Differential Equations from the Algebraic Standpoint - Softcover

Joseph Fels Ritt

Softcover

ISBN 10: 0821846051 ISBN 13: 9780821846056

Publisher: American Mathematical Society, 1932

Synopsis

This book can be viewed as a first attempt to systematically develop an algebraic theory of nonlinear differential equations, both ordinary and partial. The main goal of the author was to construct a theory of elimination, which ``will reduce the existence problem for a finite or infinite system of algebraic differential equations to the application of the implicit function theorem taken with Cauchy's theorem in the ordinary case and Riquier's in the partial.'' In his 1934 review of the book, J. M. Thomas called it ``concise, readable, original, precise, and stimulating'', and his words still remain true. A more fundamental and complete account of further developments of the algebraic approach to differential equations is given in Ritt's treatise Differential Algebra, written almost 20 years after the present work (Colloquium Publications, Vol. 33, American Mathematical Society, 1950).

Edition details

• Publisher: American Mathematical Society
• Publication date: 1932
• Language: English
• ISBN 10: 0821846051
• ISBN 13: 9780821846056
• Binding: Paperback
• Number of pages: 172