Calculus on m-Surfaces

Garret Sobczyk
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Garret Sobczyk: Universidad de Las Américas, Departamento de Física y Matemáticas

Chapter Chapter 13 in New Foundations in Mathematics, 2013, pp 223-241 from Springer

Abstract: Abstract We apply all of the machinery of linear algebra developed in the preceding chapters to the study of calculus on an m-surface. The concept of the boundary of a surface is defined, and the classical integration theorems in any dimension follow from a single fundamental theorem of calculus.1

Keywords: Classical Integral Theorems; Fundamental Theorem; Derivative Vector; Reciprocal Basis; Equivalent Complex Form (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-0-8176-8385-6_13

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DOI: 10.1007/978-0-8176-8385-6_13

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