By Harley Flanders
"To the reader who needs to procure a bird's-eye view of the idea of differential kinds with functions to different branches of natural arithmetic, utilized mathematic and physics, i will be able to suggest no greater book." — T. J. Willmore, London Mathematical Society Journal.
This very good textual content introduces using external differential varieties as a strong instrument within the research of quite a few mathematical difficulties within the actual and engineering sciences. Requiring familiarity with a number of variable calculus and a few wisdom of linear algebra and set idea, it's directed essentially to engineers and actual scientists, however it has additionally been used effectively to introduce glossy differential geometry to scholars in mathematics.
Chapter I introduces external differential kinds and their comparisons with tensors. the subsequent 3 chapters take in external algebra, the outside spinoff and their purposes. bankruptcy V discusses manifolds and integration, and bankruptcy VI covers functions in Euclidean house. The final 3 chapters discover functions to differential equations, differential geometry, and crew theory.
"The booklet is especially readable, certainly, relaxing — and, even supposing addressed to engineers and scientists, might be in no way inaccessible to or irrelevant for ... first yr graduate scholars and brilliant undergraduates." — F. E. J. Linton, Wesleyan collage, American Mathematical Monthly.