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Advanced Mathematics for Applications
A Compendium with Applications
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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 others. A knowledge of the main equations and of the methods for analyzing them is therefore essential to every working physical scientist and engineer. 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 analysis. Theorems are stated precisely and their meaning explained, though proofs are mostly only sketched, with comments and examples being given more prominence. The book structure does not require sequential reading: each chapter is self-contained and users can fashion their own path through the material. Topics are first introduced in the context of applications, and later complemented by a more thorough presentation.
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Cambridge University Press; November 2010
744 pages; ISBN 9780511911323
Read online, or download in secure PDF format
744 pages; ISBN 9780511911323
Read online, or download in secure PDF format
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0511911327
9780511911323
9780521515320
9781139636018