New PDF release: Advanced Calculus (Dover Books on Mathematics)

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

"This e-book is an intensive departure from all prior strategies of complicated calculus," declared the Bulletin of the yank arithmetic Society, "and the character of this departure benefits severe examine of the publication by means of every body drawn to undergraduate schooling in mathematics." Classroom-tested in a Princeton college honors direction, it bargains scholars a unified creation to complex calculus.
Starting with an summary therapy of vector areas and linear transforms, the authors introduce a unmarried uncomplicated spinoff in an invariant shape. All different derivatives — gradient, divergent, curl, and external — are got from it by means of specialization. The corresponding idea of integration is also unified, and some of the a number of crucial theorems of complicated calculus look as specific circumstances of a basic Stokes formulation. The textual content concludes by way of employing those techniques 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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