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Functional Differential Geometry

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dc.contributor.author Sussman, Gerald Jay
dc.contributor.author Wisdom, Jack
dc.date.accessioned 2005-12-22T02:21:07Z
dc.date.available 2005-12-22T02:21:07Z
dc.date.issued 2005-02-02
dc.identifier.other MIT-CSAIL-TR-2005-007
dc.identifier.other AIM-2005-003
dc.identifier.uri http://hdl.handle.net/1721.1/30520
dc.description.abstract Differential geometry is deceptively simple. It is surprisingly easyto get the right answer with unclear and informal symbol manipulation.To address this problem we use computer programs to communicate aprecise understanding of the computations in differential geometry.Expressing the methods of differential geometry in a computer languageforces them to be unambiguous and computationally effective. The taskof formulating a method as a computer-executable program and debuggingthat program is a powerful exercise in the learning process. Also,once formalized procedurally, a mathematical idea becomes a tool thatcan be used directly to compute results.
dc.description.provenance Made available in DSpace on 2005-12-22T02:21:07Z (GMT). No. of bitstreams: 2 MIT-CSAIL-TR-2005-007.ps: 38556269 bytes, checksum: a388754aec94e8eba8dfa665dfff29e5 (MD5) MIT-CSAIL-TR-2005-007.pdf: 1665777 bytes, checksum: 57ff8c858d04ddac386a26620df32c16 (MD5) en
dc.format.extent 77 p.
dc.format.extent 38556269 bytes
dc.format.extent 1665777 bytes
dc.format.mimetype application/postscript
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.relation.ispartofseries Massachusetts Institute of Technology Computer Science and Artificial Intelligence Laboratory
dc.subject AI
dc.subject Scheme differential geometry calculus manifolds
dc.title Functional Differential Geometry

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