Differential algebra and algebraic groups
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Differential algebra and algebraic groups

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Published by Academic Press in New York .
Written in English

Subjects:

  • Differential algebra.,
  • Linear algebraic groups.

Book details:

Edition Notes

Statement[by] E. R. Kolchin.
SeriesPure and applied mathematics; a series of monographs and textbooks ;, v. 54, Pure and applied mathematics (Academic Press) ;, 54.
Classifications
LC ClassificationsQA3 .P8 vol. 54, QA247.4 .P8 vol. 54
The Physical Object
Paginationxvii, 446 p.
Number of Pages446
ID Numbers
Open LibraryOL5297239M
LC Control Number72077346

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Kaplansky remains, I think, the best introduction to the basic algebra in rings with differential operators. There is also Kolchin's book "Differential Algebra and Algebraic Groups" although the latter part of this book is an exposition of algebraic groups Kolchin developed that is hard to follow. The first three chapters are useful though. Get this from a library! Differential algebra and algebraic groups. [E R Kolchin] -- Historically, algebra grew out of the study of algebraic equations with numerical coefficients. Differential algebra sprang from the classical study of algebraic differential equations with. Find helpful customer reviews and review ratings for Differential Algebra at Read honest and unbiased product reviews from our users.4/5. COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.

Differential Algebraic Topology. This book presents some basic concepts and results from algebraic topology. Topics covered includes: Smooth manifolds revisited, Stratifolds, Stratifolds with boundary: c-stratifolds, The Mayer-Vietoris sequence and homology groups of spheres, Brouwer’s fixed point theorem, separation and invariance of dimension, Integral homology and the mapping degree, A. In mathematics, a differential algebraic group is a differential algebraic variety with a compatible group structure. Differential algebraic groups were introduced by Cassidy ().. References. Cassidy, Phyllis Joan (), "Differential algebraic groups", Amer. J. Math., –, doi/, JSTOR , MR Kolchin, E. R. (), Differential algebraic groups, Pure. Differential algebra and algebraic groups | Ellis Robert Kolchin | download | B–OK. Download books for free. Find books. Differential algebra. This book covers the following topics: differential polynomial and their ideals, algebraic differential manifolds, structure of differential polynomials, systems of algebraic equations, constructive method, intersections of algebraic differential manifolds, Riquier's existence theorem for orthonomic system.

The first book I read on algebraic groups was An Introduction to Algebraic Geometry and Algebraic Groups by Meinolf Geck. As I recall, the book includes a lot of examples about the classical matrix groups, and gives elementary accounts of such things like computing the tangent space at the identity to get the Lie algebra. Algebraic groups play much the same role for algebraists as Lie groups play for analysts. This book is the first comprehensive introduction to the theory of algebraic group schemes over fields that includes the structure theory of semisimple algebraic groups, and is written in Cited by:   The differential rational representation algebra on a linear differential algebraic group, J. Algebra 37(), – MathSciNet CrossRef Google Scholar by:   A First Book in Algebra, by Wallace C. Boyden Applications of Lie Groups to Differential Equations,Peter J. Olver. Linear Algebra,Werner Greub. Author: Kevin de Asis.