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 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
(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 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
