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＜電子ブック＞
Fluid Dynamics and Linear Elasticity : A First Course in Continuum Mechanics / by Michael S. Ruderman
(Springer Undergraduate Mathematics Series. ISSN:21974144)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XIII, 291 p. 86 illus., 3 illus. in color : online resource
著者標目	*Ruderman, Michael S author SpringerLink (Online service)
件　名	LCSH:Mathematical physics LCSH:Mechanics, Applied LCSH:Continuum mechanics LCSH:Acoustics FREE:Mathematical Physics FREE:Engineering Mechanics FREE:Continuum Mechanics FREE:Acoustics
一般注記	1 Introduction -- 2 Mathematical Preliminaries -- 3 Continuum Kinematics -- 4 Continuum Dynamics -- 5 Ideal Incompressible Fluids -- 6 Linear Elasticity -- 7 Viscous Incompressible Fluids -- 8 Ideal Barotropic Fluids -- 9 Non-ideal Compressible Fluids -- A Solutions to Problems -- Index This book provides a concise introduction to continuum mechanics, with a particular emphasis on fluid dynamics, suitable for upper undergraduate students in applied mathematics and related subjects. Starting with a preliminary chapter on tensors, the main topic of the book begins in earnest with the chapters on continuum kinematics and dynamics. Following chapters cover linear elasticity and both incompressible and compressible fluids. Special topics of note include nonlinear acoustics and the theory of motion of viscous thermal conducting compressible fluids. Based on an undergraduate course taught for over a decade, this textbook assumes only familiarity with multivariate calculus and linear algebra. It includes many exercises with solutions and can serve as textbook for lecture courses at the undergraduate and masters level HTTP:URL=https://doi.org/10.1007/978-3-030-19297-6

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