperback. . . . .
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Asymptotic Differential Algebra and Model Theory of Transseries
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Sprache: Englisch
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Paperback. Zustand: New. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmi…c terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity.Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Zustand: New. Series: Annals of Mathematics Studies. Num Pages: 880 pages, 12 line illus. BIC Classification: PBF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152. . . 2017. Paperback. . . . . Books ship from the US and Ireland.
Asymptotic Differential Algebra and Model Theory of Transseries: (AMS-195)
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
- Softcover
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Asymptotic Differential Algebra and Model Theory of Transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Sprache: Englisch
Verlag: Princeton University Press, US, 2017
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Paperback. Zustand: New. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmi…c terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity.Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Paperback. Zustand: new. Paperback. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and… logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity.Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transser Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Asymptotic Differential Algebra and Model Theory of Transseries
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries
Aschenbrenner, Matthias/ Van Den Dries, Lou/ Van Der Hoeven, Joris
Sprache: Englisch
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Asymptotic Differential Algebra and Model Theory of Transseries: (AMS-195)
Aschenbrenner, Matthias; Van Den Dries, Lou; Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton University Press, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries: (AMS-195): 358 (Annals of Mathematics Studies, 195)
Matthias Aschenbrenner,Lou Van Den Dries,Joris Van Der Hoeven
Sprache: Englisch
Verlag: Princeton University Press 2017-06-13, 2017
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Asymptotic Differential Algebra and Model Theory of Transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Sprache: Englisch
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Paperback. Zustand: New. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmi…c terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity.Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
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Asymptotic Differential Algebra and Model Theory of Transseries: (Ams-195)
Matthias Aschenbrenner|Lou Van Den Dries|Joris Van Der Hoeven
Sprache: Englisch
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Kartoniert / Broschiert. Zustand: New. Über den AutorMatthias Aschenbrenner is professor of mathematics at the University of California, Los Angeles. Lou van den Dries is professor of mathematics at the University of Illinois, Urbana-Champaign. Joris van.
Asymptotic Differential Algebra and Model Theory of Transseries
Aschenbrenner, Matthias/ Van Den Dries, Lou/ Van Der Hoeven, Joris
Sprache: Englisch
Verlag: Princeton Univ Pr, 2017
- Softcover
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Asymptotic Differential Algebra and Model Theory of Transseries
Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven
Sprache: Englisch
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Paperback. Zustand: New. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmi…c terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity.Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
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Sprache: Englisch
Verlag: Princeton University Press Jun 2017, 2017
- Softcover
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Taschenbuch. Zustand: Neu. Neuware - Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential an…d logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems.This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity. Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences.
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Sprache: Englisch
Verlag: Princeton University Press, New Jersey, 2017
- Softcover
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Paperback. Zustand: new. Paperback. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and… logarithmic terms. Over the last thirty years, transseries emerged variously as super-exact asymptotic expansions of return maps of analytic vector fields, in connection with Tarski's problem on the field of reals with exponentiation, and in mathematical physics. Their formal nature also makes them suitable for machine computations in computer algebra systems. This self-contained book validates the intuition that the differential field of transseries is a universal domain for asymptotic differential algebra. It does so by establishing in the realm of transseries a complete elimination theory for systems of algebraic differential equations with asymptotic side conditions. Beginning with background chapters on valuations and differential algebra, the book goes on to develop the basic theory of valued differential fields, including a notion of differential-henselianity.Next, H-fields are singled out among ordered valued differential fields to provide an algebraic setting for the common properties of Hardy fields and the differential field of transseries. The study of their extensions culminates in an analogue of the algebraic closure of a field: the Newton-Liouville closure of an H-field. This paves the way to a quantifier elimination with interesting consequences. Asymptotic differential algebra seeks to understand the solutions of differential equations and their asymptotics from an algebraic point of view. The differential field of transseries plays a central role in the subject. Besides powers of the variable, these series may contain exponential and logarithmic terms. Over the last thirty years, transser Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.
