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Fluid Dynamics and Linear Elasticity...
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SpringerLink (Online service)
Fluid Dynamics and Linear Elasticity = A First Course in Continuum Mechanics /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Fluid Dynamics and Linear Elasticity/ by Michael S. Ruderman.
Reminder of title:
A First Course in Continuum Mechanics /
Author:
Ruderman, Michael S.
Description:
XIII, 291 p. 86 illus., 3 illus. in color.online resource. :
Contained By:
Springer Nature eBook
Subject:
Mathematical physics. -
Online resource:
https://doi.org/10.1007/978-3-030-19297-6
ISBN:
9783030192976
Fluid Dynamics and Linear Elasticity = A First Course in Continuum Mechanics /
Ruderman, Michael S.
Fluid Dynamics and Linear Elasticity
A First Course in Continuum Mechanics /[electronic resource] :by Michael S. Ruderman. - 1st ed. 2019. - XIII, 291 p. 86 illus., 3 illus. in color.online resource. - Springer Undergraduate Mathematics Series,1615-2085. - Springer Undergraduate Mathematics Series,.
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.
ISBN: 9783030192976
Standard No.: 10.1007/978-3-030-19297-6doiSubjects--Topical Terms:
527831
Mathematical physics.
LC Class. No.: QC19.2-20.85
Dewey Class. No.: 519
Fluid Dynamics and Linear Elasticity = A First Course in Continuum Mechanics /
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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.
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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.
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