Fundamental Theorem of Calculus

Garret Sobczyk; Omar Sanchez

doi:10.1007/s00006-010-0242-8

Fundamental Theorem of Calculus

Garret Sobczyk
, Omar Sanchez

Universidad de las Americas Puebla

Research output: Contribution to journal › Article › peer-review

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Abstract

A simple but rigorous proof of the Fundamental Theorem of Calculus is given in geometric calculus, after the basis for this theory in geometric algebra has been laid out. Various classical examples of this theorem, such as the Green’s and Stokes’ theorem are discussed, as well as the theory of monogenic functions which generalizes analytic functions of a complex variable to higher dimensions.

Original language	English
Pages (from-to)	221-231
Journal	Advances in Applied Clifford Algebras
Volume	21
Issue number	1
Early online date	30 Jul 2010
DOIs	https://doi.org/10.1007/s00006-010-0242-8
Publication status	Published - Mar 2011

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10.1007/s00006-010-0242-8

0809.4526v1

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title = "Fundamental Theorem of Calculus",

abstract = "A simple but rigorous proof of the Fundamental Theorem of Calculus is given in geometric calculus, after the basis for this theory in geometric algebra has been laid out. Various classical examples of this theorem, such as the Green{\textquoteright}s and Stokes{\textquoteright} theorem are discussed, as well as the theory of monogenic functions which generalizes analytic functions of a complex variable to higher dimensions.",

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AB - A simple but rigorous proof of the Fundamental Theorem of Calculus is given in geometric calculus, after the basis for this theory in geometric algebra has been laid out. Various classical examples of this theorem, such as the Green’s and Stokes’ theorem are discussed, as well as the theory of monogenic functions which generalizes analytic functions of a complex variable to higher dimensions.

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JO - Advances in Applied Clifford Algebras

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Fundamental Theorem of Calculus

Abstract

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