Continuum Modeling in the Physical Sciences
By addebook • Nov 15th, 2008 • Category: Mathematics
Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)
by E. van Groesen and Jaap Molenaar
Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)
By E. van Groesen and Jaap Molenaar
Publisher: Society for Industrial and Applied Mathematics, SIAM
Number Of Pages: 228
Publication Date: 2007-03-19
ISBN-10 / ASIN: 089871625X
ISBN-13 / EAN: 9780898716252
Binding: Paperback
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. The last chapter is devoted to elaborated case studies in polymer dynamics, fiber spinning, water waves, and waveguide optics.
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