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1

Asymptotic Differential Algebra and Model Theory of Transseries || Preface

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 127 KB

english, 2017

2

The field of reals with a predicate for the powers of two

Lou van den Dries

Journal:

manuscripta mathematica

Year:

1985

Language:

english

File:

PDF, 257 KB

english, 1985

3

The Elementary Theory of Restricted Analytic Fields with Exponentiation

Lou van den Dries, Angus Macintyre and David Marker

Journal:

Annals of Mathematics

Year:

1994

Language:

english

File:

PDF, 1.49 MB

english, 1994

4

Geometric categories and o-minimal structures

van den Dries, Lou, Miller, Chris

Journal:

Duke Mathematical Journal

Year:

1996

Language:

english

File:

PDF, 3.90 MB

english, 1996

5

Alfred Tarski's elimination theory for real closed fields

Van Den Dries, Lou

Journal:

Journal of Symbolic Logic

Year:

1988

Language:

english

File:

PDF, 979 KB

english, 1988

6

Asymptotic Differential Algebra and Model Theory of Transseries || Conventions and Notations

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 235 KB

english, 2017

7

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Seven. Differential-Henselian Fields

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 509 KB

english, 2017

8

Asymptotic Differential Algebra and Model Theory of Transseries || Introduction and Overview

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 541 KB

english, 2017

9

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Twelve. Triangular Automorphisms

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 722 KB

english, 2017

10

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter One. Some Commutative Algebra

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 596 KB

english, 2017

11

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Thirteen. The Newton Polynomial

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 717 KB

english, 2017

12

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Four. Differential Polynomials

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 603 KB

english, 2017

13

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Eight. Differential-Henselian Fields with Many Constants

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 409 KB

english, 2017

14

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Six. Valued Differential Fields

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 552 KB

english, 2017

15

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Three. Valued Fields

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 913 KB

english, 2017

16

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Two. Valued Abelian Groups

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 549 KB

english, 2017

17

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Eleven. Eventual Quantities, Immediate Extensions, and Special Cuts

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 747 KB

english, 2017

18

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Ten. H-Fields

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 621 KB

english, 2017

19

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Nine. Asymptotic Fields and Asymptotic Couples

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 675 KB

english, 2017

20

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Five. Linear Differential Polynomials

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 778 KB

english, 2017

21

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Fifteen. Newtonianity of Directed Unions

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 381 KB

english, 2017

22

Asymptotic Differential Algebra and Model Theory of Transseries || List of Symbols

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 499 KB

english, 2017

23

Asymptotic Differential Algebra and Model Theory of Transseries || Leitfaden

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

File:

PDF, 67 KB

2017

24

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Sixteen. Quantifier Elimination

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 568 KB

english, 2017

25

Asymptotic Differential Algebra and Model Theory of Transseries || Chapter Fourteen. Newtonian Differential Fields

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 576 KB

english, 2017

26

Asymptotic Differential Algebra and Model Theory of Transseries || Bibliography

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 348 KB

english, 2017

27

Asymptotic Differential Algebra and Model Theory of Transseries || Appendix B. Basic Model Theory

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 710 KB

english, 2017

28

Asymptotic Differential Algebra and Model Theory of Transseries || Appendix A. Transseries

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 409 KB

english, 2017

29

Asymptotic Differential Algebra and Model Theory of Transseries || Dramatis Personæ

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 324 KB

english, 2017

30

Logarithmic-exponential series

Lou van den Dries, Angus Macintyre, David Marker

Journal:

Annals of Pure and Applied Logic

Year:

2001

Language:

english

File:

PDF, 379 KB

english, 2001

31

A remark on Ax's theorem on solvability modulo primes

Lou van den Dries

Journal:

Mathematische Zeitschrift

Year:

1991

Language:

english

File:

PDF, 307 KB

english, 1991

32

Elimination of quantifiers in algebraic structures

Angus Macintyre, Kenneth McKenna, Lou van den Dries

Journal:

Advances in Mathematics

Year:

