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Differential Algebra
J. F. Ritt
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Colloquium Publications
1950; 184 pp; softcover
Volume: 33
ISBN-10: 0-8218-4638-8
ISBN-13: 978-0-8218-4638-4
List Price: US$43
Member Price: US$34.40
Order Code: COLL/33.S
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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 varieties. 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.

Readership

Graduate students and research mathematicians interested in 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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