A First Course in Continuum Mechanics - Oscar Gonzalez, Andrew M. Stuart

A First Course in Continuum Mechanics

Buch | Softcover
414 Seiten
2008
Cambridge University Press (Verlag)
978-0-521-71424-2 (ISBN)
62,30 inkl. MwSt
Thoroughly class-tested in courses at Stanford and Warwick, this text is suitable for applied mathematicians and engineers and can be used with courses or for self-study. Each chapter contains a wealth of exercises, with solutions to odd-numbered questions. A complete solutions manual is available to instructors upon request.
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.

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.

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.

Erscheint lt. Verlag 17.1.2008
Reihe/Serie Cambridge Texts in Applied Mathematics ; Vol.42
Zusatzinfo Worked examples or Exercises
Verlagsort Cambridge
Sprache englisch
Maße 152 x 229 mm
Gewicht 610 g
Themenwelt Naturwissenschaften Physik / Astronomie Mechanik
Naturwissenschaften Physik / Astronomie Strömungsmechanik
Technik Maschinenbau
ISBN-10 0-521-71424-9 / 0521714249
ISBN-13 978-0-521-71424-2 / 9780521714242
Zustand Neuware
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