1983

Language:

english

File:

PDF, 768 KB

english, 1983

33

Analytic Hardy Fields and Exponential Curves in the Real Plane

Lou Van Den Dries

Journal:

American Journal of Mathematics

Year:

1984

Language:

english

File:

PDF, 1.75 MB

english, 1984

34

THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP

VAN DEN DRIES, LOU, GÜNAYDIN, AYHAN

Journal:

Proceedings of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 378 KB

english, 2006

35

The Real Field with Convergent Generalized Power Series

Lou Van Den Dries and Patrick Speissegger

Journal:

Transactions of the American Mathematical Society

Year:

1998

Language:

english

File:

PDF, 6.34 MB

english, 1998

36

Asymptotic Differential Algebra and Model Theory of Transseries || Index

Aschenbrenner, Matthias, van den Dries, Lou, van der Hoeven, Joris

Year:

2017

Language:

english

File:

PDF, 537 KB

english, 2017

37

Closed asymptotic couples

Matthias Aschenbrenner, Lou van den Dries

Journal:

Journal of Algebra

Year:

2000

Language:

english

File:

PDF, 357 KB

english, 2000

38

A specialization theorem for p-adic power series converging on the closed unit disc

Lou van den Dries

Journal:

Journal of Algebra

Year:

1981

Language:

english

File:

PDF, 559 KB

english, 1981

39

An application of tarskis principle to absolute Galois groups of function fields

Lou van den Dries, Paulo Ribenboim

Journal:

Annals of Pure and Applied Logic

Year:

1987

Language:

english

File:

PDF, 2.23 MB

english, 1987

40

Dimension of definable sets, algebraic boundedness and Henselian fields

Lou Van den Dries

Journal:

Annals of Pure and Applied Logic

Year:

1989

Language:

english

File:

PDF, 1.06 MB

english, 1989

41

Quantifier elimination for modules with scalar variables

Lou van den Dries, Jan Holly

Journal:

Annals of Pure and Applied Logic

Year:

1992

Language:

english

File:

PDF, 1.06 MB

english, 1992

42

Differentially algebraic gaps

Matthias Aschenbrenner, Lou van den Dries, Joris van der Hoeven

Journal:

Selecta Mathematica

Year:

2005

Language:

english

File:

PDF, 334 KB

english, 2005

43

On the elementary theory of rings of Witt vectors with a multiplicative set of representatives for the residue field

Lou van den Dries

Journal:

manuscripta mathematica

Year:

1999

Language:

english

File:

PDF, 44 KB

english, 1999

44

A Polish group without Lie sums

Lou van den Dries, Su Gao

Journal:

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg

Year:

2009

Language:

english

File:

PDF, 401 KB

english, 2009

45

On the Elementary Theory of Restricted Elementary Functions

Lou van den Dries

Journal:

Journal of Symbolic Logic

Year:

1988

Language:

english

File:

PDF, 293 KB

english, 1988

46

On the real exponential field with restricted analytic functions

Lou van den Dries, Chris Miller

Journal:

Israel Journal of Mathematics

Year:

1994

Language:

english

File:

PDF, 1.64 MB

english, 1994

47

Which Curves Over $Z$ have Points with Coordinates in a Discrete Ordered Ring?

Lou Van Den Dries

Journal:

Transactions of the American Mathematical Society

Year:

1981

Language:

english

File:

PDF, 1.11 MB

english, 1981

48

Definable Sets in Mann Pairs

van den Dries, Lou, Günaydin, Ayhan

Journal:

Communications in Algebra

Year:

2011

Language:

english

File:

PDF, 192 KB

english, 2011

49

Algebraic theories with definable Skolem functions

van den Dries, Lou

Journal:

Journal of Symbolic Logic

Year:

1984

Language:

english

File:

PDF, 475 KB

english, 1984

50

Mann pairs

van den Dries, Lou, Günaydın, Ayhan

Journal:

Transactions of the American Mathematical Society

Year:

2009

Language:

english

File:

PDF, 332 KB

english, 2009