Oscar Gonzalez

First Course in Continuum Mechanics (eBook, PDF)

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 17. Januar 2008
• Englisch
• ISBN-13: 9780511451010
• Artikelnr.: 38188733

Autorenporträt

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.

Inhaltsangabe

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.

Rezensionen

'... 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