Book chapter
Integration and Gauss’s Theorem
Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 235-246
10 Aug 2013
Abstract
In this chapter, we pursue two goals. First, we discuss integration from a geometric point of view and establish the tensor calculus way of representing invariant integrals in arbitrary coordinates. Second, we prove a rather general form of Gauss’s theorem. The starting point for the derivation is Gauss’s theorem over flat domains referred to as Cartesian coordinates. Our task is to extend that result to arbitrary curved patches.
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Details
- Title
- Integration and Gauss’s Theorem
- Creators
- Pavel Grinfeld - Drexel University
- Publication Details
- Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 235-246
- Publisher
- Springer New York; New York, NY
- Resource Type
- Book chapter
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991019312433604721