Biblioteca Universității "Dunărea de Jos"

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Asymptotic differential algebra and model theory of transseries (AMS-195) [online] / Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

Contributor(s): ASCHENBRENNER, Matthias | VAN DEN DRIES, Lou | VAN DER HOEVEN, Joris.
Material type: materialTypeLabelBookSeries: Annals of Mathematics Studies, 195.Publisher: Princeton : Princeton University Press, 2017Description: 1 resursă online (880 p.).ISBN: 9781400885411 .Subject(s): | DE-Matematică | | cărți electronice | cărți achiziții | cărți străine | algebră diferențială | diagrama lui Newton | algebră comutativă | spații vectoriale | algebră polinomialăGenre/Form: Online resources: Acces la textul integral numai din contul de acces mobil.
Contents:
Frontmatter Contents Preface Conventions and Notations Leitfaden Dramatis Personæ Introduction and Overview Chapter One. Some Commutative Algebra Chapter Two. Valued Abelian Groups Chapter Three. Valued Fields Chapter Four. Differential Polynomials Chapter Five. Linear Differential Polynomials Chapter Six. Valued Differential Fields Chapter Seven. Differential-Henselian Fields Chapter Eight. Differential-Henselian Fields with Many Constants Chapter Nine. Asymptotic Fields and Asymptotic Couples Chapter Ten. H-Fields Chapter Eleven. Eventual Quantities, Immediate Extensions, and Special Cuts Chapter Twelve. Triangular Automorphisms Chapter Thirteen. The Newton Polynomial Chapter Fourteen. Newtonian Differential Fields Chapter Fifteen. Newtonianity of Directed Unions Chapter Sixteen. Quantifier Elimination Appendix A. Transseries Appendix B. Basic Model Theory Bibliography List of Symbols Index
List(s) this item appears in: Titluri cărți electronice De Gruyter | Titluri carți matematică (DC nave) intrate în 2016-2021 | Titluri cărți matematică (DC nave) publicate în 2017-2021 | Titluri cărți matematică intrate în 2010-2021 | Titluri cărți matematică intrate în 2016-2022 | Titluri cărți DC inginerie electrică (matematică) publicate în 2017-2022 | Titluri cărți matematică în limba engleză publicate în 2013-2023 | Titluri cărți matematică în limba engleză | Titluri cărți matematică intrate în 2016-2024
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Frontmatter Contents Preface Conventions and Notations Leitfaden Dramatis Personæ Introduction and Overview Chapter One. Some Commutative Algebra Chapter Two. Valued Abelian Groups Chapter Three. Valued Fields Chapter Four. Differential Polynomials Chapter Five. Linear Differential Polynomials Chapter Six. Valued Differential Fields Chapter Seven. Differential-Henselian Fields Chapter Eight. Differential-Henselian Fields with Many Constants Chapter Nine. Asymptotic Fields and Asymptotic Couples Chapter Ten. H-Fields Chapter Eleven. Eventual Quantities, Immediate Extensions, and Special Cuts Chapter Twelve. Triangular Automorphisms Chapter Thirteen. The Newton Polynomial Chapter Fourteen. Newtonian Differential Fields Chapter Fifteen. Newtonianity of Directed Unions Chapter Sixteen. Quantifier Elimination Appendix A. Transseries Appendix B. Basic Model Theory Bibliography List of Symbols Index

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