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Download e-book for kindle: Advanced Mathematical Methods in Science and Engineering, by S.I. Hayek

By S.I. Hayek

Classroom-tested, Advanced Mathematical tools in technology and Engineering, moment version presents equipment of utilized arithmetic which are rather suited for tackle actual difficulties in technological know-how and engineering. quite a few examples illustrate many of the tools of resolution and solutions to the end-of-chapter difficulties are incorporated behind the ebook.



After introducing integration and answer tools of normal differential equations (ODEs), the ebook provides Bessel and Legendre features in addition to the derivation and techniques of answer of linear boundary price difficulties for actual platforms in a single spatial measurement ruled via ODEs. It additionally covers complicated variables, calculus, and integrals; linear partial differential equations (PDEs) in classical physics and engineering; the derivation of necessary transforms; Green’s services for ODEs and PDEs; asymptotic equipment for comparing integrals; and the asymptotic resolution of ODEs. New to this variation, the ultimate bankruptcy deals an intensive therapy of numerical equipment for fixing non-linear equations, finite distinction differentiation and integration, preliminary price and boundary price ODEs, and PDEs in mathematical physics. Chapters that hide boundary price difficulties and PDEs comprise derivations of the governing differential equations in lots of fields of utilized physics and engineering, resembling wave mechanics, acoustics, warmth movement in solids, diffusion of drinks and gases, and fluid flow.



An replace of a bestseller, this moment version keeps to offer scholars the robust beginning had to observe mathematical innovations to the actual phenomena encountered in clinical and engineering applications.

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Advanced Mathematical Methods in Science and Engineering, Second Edition by S.I. Hayek


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