Editing Geometric algebra (section)

== References and further reading ==
{{refbegin|2}}
: ''Arranged chronologically''
* {{citation |year=1844 |last=Grassmann |first=Hermann |author-link=Hermann Grassmann |title=Die lineale Ausdehnungslehre ein neuer Zweig der Mathematik: dargestellt und durch Anwendungen auf die übrigen Zweige der Mathematik, wie auch auf die Statik, Mechanik, die Lehre vom Magnetismus und die Krystallonomie erläutert |url=https://books.google.com/books?id=bKgAAAAAMAAJ |location=Leipzig |publisher=O. Wigand |oclc=20521674 }}
* {{citation |doi=10.2307/2369379 |jstor=2369379 |title=Applications of Grassmann's Extensive Algebra |last1=Clifford |first1=Professor |journal=American Journal of Mathematics |date=1878 |volume=1 |issue=4 |pages=350–358 }}
* {{citation |orig-year=1957 |last=Artin |first=Emil |author-link=Emil Artin |title=Geometric algebra |series=Wiley Classics Library |publisher=Wiley |year=1988  |isbn=978-0-471-60839-4 |mr=1009557 |doi=10.1002/9781118164518 }}
* {{citation |year=1966 |last=Hestenes |first=David |author-link=David Hestenes |title=Space–time Algebra |publisher=Gordon and Breach |isbn=978-0-677-01390-9 |oclc=996371 }}
* {{citation |year=1973 |last1=Wheeler |first1=J. A. |last2=Misner |first2=C. |last3=Thorne |first3=K. S. |title=Gravitation |publisher=W.H. Freeman |isbn=978-0-7167-0344-0|title-link=Gravitation (book) }}
* {{citation |year=1980 |last=Bourbaki |first=Nicolas |author-link=Nicolas Bourbaki |title=Eléments de Mathématique. Algèbre |publisher=Hermann |chapter=Ch. 9 "Algèbres de Clifford" |isbn=9782225655166 }}
* {{citation |year=1984 |last1=Hestenes |first1=David |author-link1=David Hestenes |last2=Sobczyk |first2=Garret |title=Clifford Algebra to Geometric Calculus, a Unified Language for Mathematics and Physics |publisher=Springer Netherlands |isbn=978-90-277-1673-6 |mode=cs2 }}
* {{citation |year=1986 |last1=Hestenes |first1=David |title=Clifford Algebras and Their Applications in Mathematical Physics |chapter=A Unified Language for Mathematics and Physics |author-link1=David Hestenes |editor1=J.S.R. Chisholm |editor2=A.K. Commons |doi=10.1007/978-94-009-4728-3_1 |isbn=978-94-009-4728-3 |publisher=Springer |series=NATO ASI Series (Series C) |volume=183|pages=1–23 }}
* {{citation |year=1988a|last=Wilmot|first=G.P.|title=The Structure of Clifford algebra. Journal of Mathematical Physics|volume=29|pages=2338–2345 }}
* {{citation |year=1988b|last=Wilmot|first=G.P.|title=Clifford algebra and the Pfaffian expansion|journal=Journal of Mathematical Physics|volume=29|pages=2346–2350|doi=10.1063/1.528118 }}
* {{citation |year=1991 |last=Chevalley |first=Claude |title=The Algebraic Theory of Spinors and Clifford Algebras, Collected Works |publisher=Springer |volume=2 |isbn=3-540-57063-2 }}
* {{citation |year=1994 |last=Doran |first=Chris J. L. |author-link=Chris J. L. Doran |title=Geometric Algebra and its Application to Mathematical Physics |type=PhD thesis |publisher=[[University of Cambridge]] |oclc=53604228 |doi=10.17863/CAM.16148 |hdl=1810/251691}}
* {{citation |orig-year=1996 |editor=Baylis, W. E. |title=Clifford (Geometric) Algebra with Applications to Physics, Mathematics, and Engineering |publisher=[[Birkhäuser]] |isbn=9781461241058 |year=2011 }}
