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

ISBN-10: 0486480909

ISBN-13: 9780486480909

"This publication is a thorough departure from all prior thoughts of complex calculus," declared the Bulletin of the yankee arithmetic Society, "and the character of this departure benefits severe examine of the e-book through each person drawn to undergraduate schooling in mathematics." Classroom-tested in a Princeton college honors direction, 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 easy spinoff in an invariant shape. All different derivatives — gradient, divergent, curl, and external — are bought from it by means of specialization. The corresponding concept of integration is also unified, and some of the a number of imperative theorems of complicated calculus seem as particular situations of a basic Stokes formulation. The textual content concludes through making use of those ideas to analytic capabilities 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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