Advanced Calculus (Dover Books on Mathematics) - download pdf or read online

By H.K Nickerson,D.C. Spencer,N.E. Steenrod

"This publication is an intensive departure from all earlier options of complex calculus," declared the Bulletin of the yankee arithmetic Society, "and the character of this departure benefits severe examine of the publication through everybody attracted to undergraduate schooling in mathematics." Classroom-tested in a Princeton collage honors path, it bargains scholars a unified creation to complicated calculus.
Starting with an summary therapy of vector areas and linear transforms, the authors introduce a unmarried simple spinoff in an invariant shape. All different derivatives — gradient, divergent, curl, and external — are acquired from it via specialization. The corresponding thought of integration is also unified, and a few of the a number of indispensable theorems of complex calculus look as precise instances of a normal Stokes formulation. The textual content concludes via making use of those recommendations to analytic capabilities of complicated variables.

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Advanced Calculus (Dover Books on Mathematics) by H.K Nickerson,D.C. Spencer,N.E. Steenrod

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