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Fluid Dynamics and Linear Elasticity : a First Course in Continuum Mechanics

Author: Michael S Ruderman
Publisher: Cham : Springer International Publishing, 2019
Series: Springer undergraduate mathematics series
Edition/Format:   eBook : Document : English : 1st ed. 2019View all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Ruderman, Michael S.
Fluid Dynamics and Linear Elasticity : A First Course in Continuum Mechanics.
Cham : Springer International Publishing AG, ©2019
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Michael S Ruderman
ISBN: 9783030192976 3030192970
OCLC Number: 1110389628
Description: 1 online resource (XIII, 291 pages 86 illustrations, 3 illustrations in color.)
Contents: 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.
Series Title: Springer undergraduate mathematics series
Responsibility: by Michael S. Ruderman.

Abstract:

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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