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Differential Equations from the Algebraic Standpoint

Differential Equations from the Algebraic Standpoint
Author: Joseph Fels Ritt
Publisher: American Mathematical Soc.
Total Pages: 184
Release: 1932-12-31
Genre: Mathematics
ISBN: 0821846051

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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).


Differential Equations from the Algebraic Standpoint

Differential Equations from the Algebraic Standpoint
Author: Fels Ritt Joseph
Publisher: Andesite Press
Total Pages: 198
Release: 2015-08-09
Genre:
ISBN: 9781298614735

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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.


Differential Equations from the Algebraic Standpoint - Primary Source Edition

Differential Equations from the Algebraic Standpoint - Primary Source Edition
Author: Fels Ritt Joseph.
Publisher: Nabu Press
Total Pages: 198
Release: 2014-02
Genre:
ISBN: 9781294725305

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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.


Arithmetic Differential Equations

Arithmetic Differential Equations
Author: Alexandru Buium
Publisher: American Mathematical Soc.
Total Pages: 346
Release: 2005
Genre: Mathematics
ISBN: 0821838628

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For most of the book the only prerequisites are the basic facts of algebraic geometry and number theory."--BOOK JACKET.


Differential Equations with Symbolic Computation

Differential Equations with Symbolic Computation
Author: Dongming Wang
Publisher: Springer Science & Business Media
Total Pages: 374
Release: 2006-03-16
Genre: Mathematics
ISBN: 3764374292

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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.


Differential Algebra

Differential Algebra
Author: Joseph Fels Ritt
Publisher: American Mathematical Soc.
Total Pages: 194
Release: 1950-12-31
Genre: Mathematics
ISBN: 0821846388

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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.


Differential Algebra & Algebraic Groups

Differential Algebra & Algebraic Groups
Author:
Publisher: Academic Press
Total Pages: 469
Release: 1973-06-15
Genre: Mathematics
ISBN: 0080873693

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Differential Algebra & Algebraic Groups


Algebraic and Algorithmic Aspects of Differential and Integral Operators

Algebraic and Algorithmic Aspects of Differential and Integral Operators
Author: Moulay Barkatou
Publisher: Springer
Total Pages: 210
Release: 2014-02-25
Genre: Computers
ISBN: 3642544797

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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.