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The Foundations of the Calculus of Moving Surfaces
Book chapter

The Foundations of the Calculus of Moving Surfaces

Pavel Grinfeld
Introduction to Tensor Analysis and the Calculus of Moving Surfaces, pp 249-265
10 Aug 2013

Abstract

Chain Rule Derivative Operator Geometric Construction Invariant Time Soap Film
Moving surfaces are ubiquitous in life and mathematics. Moving surfaces, like stationary surfaces, need their own language. We have shown that, in many ways, tensor calculus is an ideal language for describing stationary surfaces. For moving surfaces, the language of tensors must be extended to capture the particularities of moving surfaces. This extension comes in the form of the calculus of moving surfaces (CMS).

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