Continuum Modeling in the Physical Sciences (Monographs on Mathematical Modeling and Computation)

Description

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.

Book Description
This book provides an extensive exposition of the general principles and methods of the growing field of mathematical modeling, with a focus on applications in the natural sciences. The book covers central issues such as dimensional analysis, conservation principles, and balance laws, and provides numerous real-life examples.

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