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.

'… 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

• 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.