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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): Material type: TextTextLanguage: English Series: Annals of Mathematics Studies ; 195Publication details: Princeton : Princeton University Press, 2017Description: 1 resursă online (880 p.)ISBN:
  • 9781400885411
Subject(s): Genre/Form:
Online resources:
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
Item type: E-Books List(s) this item appears in: Titluri cărți electronice achiziționate prin Anelis Plus (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
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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

Achiziție prin proiectul Anelis Plus 2020.

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Biblioteca Universității "Dunărea de Jos" din Galați

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