By H.K Nickerson,D.C. Spencer,N.E. Steenrod
Starting with an summary remedy of vector areas and linear transforms, the authors introduce a unmarried easy by-product in an invariant shape. All different derivatives — gradient, divergent, curl, and external — are acquired from it via specialization. The corresponding concept of integration is also unified, and many of the a number of necessary theorems of complicated calculus seem as targeted instances of a basic Stokes formulation. The textual content concludes through using those options 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