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Dissertation
Calculus of Higher Order Noncommutative Functions
Doctor of Philosophy (Ph.D.), Drexel University
08 Jun 2018
DOI:
https://doi.org/10.17918/D81D4C
Abstract
This thesis extends some standard results familiar from undergraduate calculus to the setting of higher order noncommutative functions. These extensions are accomplished using a difference-differential operator in a completely algebraic, topological free, manner. The results include a version of the mean value theorem, the Taylor formula and an antiderivative. The Taylor formula is applied to obtain results about power series on nilpotent matrices and higher order polynomials.
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Details
- Title
- Calculus of Higher Order Noncommutative Functions
- Creators
- Leonard Charles Stevenson - DU
- Contributors
- Dmitry S. Kaliuzhnyi-Verbovetskyi (Advisor) - Drexel University (1970-)
- Awarding Institution
- Drexel University
- Degree Awarded
- Doctor of Philosophy (Ph.D.)
- Publisher
- Drexel University; Philadelphia, Pennsylvania
- Number of pages
- v, 129 pages
- Resource Type
- Dissertation
- Language
- English
- Academic Unit
- College of Arts and Sciences; Drexel University; Mathematics
- Other Identifier
- 8096; 991014632588104721