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 ebook is an intensive departure from all prior options of complicated calculus," declared the Bulletin of the yank arithmetic Society, "and the character of this departure benefits severe examine of the booklet by means of every body drawn to undergraduate schooling in mathematics." Classroom-tested in a Princeton collage honors path, it deals scholars a unified advent to complicated calculus.
Starting with an summary remedy 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 by way of specialization. The corresponding concept of integration is also unified, and some of the a number of indispensable theorems of complicated calculus look as designated situations of a basic Stokes formulation. The textual content concludes by means of utilising those ideas to analytic capabilities of complicated variables.

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