# e-book Advanced mathematical methods for engineering and science students

Included are tensor algebra, ordinary differential equations, contour integration, Laplace and Fourier transforms, partial differential equations and the calculus of variations. The authors' approach is simple and direct with an emphasis on the analytical understanding of the material. The text is virtually selfcontained, assuming only that the student has a solid understanding of ancillary mathematics.

Each chapter contains a large number of worked examples, and concludes with problems for solution, with answers in the back of the book.

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How many components does a tensor of rank 5 have in a space of 4 dimensions? Prove that if the components of a tensor are zero in one coordinate system they are zero in all coordinate systems.

Prove that if the components of two tensors are equal in one coordinate system they are equal in all coordinate systems. Engineering mathematics in tertiary education typically consists of mathematical methods and models courses. From Wikipedia, the free encyclopedia.

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Description [ edit ] Historically, engineering mathematics consisted mostly of applied analysis , most notably: differential equations ; real and complex analysis including vector and tensor analysis ; approximation theory broadly construed, to include asymptotic , variational , and perturbative methods , representations , numerical analysis ; Fourier analysis ; potential theory ; as well as linear algebra and applied probability , outside of analysis.

Fairclough, Engineering Mathematics and Computer Algebra.

Lec 13 - MIT 18.086 Mathematical Methods for Engineers II

Categories : Applied mathematics. Namespaces Article Talk. 