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Author: Joseph Fels Ritt
Publisher: American Mathematical Soc.
ISBN: 0821846051
Category : Mathematics
Languages : en
Pages : 184
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Book Description
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).
Author: Joseph Fels Ritt
Publisher: American Mathematical Soc.
ISBN: 0821846051
Category : Mathematics
Languages : en
Pages : 184
Get Book Here
Book Description
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).
Author: Fels Ritt Joseph
Publisher: Andesite Press
ISBN: 9781298614735
Category :
Languages : en
Pages : 198
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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Author: Joseph Fels Ritt
Publisher:
ISBN: 9780598918529
Category :
Languages : en
Pages : 182
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Book Description
Author: Fels Ritt Joseph.
Publisher: Nabu Press
ISBN: 9781294725305
Category :
Languages : en
Pages : 198
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Book Description
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Author: Alexandru Buium
Publisher: American Mathematical Soc.
ISBN: 0821838628
Category : Mathematics
Languages : en
Pages : 346
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Book Description
For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.
Author: Dongming Wang
Publisher: Springer Science & Business Media
ISBN: 3764374292
Category : Mathematics
Languages : en
Pages : 374
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Book Description
This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.
Author: Moulay Barkatou
Publisher: Springer
ISBN: 3642544797
Category : Computers
Languages : en
Pages : 210
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Book Description
This book constitutes the proceedings of the 5th International Meeting on Algebraic and Algorithmic Aspects of Differential and Integral Operators, AADIOS 2012, held at the Applications of Computer Algebra Conference in Sofia, Bulgaria, on June 25-28, 2012. The total of 9 papers presented in this volume consists of 2 invited papers and 7 regular papers which were carefully reviewed and selected from 13 submissions. The topics of interest are: symbolic computation for operator algebras, factorization of differential/integral operators, linear boundary problems and green's operators, initial value problems for differential equations, symbolic integration and differential galois theory, symbolic operator calculi, algorithmic D-module theory, rota-baxter algebra, differential algebra, as well as discrete analogs and software aspects of the above.
Author: M. Matsuda
Publisher: Springer
ISBN: 3540393110
Category : Mathematics
Languages : en
Pages : 118
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Book Description
Author: Joseph Fels Ritt
Publisher: American Mathematical Soc.
ISBN: 0821846388
Category : Mathematics
Languages : en
Pages : 194
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Book Description
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.
Author:
Publisher: Academic Press
ISBN: 0080873693
Category : Mathematics
Languages : en
Pages : 469
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Book Description
Differential Algebra & Algebraic Groups
