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03567nam a2200541 4500 |
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978-3-319-71655-8 |
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20191025151358.0 |
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180403s2017 gw | s |||| 0|eng d |
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|a 9783319716558
|9 978-3-319-71655-8
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|a 10.1007/978-3-319-71655-8
|2 doi
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|a QA431
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|a 515.625
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|a Krasil'shchik, Joseph.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a The Symbolic Computation of Integrability Structures for Partial Differential Equations
|h [electronic resource] /
|c by Joseph Krasil'shchik, Alexander Verbovetsky, Raffaele Vitolo.
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|a 1st ed. 2017.
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|a Cham :
|b Springer International Publishing :
|b Imprint: Springer,
|c 2017.
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|a XV, 263 p. 28 illus.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
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|2 rdamedia
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|a online resource
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|a text file
|b PDF
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|a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
|x 0943-853X
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|a Introduction -- Computational problems in the geometry of PDEs -- Old and new Reduce software for integrability of PDEs -- Internal coordinates and total derivatives -- Conservation laws and nonlocal variables -- Cosymmetries -- Symmetries -- The tangent covering -- Recursion operators for symmetries -- Variational symplectic structures -- Cotangent covering -- Variational Poisson structures -- Recursion operators for cosymmetries -- The Plebanski equation -- Discussion.
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|a This is the first book devoted to the task of computing integrability structures by computer. The symbolic computation of integrability operator is a computationally hard problem and the book covers a huge number of situations through tutorials. The mathematical part of the book is a new approach to integrability structures that allows to treat all of them in a unified way. The software is an official package of Reduce. Reduce is free software, so everybody can download it and make experiments using the programs available at our website.
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|a Difference equations.
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|a Functional equations.
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|a Computer science-Mathematics.
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|a Difference and Functional Equations.
|0 http://scigraph.springernature.com/things/product-market-codes/M12031
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|a Math Applications in Computer Science.
|0 http://scigraph.springernature.com/things/product-market-codes/I17044
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|a Symbolic and Algebraic Manipulation.
|0 http://scigraph.springernature.com/things/product-market-codes/I17052
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1 |
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|a Verbovetsky, Alexander.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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1 |
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|a Vitolo, Raffaele.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783319716541
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|i Printed edition:
|z 9783319716565
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|i Printed edition:
|z 9783030100889
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830 |
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|a Texts & Monographs in Symbolic Computation, A Series of the Research Institute for Symbolic Computation, Johannes Kepler University, Linz, Austria,
|x 0943-853X
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4 |
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|u https://doi.org/10.1007/978-3-319-71655-8
|z Full Text via HEAL-Link
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|a ZDB-2-SCS
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|a Computer Science (Springer-11645)
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