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Selected Works of Ellis Kolchin with Commentary by E.R. Kolchin

Selected Works of Ellis Kolchin with Commentary

by E.R. Kolchin
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Book cover type: Hardcover
  • ISBN13: 9780821805428
  • Binding: Hardcover
  • Subject: N/A
  • Publisher: American Mathematical Society
  • Publisher Imprint: American Mathematical Society
  • Publication Date:
  • Pages: 639
  • Original Price: GBP 164.0
  • Language: English
  • Edition: N/A
  • Item Weight: 1334 grams
  • BISAC Subject(s): Algebra / General and Differential Equations / General

The work of Joseph Fels Ritt and Ellis Kolchin in differential algebra paved the way for exciting new applications in constructive symbolic computation, differential Galois theory, the model theory of fields, and Diophantine geometry. This volume assembles Kolchin's mathematical papers, contributing solidly to the archive on construction of modern differential algebra. This collection of Kolchin's comprehensive papers is an aid to the student of differential algebra. In 1910, Ritt created a theory of algebraic differential equations modelled not on the existing transcendental methods of Lie, but rather on the new algebra being developed by E. Noether and B. van der Waerden. Building on Ritt's foundation, and deeply influenced by Weil and Chevalley, Kolchin opened up Ritt theory to modern algebraic geometry. In so doing, he led differential geometry in a new direction. By creating differential algebraic geometry and the theory of differential algebraic groups, Kolchin provided the foundation for a new geometry that has led to both a striking and an original approach to arithmetic algebraic geomet.

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