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Differential and Difference Dimension Polynomials (Hardcover, 1999 ed.) Loot Price: R3,130
Discovery Miles 31 300
Differential and Difference Dimension Polynomials (Hardcover, 1999 ed.): Alexander V. Mikhalev, A.B. Levin, E.V. Pankratiev,...

Differential and Difference Dimension Polynomials (Hardcover, 1999 ed.)

Alexander V. Mikhalev, A.B. Levin, E.V. Pankratiev, M.V. Kondratieva

Series: Mathematics and Its Applications, 461

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Loot Price R3,130 Discovery Miles 31 300 | Repayment Terms: R293 pm x 12*

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This book is the first monograph wholly devoted to the investigation of differential and difference dimension theory. The differential dimension polynomial describes in exact terms the degree of freedom of a dynamic system as well as the number of arbitrary constants in the general solution of a system of algebraic differential equations.

Difference algebra arises from the study of algebraic difference equations and therefore bears a considerable resemblance to its differential counterpart. Difference algebra was developed in the same period as differential algebra and it has the same founder, J. Ritt. It grew to a mathematical area with its own ideas and methods mainly due to the work of R. Cohn, who raised difference algebra to the same level as differential algebra. The relatively new science of computer algebra has given strong impulses to the theory of dimension polynomials, now that packages such as MAPLE enable the solution of many problems which cannot be solved otherwise. Applications of differential and difference dimension theory can be found in many fields of mathematics, as well as in theoretical physics, system theory and other areas of science.

Audience: This book will be of interest to researchers and graduate students whose work involves differential and difference equations, algebra and number theory, partial differential equations, combinatorics and mathematical physics.

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 461
Release date: 2001
First published: 1999
Authors: Alexander V. Mikhalev • A.B. Levin • E.V. Pankratiev • M.V. Kondratieva
Dimensions: 235 x 155 x 25mm (L x W x T)
Format: Hardcover
Pages: 422
Edition: 1999 ed.
ISBN-13: 978-0-7923-5484-0
Categories: Books > Science & Mathematics > Mathematics > Algebra > General
Books > Science & Mathematics > Mathematics > Number theory > General
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LSN: 0-7923-5484-2
Barcode: 9780792354840

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