Download e-book for kindle: Advanced Calculus (Dover Books on Mathematics) by H.K Nickerson,D.C. Spencer,N.E. Steenrod

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

"This booklet is a thorough departure from all prior thoughts of complicated calculus," declared the Bulletin of the yankee 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 path, it deals scholars a unified advent 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 bought from it by means of specialization. The corresponding conception of integration is also unified, and some of the a number of necessary theorems of complicated calculus seem as distinct instances of a basic Stokes formulation. The textual content concludes via using those ideas to analytic services of advanced 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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