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References.bib
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References.bib
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%% Saved with string encoding Unicode (UTF-8)
@article{FundamentalTheorem,
year={2011},
issn={0188-7009},
journal={Advances in Applied Clifford Algebras},
volume={21},
number={1},
doi={10.1007/s00006-010-0242-8},
title={Fundamental Theorem of Calculus},
url={http://dx.doi.org/10.1007/s00006-010-0242-8},
publisher={SP Birkhäuser Verlag Basel},
keywords={32A26; 58A05; 58A10; 58A15; Geometric algebra; geometric calculus; Green’s theorem; monogenic functions; Stokes’ theorem},
author={Sobczyk, Garret and Sánchez, OmarLeón},
pages={221-231},
language={English}
}
@article{UnifiedLanguage,
Author = {Joan Lasenby and Anthony N. Lasenby and Chris J. L. Doran},
Date-Added = {2014-11-27 14:43:55 +0000},
Date-Modified = {2014-11-27 14:44:31 +0000},
Doi = {10.1098/rsta.2000.0517},
Journal = {Philosophical Transactions of The Royal Society B: Biological Sciences},
Masid = {55356184},
Title = {{A unified mathematical language for physics and engineering in the 21st century}},
Url = {http://www.mrao.cam.ac.uk/~clifford/publications/abstracts/dll_millen.html},
Volume = {358},
Year = {2000},
Bdsk-Url-1 = {http://dx.doi.org/10.1098/rsta.2000.0517}}
@article{Hestenes:1982ef,
Author = {Hestenes, D.},
Date-Added = {2014-11-22 13:44:38 +0000},
Date-Modified = {2014-11-22 14:04:35 +0000},
Doi = {10.1007/BF00736846},
Journal = {Found.Phys.},
Pages = {153-168},
Slaccitation = {%%CITATION = FNDPA,12,153;%%},
Title = {SPACE-TIME STRUCTURE OF WEAK AND ELECTROMAGNETIC INTERACTIONS},
Url = {http://geocalc.clas.asu.edu/pdf-preAdobe8/ST&EW.pdf},
Volume = {12},
Year = {1982},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF00736846}}
@article{Gull:1993aa,
Author = {SF Gull and Lasenby, AN and Doran},
Date-Added = {2014-11-22 13:25:50 +0000},
Date-Modified = {2014-11-22 13:58:11 +0000},
Journal = {Found. Phys.},
Number = {9},
Pages = {1175--1201},
Title = {Imaginary Numbers are not Real - the Geometric Algebra of Spacetime},
Url = {http://www.mrao.cam.ac.uk/~clifford/publications/abstracts/imag_numbs.html},
Volume = {23},
Year = {1993}}
@article{Doran:1993pja,
Author = {Doran, Chris and Lasenby, Anthony and Gull, Stephen},
Date-Added = {2014-11-22 12:46:00 +0000},
Date-Modified = {2014-11-22 13:59:15 +0000},
Doi = {10.1007/BF01883678},
Journal = {Found Phys.},
Number = {9},
Pages = {1239-1264},
Slaccitation = {%%CITATION = INSPIRE-1204881;%%},
Title = {{States and operators in the spacetime algebra}},
Url = {http://www.mrao.cam.ac.uk/~clifford/publications/abstracts/states.html},
Volume = {23},
Year = {1993},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01883678}}
@article{Lasenby:1998yq,
Archiveprefix = {arXiv},
Author = {Lasenby, Anthony and Doran, Chris and Gull, Stephen},
Date-Added = {2014-11-22 12:45:55 +0000},
Date-Modified = {2014-11-22 12:45:55 +0000},
Doi = {10.1098/rsta.1998.0178},
Eprint = {gr-qc/0405033},
Journal = {Phil.Trans.Roy.Soc.Lond.},
Pages = {487-582},
Primaryclass = {gr-qc},
Slaccitation = {%%CITATION = GR-QC/0405033;%%},
Title = {{Gravity, gauge theories and geometric algebra}},
Volume = {A356},
Year = {1998},
Bdsk-Url-1 = {http://dx.doi.org/10.1098/rsta.1998.0178}}
@book{CA2GC,
Author = {Hestenes, David and Sobcyk, Garret},
Citeulike-Article-Id = {926975},
Date-Added = {2014-11-22 12:42:17 +0000},
Date-Modified = {2014-11-22 12:42:17 +0000},
Keywords = {bibtex-import},
Posted-At = {2006-11-03 12:37:55},
Priority = {2},
Publisher = {Kluwer Academic Publishers},
Title = {Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics)},
Year = {1987}}
@article{Lasenby:1993ya,
Author = {Lasenby, A. and Doran, C. and Gull, S.},
Date-Added = {2014-11-22 12:42:12 +0000},
Date-Modified = {2014-11-22 13:57:43 +0000},
Doi = {10.1007/BF01883781},
Journal = {Found.Phys.},
Pages = {1295-1327},
