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

ISBN-10: 0486480909

ISBN-13: 9780486480909

"This e-book is an intensive departure from all earlier ideas of complex calculus," declared the Bulletin of the yankee arithmetic Society, "and the character of this departure advantages severe learn of the e-book via all people 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 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


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