* {{citation |year=1997 |last1=Aragón |first1=G. |last2=Aragón |first2=J.L. |last3=Rodríguez |first3=M.A. |title=Clifford Algebras and Geometric Algebra |journal=Advances in Applied Clifford Algebras |volume=7 |issue=2 |pages=91–102 |doi=10.1007/BF03041220|s2cid=120860757 }}
* {{citation |year=1999 |last=Hestenes |first=David |author-link=David Hestenes |title=New Foundations for Classical Mechanics |edition=2nd |publisher=Springer Verlag | isbn=978-0-7923-5302-7 }}
* {{citation |year=2000 |last1=Lasenby |first1=Joan |author1-link=Joan Lasenby|last2=Lasenby |first2=Anthony N. |last3=Doran |first3=Chris J. L. |author-link3=Chris J. L. Doran |title=A Unified Mathematical Language for Physics and Engineering in the 21st Century |url=http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00RSocMillen.pdf |archive-url=https://web.archive.org/web/20150319085814/http://geometry.mrao.cam.ac.uk/wp-content/uploads/2015/02/00RSocMillen.pdf |archive-date=2015-03-19 |url-status=live |journal=[[Philosophical Transactions of the Royal Society A]] |volume=358 |issue=1765 |pages=21–39 |bibcode=2000RSPTA.358...21L |doi=10.1098/rsta.2000.0517|s2cid=91884543 }}
* {{citation |year=2001 |last=Lounesto |first=Pertti |title=Clifford Algebras and Spinors |edition=2nd |publisher=[[Cambridge University Press]] |isbn=978-0-521-00551-7 }}
* {{citation |year=2002 |last=Baylis |first=W. E. |title=Electrodynamics: A Modern Geometric Approach |edition=2nd |publisher=[[Birkhäuser]] |isbn=978-0-8176-4025-5 }}
* {{citation |year=2002 |last=Dorst |first=Leo |chapter=The Inner Products of Geometric Algebra | publisher=[[Birkhäuser]] |pages=35–46 |editor-last=Dorst |editor-first=L. |editor2-last=Doran |editor2-first=C. |editor3-last=Lasenby |editor3-first=J.|editor3-link=Joan Lasenby |title=Applications of Geometric Algebra in Computer Science and Engineering |isbn=978-1-4612-0089-5 |doi=10.1007/978-1-4612-0089-5_2 }}
* {{citation |year=2003 |last1=Doran |first1=Chris J. L. |author-link=Chris J. L. Doran |last2=Lasenby |first2=Anthony N. |title=Geometric Algebra for Physicists |url=http://assets.cambridge.org/052148/0221/sample/0521480221WS.pdf |archive-url=https://web.archive.org/web/20090106022223/http://assets.cambridge.org/052148/0221/sample/0521480221ws.pdf |archive-date=2009-01-06 |url-status=live |publisher=Cambridge University Press |bibcode=2003gap..book.....D |isbn=978-0-521-71595-9 }}
* {{citation |year=2003 |last=Hestenes |first=David |author-link=David Hestenes |title=Oersted Medal Lecture 2002: Reforming the Mathematical Language of Physics |journal=Am. J. Phys. |volume=71 |issue=2 |pages=104–121 |url=https://davidhestenes.net/geocalc/pdf/OerstedMedalLecture.pdf |bibcode=2003AmJPh..71..104H |doi=10.1119/1.1522700 |citeseerx=10.1.1.649.7506 }}
* {{citation |year=2004 |last1=Hildenbrand |first1=Dietmar |last2=Fontijne |first2=Daniel |last3=Perwass |first3=Christian |last4=Dorst |first4=Leo |journal=Proceedings of Eurographics 2004 |title=Geometric Algebra and its Application to Computer Graphics |url=http://www.gaalop.de/dhilden_data/CLUScripts/eg04_tut03.pdf |archive-url=https://web.archive.org/web/20150906043232/http://www.gaalop.de/dhilden_data/CLUScripts/eg04_tut03.pdf |archive-date=2015-09-06 |url-status=live |doi=10.2312/egt.20041032 }}
* {{citation |doi=10.1063/1.1835174 |chapter=Conformal Models of de Sitter Space, Initial Conditions for Inflation and the CMB |title=AIP Conference Proceedings |date=2004 |last1=Lasenby |first1=Anthony |volume=736 |pages=53–70 |s2cid=18034896 |arxiv=astro-ph/0411579 }}