Slaccitation = {%%CITATION = FNDPA,23,1295;%%},
Title = {{A Multivector derivative approach to Lagrangian field theory}},
Url = {http://www.mrao.cam.ac.uk/~clifford/publications/abstracts/lag_field.html},
Volume = {23},
Year = {1993},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01883781}}
@book{macdonaldvector,
title={Vector and Geometric Calculus},
author={Macdonald, A.L.},
isbn={9781480132450},
url={http://books.google.is/books?id=GlgClAEACAAJ},
year={2012},
publisher={CreateSpace Independent Publishing Platform}
}
@article{macdonaldGC,
author = {Macdonald, A.L.},
title = "{A Survey of Geometric Algebra and Geometric Calculus}",
url={http://faculty.luther.edu/~macdonal/GA&GC.pdf},
Year = {2015},
month = mar,
}
@article{Chisolm:2012aa,
Author = {Eric Chisolm},
Date-Added = {2014-11-22 12:34:16 +0000},
Date-Modified = {2014-11-22 12:34:16 +0000},
Eprint = {1205.5935},
Month = {05},
Title = {Geometric Algebra},
Url = {http://arxiv.org/abs/1205.5935},
Year = {2012},
Bdsk-Url-1 = {http://arxiv.org/abs/1205.5935}}
@book{GAForPhysicists,
Author = {Doran, C.J.L. and Lasenby, A.},
Date-Added = {2014-11-22 12:11:51 +0000},
Date-Modified = {2014-11-22 12:11:51 +0000},
Isbn = {9780521715959},
Lccn = {2008271629},
Publisher = {Cambridge University Press},
Title = {Geometric algebra for physicists},
Url = {http://books.google.is/books?id=2X3vAAAAMAAJ},
Year = {2007},
Bdsk-Url-1 = {http://books.google.is/books?id=2X3vAAAAMAAJ}}
@article{Doran:1993lwa,
Author = {Doran, C. and Hestenes, D. and Sommen, F. and Van Acker, N.},
Date-Added = {2014-11-22 12:11:40 +0000},
Date-Modified = {2014-11-22 14:02:17 +0000},
Doi = {10.1063/1.530050},
Journal = {J.Math.Phys.},
Number = {8},
Pages = {3642-3669},
Slaccitation = {%%CITATION = JMAPA,34,3642;%%},
Title = {{Lie groups as spin groups}},
Url = {http://www.mrao.cam.ac.uk/~clifford/publications/abstracts/lie_groups.html},
Volume = {34},
Year = {1993},
Bdsk-Url-1 = {http://dx.doi.org/10.1063/1.530050}}
@article{Fryberger:1987nc,
Author = {Fryberger, D.},
Date-Added = {2014-11-22 12:11:33 +0000},
Date-Modified = {2014-11-22 14:00:38 +0000},
Doi = {10.1007/BF00734522},
Journal = {Found.Phys.},
Pages = {125},
Reportnumber = {SLAC-PUB-4237},
Slaccitation = {%%CITATION = FNDPA,19,125;%%},
Title = {{On Generalized Electromagnetism and Dirac Algebra}},
Url = {https://www.slac.stanford.edu/cgi-wrap/getdoc/slac-pub-4237.pdf},
Volume = {19},
Year = {1989},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF00734522}}
@article{Hestenes03spacetimephysics,
Author = {David Hestenes},
Date-Added = {2014-11-22 12:11:26 +0000},
Date-Modified = {2014-11-22 13:55:31 +0000},
Journal = {Am. J. Phys},
Pages = {691--714},
Title = {Spacetime Physics with Geometric Algebra},
Url = {http://geocalc.clas.asu.edu/pdf/SpacetimePhysics.pdf},
Volume = {71},
Year = {2003}}
@book{GANF,
Author = {Hestenes, David},
Citeulike-Article-Id = {926974},
Date-Added = {2014-11-22 12:11:19 +0000},
Date-Modified = {2014-11-22 12:11:19 +0000},
Keywords = {bibtex-import},
Posted-At = {2006-11-03 12:37:55},
Priority = {2},
Publisher = {Kluwer Academic Publishers; 2nd edition},
Title = {New Foundations for Classical Mechanics: Fundamental Theories of Physics (Fundamental Theories of Physics)},
Year = {1999}}
@article{HitzerCalculus,
author = {{Hitzer}, E.},
title = "{Multivector Differential Calculus}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1306.2278},
primaryClass = "math.HO",
keywords = {Mathematics - History and Overview},
year = 2013,
month = jun,
adsurl = {http://adsabs.harvard.edu/abs/2013arXiv1306.2278H},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@article{Hestenes03oerstedmedal,
Author = {David Hestenes},
Date-Modified = {2014-11-22 12:23:26 +0000},
Journal = {Am. J. Phys},
Pages = {104--121},
Title = {Oersted Medal Lecture 2002: Reforming the mathematical language of physics},
Url = {http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf},
Volume = {71},
Year = {2003}}