![]() 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. Math 423: Differential Geometry This course has a limited number of seats. 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. math 242 uiucCombinatorial Aspects of Commutative Algebra and Algebraic. 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. ![]() In fact, MSRI Online Videos is enormous, and their archive has some interesting parts for DG students (not quite sure if they still work. Students, faculty, and staff at the U of I may log in with your NetID and password to view the item. Differential Geometry Lecture Syllabus Topics to be covered: THE GEOMETRY OF CURVES. Clay Mathematics Institute 2005 Summer School on Ricci Flow, 3 Manifolds And Geometry generously provided video recordings of the lectures that are extremely useful for differential geometry students. This item is only available for download by members of the University of Illinois community.
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