By Luis Manuel Braga da Costa Campos
Building at the author’s prior e-book within the sequence, Complex research with functions to Flows and Fields (CRC Press, 2010), Transcendental Representations with functions to Solids and Fluids specializes in 4 limitless representations: sequence expansions, sequence of fractions for meromorphic services, endless items for features with infinitely many zeros, and persevered fractions as replacement representations. This booklet additionally keeps the appliance of complicated capabilities to extra sessions of fields, together with incompressible rotational flows, compressible irrotational flows, unsteady flows, rotating flows, floor stress and capillarity, deflection of membranes below load, torsion of rods via torques, aircraft elasticity, and airplane viscous flows. the 2 books jointly supply an entire remedy of advanced research, displaying how the basic transcendental services and different advanced capabilities are utilized to fluid and good media and strength fields generally in dimensions.
The mathematical advancements look in odd-numbered chapters whereas the actual and engineering functions are available in even-numbered chapters. The final bankruptcy offers a collection of particular examples. every one bankruptcy starts off with an advent and concludes with similar themes.
Written by means of one of many top-rated gurus in aeronautical/aerospace engineering, this self-contained booklet supplies the mandatory mathematical heritage and actual ideas to construct types for technological and medical reasons. It exhibits easy methods to formulate difficulties, justify the recommendations, and interpret the results.
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Transcendental Representations with Applications to Solids and Fluids (Mathematics and Physics for Science and Technology) by Luis Manuel Braga da Costa Campos