Advanced Mathematics for Applications
Description: The partial differential equations that govern scalar and vector fields are the very language used to model a variety of phenomena in solid mechanics, fluid flow, acoustics, heat transfer, electromagnetism and many A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and Andrea Prosperetti draws on many years’ research experience to produce a guide to a wide variety of methods, ranging from classical Fourier-type series through to the theory of distributions and basic functional Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the Topics are first introduced in the context of applications, and later complemented by a more thorough presentation ...
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