Transcendental Representations with Applications to Solids and Fluids

ISBN-13: 9780367381523 / Angielski / Miękka / 2019 / 898 str.

Luis Manuel Braga Da Costa Campos

Opis

Building on the author’s previous book in the series, this work 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.

Spis treści

Sequences of Fractions or Products. Compressible and Rotational Flows. Exponential and Logarithmic Functions. Plane Elasticity and Multiharmonic Functions. Circular and Hyperbolic Functions. Membranes, Capillarity, and Torsion. Infinite and Cyclometric Representations. Confined and Unsteady Flows. Infinite Processes and Summability. Twenty Examples. Bibliography. Index.

O autorze

Luis Manuel Braga da Costa Campos is the director and founder of the Center for Aeronautical and Space Science and Technology at Lisbon Technical University, where he is also the coordinator of undergraduate and postgraduate degrees in aerospace engineering and coordinator of the applied and aerospace mechanics group in the Department of Mechanical Engineering. Dr. Campos is a member and vice chairman of the Portuguese Academy of Engineering; a fellow of the Royal Aeronautical Society, Astronomical Society, and Cambridge Philosophical Society; and associate fellow of the American Institute of Aeronautics and Astronautics. His research focuses on acoustics, magnetohydrodynamics, special functions, and flight dynamics.