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E-book

Title Continuum modeling in the physical sciences / E. van Groesen, Jaap Molenaar
Published Philadelphia : Society for Industrial and Applied Mathematics, ©2007

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Description 1 online resource (x, 228 pages) : illustrations
Series Mathematical modeling and computation
Mathematical modeling and computation.
Contents Preface; 1. Dimensional analysis and acaling; 2. Conservation principles and constitutive relations; 3. Basic concepts; 4. Stability and robustness; 5. Variational modeling; 6. Advanced models; Bibliography; Index
Summary Mathematical modeling - the ability to apply mathematical concepts and techniques to real-life systems has expanded considerably over the last decades, making it impossible to cover all of its aspects in one course or textbook. Continuum Modeling in the Physical Sciences provides an extensive exposition of the general principles and methods of this growing field with a focus on applications in the natural sciences. The authors present a thorough treatment of mathematical modeling from the elementary level to more advanced concepts. Most of the chapters are devoted to a discussion of central issues such as dimensional analysis, conservation principles, balance laws, constitutive relations, stability, robustness, and variational methods, and are accompanied by numerous real-life examples. Readers will benefit from the exercises placed throughout the text and the challenging problems sections found at the ends of several chapters
Bibliography Includes bibliographical references (pages 221-223) and index
Notes English
Print version record
Subject Mathematical physics -- Mathematical models
Mechanics -- Mathematical models
Mathematical physics -- Mathematical models
Mechanics -- Mathematical models
Mathematische Physik
Mathematisches Modell
Naturwissenschaften
Mechanik
Form Electronic book
Author Groesen, E. W. C. van.
Molenaar, J.
ISBN 9781613443231
1613443234