Transcendental Representations with Applications to Solids and Fluids

Luis Manuel Braga da Costa Campos

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April 4, 2012 by CRC Press
Professional - 898 Pages - 117 B/W Illustrations
ISBN 9781439834312 - CAT# K11546
Series: Mathematics and Physics for Science and Technology

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Features

    • Provides mathematical models of physical phenomena and engineering processes particularly relevant in aerospace and mechanical engineering
    • Unifies interdisciplinary topics of physics, mathematics, and engineering
    • Explores the interplay between physical laws and mathematical methods as a basis for modeling natural phenomena and engineering devices
    • Includes examples of applications with interpretation of results and discussion of assumptions and their consequences
    • Enables readers to construct mathematical-physical models suited to new observations or novel engineering devices
    • Contains many illustrations, tables, and diagrams that clarify the links between topics

      Summary

      Building on the author’s previous book in the series, Complex Analysis with Applications to Flows and Fields (CRC Press, 2010), Transcendental Representations with Applications to Solids and Fluids focuses on four infinite representations: series expansions, series of fractions for meromorphic functions, infinite products for functions with infinitely many zeros, and continued fractions as alternative representations. This book also continues the application of complex functions to more classes of fields, including incompressible rotational flows, compressible irrotational flows, unsteady flows, rotating flows, surface tension and capillarity, deflection of membranes under load, torsion of rods by torques, plane elasticity, and plane viscous flows. The two books together offer a complete treatment of complex analysis, showing how the elementary transcendental functions and other complex functions are applied to fluid and solid media and force fields mainly in two dimensions.

      The mathematical developments appear in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. The last chapter presents a set of detailed examples. Each chapter begins with an introduction and concludes with related topics.

      Written by one of the foremost authorities in aeronautical/aerospace engineering, this self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.

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