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dc.contributor.authorJoseph Fels Ritt
dc.date.accessioned2016-02-19T16:08:10Z
dc.date.available2016-02-19T16:08:10Z
dc.date.issued1932
dc.identifier.isbn9780821846056,0821846051
dc.identifier.issn
dc.identifier.urihttp://ir.nmu.org.ua/handle/GenofondUA/7194
dc.description.abstractThis 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).
dc.language.isoEnglish
dc.publisherAmerican Mathematical Society
dc.subjectМатематика
dc.subjectMathematics
dc.subject.ddc
dc.subject.lcc
dc.titleDifferential Equations from the Algebraic Standpoint
dc.typeother
dc.identifier.aichTHWP7V4KNQP62MK7M3NT4FEDMOQXGHVY
dc.identifier.crc3211D5A106
dc.identifier.doi
dc.identifier.edonkeyA63540F725A01976964242149A4A95A7
dc.identifier.googlebookid
dc.identifier.openlibraryidOL11420302M
dc.identifier.udk
dc.identifier.bbk
dc.identifier.libgenid3829
dc.identifier.md540458AA9F6904A085780AC93DFB491E2
dc.identifier.sha1XB4DPCVGBE6NGU5ANPDGYCA4SPUQNUUF
dc.identifier.tthDCZIILBWJRXORHKXP54P4KZJISHTW3KN6JUM2TI


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