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Open University Course Team Block 1 ISBN 13 : 9780749223076

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9780749223076: Block 1

Synopsis

This book contains 4 units of study that form the foundation of mathematical methods and fluid mechanics. Unit 1 - Properties of a fluid introduces the continuum model and many of the properties of a fluid, such as density, pressure and viscosity. The basic equation of fluid statics is formulated and used to find the pressure distribution in a liquid and to provide a model for the atmosphere. Unit 2 - Ordinary differential equations starts by showing how changes of variables (involving use of the Chain Rule) can be applied to solve certain non-constant-coefficient differential equations, and leads on to the topics of boundary-value and eigenvalue problems. It concludes with an introduction to the method of power-series for solving initial-value problems. Unit 3 - First-order partial differential equations extends the earlier version of the Chain Rule to cover a change of variables for functions of two variables, and shows how this leads to the method of characteristics for solving first-order partial differential equations. Unit 4 - Vector field theory relates line, surface and volume integrals through two important theorems Gauss theorem and Stokes theorem and formulates the equation of mass continuity for a fluid in motion.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

This book contains 4 units of study that form the foundation of mathematical methods and fluid mechanics. Unit 1 - Properties of a fluid introduces the continuum model and many of the properties of a fluid, such as density, pressure and viscosity. The basic equation of fluid statics is formulated and used to find the pressure distribution in a liquid and to provide a model for the atmosphere. Unit 2 - Ordinary differential equations starts by showing how changes of variables (involving use of the Chain Rule) can be applied to solve certain non-constant-coefficient differential equations, and leads on to the topics of boundary-value and eigenvalue problems. It concludes with an introduction to the method of power-series for solving initial-value problems. Unit 3 - First-order partial differential equations extends the earlier version of the Chain Rule to cover a change of variables for functions of two variables, and shows how this leads to the method of characteristics for solving first-order partial differential equations. Unit 4 - Vector field theory relates line, surface and volume integrals through two important theorems Gauss theorem and Stokes theorem and formulates the equation of mass continuity for a fluid in motion.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Open University Course Team
Edité par Open University Worldwide, 2009
ISBN 10 : 0749223073 ISBN 13 : 9780749223076
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Vendeur : WorldofBooks, Goring-By-Sea, WS, Royaume-Uni

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Paperback. Etat : Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. N° de réf. du vendeur GOR003857314

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EUR 62,99
Autre devise
Frais de port : EUR 6,44
De Royaume-Uni vers France
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