Differential Equations from the Algebraic Standpoint is popular PDF and ePub book, written by Joseph Fels Ritt in 1932-12-31, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Differential Equations from the Algebraic Standpoint can be Read Online from any device for your convenience.
Differential Equations from the Algebraic Standpoint Book PDF Summary
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).
Detail Book of Differential Equations from the Algebraic Standpoint PDF
- Author : Joseph Fels Ritt
- Release : 31 December 1932
- Publisher : American Mathematical Soc.
- ISBN : 9780821846056
- Genre : Mathematics
- Total Page : 184 pages
- Language : English
- PDF File Size : 14,8 Mb
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