A First Course in Continuum Mechanics

Oscar Gonzalez , Andrew M. Stuart

$84.95

Paperback

In stock
Ready to ship

QTY:

English

Cambridge University Press
17 January 2008

Mathematics & Sciences; Classical mechanics; Fluid mechanics; Mechanics of fluids

Series: Cambridge Texts in Applied Mathematics

A concise account of various classic theories of fluids and solids, this book is for courses in continuum mechanics for graduate students and advanced undergraduates. Thoroughly class-tested in courses at Stanford University and the University of Warwick, it is suitable for both applied mathematicians and engineers. The only prerequisites are an introductory undergraduate knowledge of basic linear algebra and differential equations. Unlike most existing works at this level, this book covers both isothermal and thermal theories. The theories are derived in a unified manner from the fundamental balance laws of continuum mechanics. Intended both for classroom use and for self-study, each chapter contains a wealth of exercises, with fully worked solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request. Short bibliographies appear at the end of each chapter, pointing to material which underpins or expands upon the material discussed.

By: Oscar Gonzalez , Andrew M. Stuart
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: No. 42
Dimensions: Height: 229mm, Width: 152mm, Spine: 23mm
Weight: 610g
ISBN: 9780521714242
ISBN 10: 0521714249
Series: Cambridge Texts in Applied Mathematics
Pages: 416
Publication Date: 17 January 2008
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Paperback
Publisher's Status: Active

Preface; 1. Tensor algebra; 2. Tensor calculus; 3. Continuum mass and force concepts; 4. Kinematics; 5. Balance laws; 6. Isothermal fluid mechanics; 7. Isothermal solid mechanics; 8. Thermal fluid mechanics; 9. Thermal solid mechanics; Answers to selected problems; Bibliography; Index.

Oscar Gonzalez is an Associate Professor of Mathematics at the University of Texas. His research interests cover computational and applied mathematical problems related to the large-scale deformations of thin rods and ribbons, and more general three-dimensional bodies. He has contributed articles to numerous journals across mathematics, engineering and chemistry. His current research efforts are directed toward understanding the mechanical properties of DNA at various length scales. Andrew Stuart is Professor of Mathematics at the University of Warwick. His general research interests cover computational stochastic processes and dynamical systems and his current research efforts are directed mainly towards problems at the interface of applied mathematics and statistics. He has contributed articles to numerous journals across mathematics, engineering and physics and is the recipient of 6 prizes for his work in Applied Mathematics.

Reviews for A First Course in Continuum Mechanics

'... some of the characteristics of an excellent study guide are clearly evident here - lucid exposition, copious exercises (many with complete worked solutions), and an obvious attention to detail - and the fact that the text has been honed at the chalk faces of Stanford and Warwick Universities provides a strong indication that were one charged with teaching the fundamentals of continuum mechanics to graduate or advanced undergraduate students this would be an excellent book to use ... I am confident in my assessment that this is an exceptional book ... Having read through Gonzalez and Stuart's book, ... I have deepened my knowledge considerably. I can certainly envisage turning to this book whenever the applicability of the equations I am studying is an issue ... This book forms part of the highly regarded Cambridge Texts in Applied Mathematics and it can only serve to enhance that series' reputation.' Contemporary Physics