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Springer Undergraduate Mathematics Series

Fluid Dynamics and Linear Elasticity

A First Course in Continuum Mechanics

Authors: Ruderman, Michael S.

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  • Suitable for undergraduate courses in continuum mechanics or fluid dynamics
  • Provides an introduction to nonlinear acoustics and theory of nonlinear wave propagation in gases
  • Includes almost 80 exercises with solutions
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eBook 29,74 €
price for Spain (gross)
  • ISBN 978-3-030-19297-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 36,39 €
price for Spain (gross)
  • ISBN 978-3-030-19296-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this Textbook

​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.

About the authors

Michael S. Ruderman is Professor of Applied Mathematics at the School of Mathematics and Statistics of the University of Sheffield. His main scientific interest is in hydrodynamic and hydromagnetic wave propagation in the solar and stellar atmospheres. His main achievements are in the field of linear and nonlinear hydromagnetic wave propagation in ionised gases.

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 1-4

    Ruderman, Prof. Michael S.

  • Mathematical Preliminaries

    Pages 5-37

    Ruderman, Prof. Michael S.

  • Kinematics of Continuum

    Pages 39-64

    Ruderman, Prof. Michael S.

  • Dynamics of Continuum

    Pages 65-79

    Ruderman, Prof. Michael S.

  • Ideal Incompressible Fluids

    Pages 81-98

    Ruderman, Prof. Michael S.

Buy this book

eBook 29,74 €
price for Spain (gross)
  • ISBN 978-3-030-19297-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 36,39 €
price for Spain (gross)
  • ISBN 978-3-030-19296-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Fluid Dynamics and Linear Elasticity
Book Subtitle
A First Course in Continuum Mechanics
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-19297-6
DOI
10.1007/978-3-030-19297-6
Softcover ISBN
978-3-030-19296-9
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XIII, 291
Number of Illustrations
83 b/w illustrations, 3 illustrations in colour
Topics