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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Symmetry Analysis of Differential Equations with Mathematica®
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Symmetry Analysis of Differential Equations with Mathematica®
Gerd Baumann (Broschiert, Englisch)
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Beschreibung
The purpose of this book is to provide the reader with a comprehensive introduction to the applications of symmetry analysis to ordinary and partial differential equations. The theoretical background of physics is illustrated by modem methods of computer algebra. The presentation of the material in the book is based on Mathematica 3.0 note books. The entire printed version of this book is… available on the accompanying CD. The text is presented in such a way that the reader can interact with the calculations and experiment with the models and methods. Also contained on the CD is a package called MathLie-in honor of Sophus Lie---carrying out the calculations automatically. The application of symmetry analysis to problems from physics, mathematics, and en gineering is demonstrated by many examples. The study of symmetries of differential equations is an old subject. Thanks to Sophus Lie we today have available to us important information on the behavior of differential equations. Symmetries can be used to find exact solutions. Symmetries can be applied to verify and to develop numerical schemes. They can provide conservation laws for differential equations. The theory presented here is based on Lie, containing improve ments and generalizations made by later mathematicians who rediscovered and used Lie's work. The presentation of Lie's theory in connection with Mathematica is novel and vitalizes an old theory. The extensive symbolic calculations necessary under Lie's theory are supported by MathLie, a package written in Mathematica. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
20.01.2014
Sprache
Englisch
EAN
9781461274186
Herausgeber
Springer US
Sonderedition
Nein
Autor
Gerd Baumann
Seitenanzahl
521
Einbandart
Broschiert
Schlagwörter
Mathematica, Potential, algebra, calculus, computer algebra, ordinary differential equation, partial differential equation
Thema-Inhalt
PBF - Algebra
PBKS - Numerische Mathematik
PHU - Mathematische Physik
PNRP - Quanten- und theoretische Chemie
TBJ - Mathematik für Ingenieure
Höhe
244 mm
Breite
17 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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