Show Summary Details
- Title Pages
- Epigraph
- 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 <i>H</i>-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
(p.787) Bibliography
(p.787) Bibliography
- Source:
- Asymptotic Differential Algebra and Model Theory of Transseries
- Author(s):
Matthias Aschenbrenner
Lou van den Dries
Joris van der Hoeven
- Publisher:
- Princeton University Press
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- Title Pages
- Epigraph
- 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 <i>H</i>-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