Download E-books Cartesian Tensors: An Introduction (Dover Books on Mathematics) PDF

This undergraduate textual content presents an advent to the speculation of Cartesian tensors, defining tensors as multilinear features of path, and simplifying many theorems in a way that lends harmony to the topic. the writer notes the significance of the research of the constitution of tensors by way of spectral units of projection operators as a part of the very substance of quantum concept. He for this reason presents an ordinary dialogue of the topic, as well as a view of isotropic tensors and spinor research in the confines of Euclidean house. The textual content concludes with an exam of tensors in orthogonal curvilinear coordinates. quite a few examples illustrate the final conception and point out definite extensions and purposes. 1960 edition.

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