Colloquium Publications 1950; 184 pp; softcover Volume: 33 ISBN10: 0821846388 ISBN13: 9780821846384 List Price: US$46 Member Price: US$36.80 Order Code: COLL/33.S
 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
