Differential algebra
Author(s)
Bibliographic Information
Differential algebra
（Colloquium publications / American Mathematical Society, v. 33）
American Mathematical Society, 2008
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Note
Reprint. Originally published: New York : American Mathematical Society, 1950
Includes bibliographical references and index
Description and Table of Contents
Description
A gigantic task undertaken by J. F. Ritt and his collaborators in the 1930's was to give the classical theory of nonlinear differential equations, similar to the theory created by Emmy Noether and her school for algebraic equations and algebraic varities. The current book presents the results of 20 years of work on this problem. The book quickly became a classic, and thus far, it remains one of the most complete and valuable accounts of differential algebra and its applications.
Table of Contents
Differential polynomials and their ideals Algebraic differential manifolds Structure of differential polynomials Systems of algebraic equations Constructive methods Analytical considerations Intersections of algebraic differential manifolds Riquier's existence theorem for orthonomic systems Partial differential algebra Questions for investigation Bibliography Index.
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