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

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

"This booklet is a thorough departure from all past strategies of complicated calculus," declared the Bulletin of the yankee arithmetic Society, "and the character of this departure advantages critical examine of the publication by way of every body attracted to undergraduate schooling in mathematics." Classroom-tested in a Princeton collage honors direction, it deals scholars a unified creation to complicated calculus.
Starting with an summary remedy of vector areas and linear transforms, the authors introduce a unmarried easy spinoff in an invariant shape. All different derivatives — gradient, divergent, curl, and external — are got from it via specialization. The corresponding thought of integration is also unified, and a number of the a number of indispensable theorems of complex calculus look as particular situations of a basic Stokes formulation. The textual content concludes by means of making use of those innovations to analytic features of complicated variables.

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