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by Erling Ruud
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by Theodore A. Cheney
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by Bil Keane
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by Sir Arthur Conan Doyle
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by Edgar Rice Burroughs
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Pfaffian Systems, k-Symplectic Systems
by A. Awane, M. Goze
Product Group: Book
Publisher: Springer (2000-06-30)
ISBN: 0792363736
EAN: 9780792363736
Dewy Decimal #: 516.36
Hardcover: 260 pages
Edition: 1
SKU: mon0000042581
Condition: New
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Editorial Reviews
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Product Description
The geometrical view of mechanics is based on the study of certain exterior systems, the most classical of which are Pfaffian systems. In this book, we present the classification theorems (Frobenius, Darboux) and the local classification of Pfaffian systems of five variables, following Cartan. We also present a new class of exterior systems, called k-symplectic systems, generalizing the notion of symplectic form. These systems permit us to write in the language of exterior forms the equations proposed by Nambu for a model of statistical mechanics. Audience: This book is aimed at graduate students and at research workers in the field of mathematics, differential geometry, statistical mechanics, mathematics of physics and Lie algebras.
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Customer Reviews
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An extremely weak book
Rating  (1)
Date: 2003-10-16
0 out of 1 customers found this reveiw helpful
This book intends to give new insights of Nambu mechanics, but up to some calculations in differential forms (in sense of Cartan, but were prolongations and other fundamental topics are not treated), authors do not provide any sustainable physical result. It seems obvious that they are far from having expertise on physics. There is no mention to multibrackets in this book, which is the well known technique to attack the problem.
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