Download E-books Vector Analysis: A Physicist's Guide to the Mathematics of Fields in Three Dimensions PDF

By N. Kemmer

Vector research offers the language that's wanted for an actual quantitative assertion of the final legislation and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the topic is aimed mostly at physicists however the presentation is both applicable for engineers. The justification for including to the on hand textbooks on vector research stems from Professor Kemmer's novel presentation of the topic built via a long time of educating, and in bearing on the maths to actual types. whereas holding mathematical precision, the method of presentation is based significantly at the visible, geometric facets of the topic and is supported through the textual content by means of many attractive illustrations which are greater than simply schematic. A unification of the entire physique of effects built within the publication - from the easy rules of differentiation and integration of vector fields to the idea of orthogonal curvilinear coordinates and to the remedy of time-dependent integrals over fields - is completed by way of the creation from the outset of a style of basic parametrisation of curves and surfaces.

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