Contributions to the Study of the Equivalence Problem of Élie Cartan and Its Applications to Partial and Ordinary Differential Equations

Contributions to the Study of the Equivalence Problem of Élie Cartan and Its Applications to Partial and Ordinary Differential Equations PDF Author: Niky Kamran
Publisher:
ISBN:
Category : Differential equations
Languages : en
Pages : 138

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Symbolic and Algebraic Computation

Symbolic and Algebraic Computation PDF Author: Patrizia Gianni
Publisher: Springer Science & Business Media
ISBN: 9783540510840
Category : Computers
Languages : en
Pages : 564

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Book Description
The ISSAC'88 is the thirteenth conference in a sequence of international events started in 1966 thanks to the then established ACM Special Interest Group on Symbolic and Algebraic Manipulation (SIGSAM). For the first time the two annual conferences "International Symposium on Symbolic and Algebraic Computation" (ISSAC) and "International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes" (AAECC) have taken place as a Joint Conference in Rome, July 4-8, 1988. Twelve invited papers on subjects of common interest for the two conferences are included in the proceedings and divided between this volume and the preceding volume of Lecture Notes in Computer Science which is devoted to AAECC-6. This book contains contributions on the following topics: Symbolic, Algebraic and Analytical Algorithms, Automatic Theorem Proving, Automatic Programming, Computational Geometry, Problem Representation and Solution, Languages and Systems for Symbolic Computation, Applications to Sciences, Engineering and Education.

Symmetries and Overdetermined Systems of Partial Differential Equations

Symmetries and Overdetermined Systems of Partial Differential Equations PDF Author: Michael Eastwood
Publisher: Springer Science & Business Media
ISBN: 0387738312
Category : Mathematics
Languages : en
Pages : 565

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Book Description
This three-week summer program considered the symmetries preserving various natural geometric structures. There are two parts to the proceedings. The articles in the first part are expository but all contain significant new material. The articles in the second part are concerned with original research. All articles were thoroughly refereed and the range of interrelated work ensures that this will be an extremely useful collection.

Cartan's Equivalence Method and an Application to Second Order Evolution Equations

Cartan's Equivalence Method and an Application to Second Order Evolution Equations PDF Author: Roberto T. Murrillo
Publisher:
ISBN:
Category :
Languages : en
Pages : 182

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Computer Algebra In Physical Research: Memorial Volume For N N Govorun - Proceedings Of The Iv International Conference

Computer Algebra In Physical Research: Memorial Volume For N N Govorun - Proceedings Of The Iv International Conference PDF Author: V A Rostovtsev
Publisher: #N/A
ISBN: 9814556092
Category :
Languages : en
Pages : 467

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Book Description
Professor Nicholas N Govorun, corresponding member of the USSR Academy of Sciences, was the principal organizer of the precedent meetings held at Dubna (1979, 1983, 1985). Unfortunately, he passed away in 1989. This volume is to honor his support in Computer Algebra.This is perhaps the only meeting of the entire soviet union computer algebra community and foreign scientists. The meeting presented scientific results, plans for research facilities, and status reports of the basic areas of investigations. The fields covered include computer algebra systems and general algorithms as well as applied algorithms, programs and results in computer algebra applications (mainly in physics).

EUROCAL '87

EUROCAL '87 PDF Author: James H. Davenport
Publisher: Springer Science & Business Media
ISBN: 9783540515173
Category : Computers
Languages : en
Pages : 516

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Book Description
This is the sixth in a series of conference proceedings of international conferences on computer algebra held in Europe. All the preceding ones have also been published as Lecture Notes in Computer Science. They contain original research material not published elsewhere, and a few invited lectures summarising the state of the art. Computer algebra is the science of using computers to do algebraic calculations, rather than the purely arithmetic calculations which we all know computers can do. These calculations may be polynomial-like calculations - one thread of the conference was devoted to polynomial algorithms - or may relate to other areas of mathematics such as integration, the solution of differential equations, or geometry - a second thread was devoted to those topics. The calculations can be applied in a wide range of scientific and engineering subjects, and in branches of mathematics. Physics has benefitted especially from these calculations, and the proceedings contain many papers on this, and also papers on applications in computer aided design and robotics, to name but a few other applications. The third thread of the proceedings was devoted to these applications and to the computer algebra systems which perform these calculations.

Algebraic Methods in Physics

Algebraic Methods in Physics PDF Author: Yvan Saint-Aubin
Publisher: Springer Science & Business Media
ISBN: 146130119X
Category : Science
Languages : en
Pages : 268

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Book Description
This book pays tribute to two pioneers in the field of Mathematical physics, Jiri Patera and Pavel Winternitz of the CRM. Each has contributed more than forty years to the subject of mathematical physics, particularly to the study of algebraic methods.

Equivalence, Invariants and Symmetry

Equivalence, Invariants and Symmetry PDF Author: Peter J. Olver
Publisher: Cambridge University Press
ISBN: 9780521478113
Category : Mathematics
Languages : en
Pages : 546

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Book Description
Drawing on a wide range of mathematical disciplines, including geometry, analysis, applied mathematics and algebra, this book presents an innovative synthesis of methods used to study problems of equivalence and symmetry which arise in a variety of mathematical fields and physical applications. Systematic and constructive methods for solving equivalence problems and calculating symmetries are developed and applied to a wide variety of mathematical systems, including differential equations, variational problems, manifolds, Riemannian metrics, polynomials and differential operators. Particular emphasis is given to the construction and classification of invariants, and to the reductions of complicated objects to simple canonical forms. This book will be a valuable resource for students and researchers in geometry, analysis, algebra, mathematical physics and other related fields.

Inductive Approach to Cartan's Moving Frame Method with Applications to Classical Invariant Theory

Inductive Approach to Cartan's Moving Frame Method with Applications to Classical Invariant Theory PDF Author: Irina A. Kogan
Publisher:
ISBN:
Category :
Languages : en
Pages : 284

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Recent Developments In Gravitation - Proceedings Of The "Relativity Meeting – 89"

Recent Developments In Gravitation - Proceedings Of The Author: E Verdaguer
Publisher: World Scientific
ISBN: 9814611492
Category : Cargese, France
Languages : en
Pages : 446

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Book Description
This volume reviews some recent developments and new perspectives in classical and Quantum Gravity. The topics treated at a graduate level range from some new and old problems in General Relativity, algebraic computing, gravitational wave astronomy to some more speculative subjects as the early Universe, Quantum Gravity and Quantum Cosmology.