منابع مشابه
Vector Calculus
Four different vector fields on (x,y)-plane A vector field on a sphere ♣ Curves. A smooth curve is a continuous curve (no gaps or discontinuities) with no corners (no abrupt changes in slope at a point such as you would get from the intersection of two lines). A continuous and differentiable produces a smooth function. A path C is called closed if its initial and final points are the same point...
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These are lecture notes for the Cambridge mathematics tripos Part IA Vector Calculus course. There are four examples sheets for this course. These notes are pretty much complete. Books See the schedules for a list, but particularly: • “Mathematical Methods for Physics and Engineering”, CUP 2002 by Riley, Hobson and Bence £28. • “Vector Analysis and Cartesian Tensors”, Bourne and Kendall 1999 by...
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This article demonstrates how newly available technology (e.g. the symbolic and graphical capabilities of MAPLE) leads to a complete rethinking how key concepts of (vector-) calculus are introduced. The new approach is accessible to a much broader population of students. The teaching of single variable calculus has seen compelling changes in the last decade due to new technology. One should pro...
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The purpose of these notes is to review the basics of vector calculus in the two dimensions. We will assume you are familiar with the basics of partial derivatives, including the equality of mixed partials (assuming they are continuous), the chain rule, implicit differentiation. In addition, some familiarity with multiple integrals is assumed, although we will review the highlights. Proofs and ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1922
ISSN: 0002-9947
DOI: 10.2307/1989026