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This concise text was created as a workbook for learning to use vector calculus in practical calculations and derivations. Its only prerequisite is a familiarity with one-dimensional differential and integral calculus. Though it often makes use of physical examples, knowledge of physics itself is not required to study the mathematics of vector calculus. The approach is suitable for advanced undergraduates and graduate students in mathematics, physics, and other areas of science.The two-part treatment opens with a brief text that develops vector calculus from the very beginning and then addresses some more detailed applications. Topics include vector differential operators, vector identities, integral theorems, Dirac delta function, Green's functions, general coordinate systems, and dyadics. The second part consists of answered problems, all closely related to the development of vector calculus in the text. Those who study this book and work out the problems will find that rather than m

A master playwright and short story writer, Anton Chekhov is revered for his ability to examine the social forces in his characters' lives. His virtuosity with the written word is on full display in t

Originally published by John Wiley & Sons in 1982, Partial Differential Equations for Scientists and Engineers was reprinted by Dover in 1993. Each chapter of the text contains a selection of rele

This outstanding compilation presents stories by two of the writers who helped launch the early nineteenth-century German Romanticism movement: Ludwig Tieck and Jean Paul Richter. Translated by the gr