By Harley Flanders
"To the reader who needs to acquire a bird's-eye view of the idea of differential types with functions to different branches of natural arithmetic, utilized mathematic and physics, i will suggest no larger book." — T. J. Willmore, London Mathematical Society Journal.
This first-class textual content introduces using external differential types as a strong device within the research of a number of 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 thought, 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 types and their comparisons with tensors. the subsequent 3 chapters take in external algebra, the outside by-product and their purposes. bankruptcy V discusses manifolds and integration, and bankruptcy VI covers functions in Euclidean house. The final 3 chapters discover purposes to differential equations, differential geometry, and workforce theory.
"The publication is particularly readable, certainly, relaxing — and, even if addressed to engineers and scientists, can be under no circumstances inaccessible to or beside the point for ... first 12 months graduate scholars and vibrant undergraduates." — F. E. J. Linton, Wesleyan college, American Mathematical Monthly.
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