The selected works of Ellis Kolchin with commentary /
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| Author / Creator: | Kolchin, E. R. (Ellis Robert), 1916- |
|---|---|
| Uniform title: | Works. Selections. 1999 |
| Imprint: | Providence, R.I. : American Mathematical Society, c1999. |
| Description: | xiii, 639 p. : ill. ; 27 cm. |
| Language: | English |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/3709682 |
Table of Contents:
- Picard-Vessiot theory of partial differential fields
- The notion of dimension in the theory of algebraic differential equations
- Part I. The Papers of Ellis Kolchin: On certain ideals of differential polynomials
- On the basis theorem for infinite systems of differential polynomials
- On the exponents of differential ideals
- On the basis theorem for differential systems
- Extensions of differential fields
- I. Extensions of differential fields
- II. Algebraic matric groups
- The Picard-Vessiot theory of homogeneous linear ordinary differential equations
- Extensions of differential fields
- III. Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
- On certain concepts in the theory of algebraic matric groups
- Existence theorems connected with the Picard-Vessiot theory of homogeneous linear ordinary differential equations
- Algebraic groups and differential equations
- Two proofs of a theorem on algebraic groups
- Picard-Vessiot theory of partial differential fields
- Galois theory of differential fields Differential fields and group varieties (First lecture)
- Differential fields and group varieties (Second lecture)
- On the Galois theory of differential fields
- Algebraic groups and the Galois theory of differential fields
- Rational approximation to the solutions of algebraic differential equations
- Existence of invariant bases Abelian extensions of differential fields
- Le theoreme de la base finie pour les polynomes differentiels
- The notion of dimension in the theory of algebraic differential equations
- Singular solutions of algebraic differential equations and a lemma of Arnold Shapiro
- Some problems in differential algebra Algebraic groups and algebraic dependence
- Differential polynomials and strongly normal extensions
- Constrained extensions of differential fields
- Differential equations in a projective space and linear dependence over a projective variety
- Differential algebraic groups Differential algebraic structures
- On universal extensions of differential fields
- Differential algebraic groups
- A problem on differential polynomials
- Painleve transcendent
- Part II. Commentary: Algebraic groups and Galois theory in the work of Ellis R. Kolchin
- Direct and inverse problems in differential Galois theory
- Les corps differentiellement clos, compagnons de route de la theorie des modeles
- Differential algebraic geometry and differential algebraic groups: From algebraic differential equation to Diophantine geometry
