Mathematics Books Differential Algebra Books

Afternotes on Differential Algebra

Afternotes on Differential Algebra

Afternotes on Differential Algebra

This note covers the following topics: Conventions and Preliminaries, Ideals Defined by Triangular Sets are Unmixed, Regular Chains, Lazard’s Lemma, Rosenfeld’s Lemma, The Differential Nullstellensatz, Regular Differential Chains, Normal Forms, The RosenfeldGroebner Algorithm, The Henri-Michaelis-Menten Formula, Parameter Estimation.

Author(s):

s88 Pages
Similar Books
Notes on Differential Algebra by Reid Dale

Notes on Differential Algebra by Reid Dale

This PDF book covers the following topics related to Differential Algebra : Basic Differential Algebra, Derivations and Dual Numbers, Differential Ideals and Ritt Noetherianity, Characteristic Sets and the Partial Ritt-Raudenbush, Basic Differential Algebraic Geometry: Properties of the Kolchin Topology, Differentially Closed Fields, Differential Dimension Polynomials, Differential Galois Theory, Binding Groups and Internality, Pillay’s X-strongly-normal theory, Galois Theory of Linear Differential Equations, Algebraic D-Groups and Logarithmic Derivatives, Constrained Cohomology, The Galois Groupoid, Differential Algebraic Groups, Preliminaries from Model Theory.

s47 Pages
Differential Algebra cuny

Differential Algebra cuny

This PDF book covers the following topics related to Differential Algebra : Foundations of Differential Algebra, the Ring of Differential Polynomials and Its Ideals, Differential Algebraic Extensions, Differential Galois Theory, Linear Algebraic Groups, Liouvillian Extensions.

s41 Pages
Differential   algebra on lattice Green functions and Calabi Yau operators

Differential algebra on lattice Green functions and Calabi Yau operators

This note explains miscellaneous linear differential operators mostly associated with lattice Green functions in arbitrary dimensions, but also Calabi-Yau operators and order-seven operators corresponding to exceptional differential Galois groups.

s62 Pages
Asymptotic Differential Algebra

Asymptotic Differential Algebra

This note introduces both, state some of their basic properties, and explain connections to o-minimal structures. Also describe a common algebraic framework for these examples: the category of H-fields. This unified setting leads to a better understanding of Hardy fields and transseries from an algebraic and model-theoretic perspective.

s38 Pages

Advertisement