Differential calculus founded on an isomorphism |
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| Authors: | L D Nel |
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| Institution: | (1) Department of Mathematics and Statistics, Carleton University, K1S 5B6 Ottawa, Ontario, Canada |
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| Abstract: | This paper founds calculus on a natural isometric linear isomorphism. Once this Foundational Isomorphism is proved (with elementary Banach space methods) several familiar calculus properties of continuous curves drop out as quick corollaries. Then the calculus can be further developed in very general setting via categorical methods.
VSERC aided |
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| Keywords: | Primary: 58C20 Secondary 46M15 46G05 |
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