![]() The theory builds upon standard concepts in algebraic topology and is motivated by recent progress in noncommutative differential geometry. The goal is to take each mathematical objects that is necessary in order to write down the classical electromagnetic theory and develop a corresponding discrete analog. In this approach, rather than take the classical theory based on the continuum as a given and constructing approximate numerical techniques from there, work is done toward constructing an alternative to the continuum theory that is built up from scratch in a discrete setting. Degree Level Dissertation Keyword(s) Engineering, Electronics and Electrical Language eng Abstract The algebraic model of Part II represents a somewhat radical approach to computation. Title Differential Geometry in Computational Electromagnetics Author(s) Forgy, Eric Alan Issue Date 2002 Doctoral Committee Chair(s) Chew, Weng Cho Department of Study Electrical Engineering Discipline Electrical Engineering Degree Granting Institution University of Illinois at Urbana-Champaign Degree Name Ph.D. If you are trying to access an Illinois-restricted dissertation or thesis, you can request a copy through your library's Inter-Library Loan office or purchase a copy directly from ProQuest. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. ![]() Paul Seidel Departments Mathematics Topics Mathematics. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature. ment of the euclidean geometry is clearly shown for example, it is shown that the whole of the euclidean geometry may be developed without the use of the axiom of continuity the signi-cance of Desargues’s theorem, as a condition that a given plane geometry may be regarded as a part of a geometry of space, is made apparent, etc. This item is only available for download by members of the University of Illinois community. This course is an introduction to differential geometry.
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