A First Course in Continuum Mechanics
1st Edition
Published on 3. December 2008
978-0-511-45101-0 (ISBN)
Description
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.
Reviews / Votes
'... 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 PhysicsMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
College/higher education
Illustrations
Worked examples or Exercises
File size
2,46 MB
ISBN-13
978-0-511-45101-0 (9780511451010)
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Schweitzer Classification
Other editions
Additional editions
Oscar Gonzalez | Andrew M. Stuart
A First Course in Continuum Mechanics
Book
01/2008
Cambridge University Press
€84.18
Article exhausted; check for reprint
Oscar Gonzalez | Andrew M. Stuart
A First Course in Continuum Mechanics
Book
01/2008
Cambridge University Press
€80.20
Shipment within 15-20 days
Persons
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 six prizes for his work in Applied Mathematics.
Content
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.