* {{citation |year=2005 |last1=Hestenes |first1=David |title=Introduction to Primer for Geometric Algebra |url=https://davidhestenes.net/geocalc/html/IntroPrimerGeometricAlgebra.html }}
* {{citation |last1=Selig |first1=J.M. |year=2005 |title=Geometric Fundamentals of Robotics |url=http://link.springer.com/10.1007/b138859 |publisher=Springer New York |isbn=978-0-387-20874-9 |series=Monographs in Computer Science |location=New York, NY |language=en |doi=10.1007/b138859}}
* {{citation |year=2006 |last=Bain |first=J. |title=The ontology of spacetime |editor=[[Dennis Dieks]] |section=Spacetime structuralism: §5 Manifolds ''vs.'' geometric algebra |page=54 ''ff'' |isbn=978-0-444-52768-4 |publisher=Elsevier |url=https://books.google.com/books?id=OI5BySlm-IcC&pg=PT72 }}
* {{citation |year=2007 |last1=Dorst |first1=Leo |last2=Fontijne |first2=Daniel |last3=Mann |first3=Stephen |title=Geometric algebra for computer science: an object-oriented approach to geometry |url=http://www.geometricalgebra.net/ |publisher=Elsevier |isbn=978-0-12-369465-2 |oclc=132691969 }}
* {{citation |year=2007 |last=Penrose |first=Roger |author-link=Roger Penrose |title=The Road to Reality |publisher=Vintage books |isbn=978-0-679-77631-4 |title-link=The Road to Reality }}
* {{citation |year=2008 |last1=Francis |first1=Matthew R. |last2=Kosowsky |first2=Arthur |title=The Construction of Spinors in Geometric Algebra |journal= [[Annals of Physics]] |volume=317 |issue=2 |pages=383–409 |arxiv=math-ph/0403040v2  |bibcode=2005AnPhy.317..383F |doi=10.1016/j.aop.2004.11.008|s2cid=119632876 }}
* {{citation |year=2008 |last=Li |first=Hongbo |title=Invariant Algebras and Geometric Reasoning |publisher=World Scientific |isbn=9789812770110 |url=https://books.google.com/books?id=bUEcbyfW55YC }}. [https://web.archive.org/web/20110629144727/http://www.worldscibooks.com/etextbook/6514/6514_chap01.pdf Chapter 1] as PDF
* {{citation |year=2008 |last=Vince |first=John A. |title=Geometric Algebra for Computer Graphics |publisher=Springer |isbn=978-1-84628-996-5 }}
* {{cite arXiv |year=2009 |last1=Lundholm |first1=Douglas |last2=Svensson |first2=Lars |title=Clifford Algebra, Geometric Algebra and Applications |eprint=0907.5356v1 |mode=cs2 |class=math-ph }}
* {{citation |doi=10.1007/978-3-540-89068-3 |title=Geometric Algebra with Applications in Engineering |series=Geometry and Computing |date=2009 |volume=4 |bibcode=2009gaae.book.....P |isbn=978-3-540-89067-6 |last1=Perwass |first1=Christian }}
* {{citation |doi=10.1017/S0263574799002568 |title=Clifford algebra of points, lines and planes |date=2000 |last1=Selig |first1=J. M. |journal=Robotica |volume=18 |issue=5 |pages=545–556 |s2cid=28929170 |url=http://researchopen.lsbu.ac.uk/99/1/Cliff.pdf }}
* {{citation |year=2010 |last=Bayro-Corrochano |first=Eduardo |title=Geometric Computing for Wavelet Transforms, Robot Vision, Learning, Control and Action |publisher=Springer Verlag |isbn=9781848829299 }}
* {{citation |year=2010 |editor-last=Bayro-Corrochano |editor-first=E. |editor-last2=Scheuermann |editor-first2=Gerik |title=Geometric Algebra Computing in Engineering and Computer Science |publisher=Springer |url=https://books.google.com/books?id=MaVDAAAAQBAJ |isbn=9781849961080 }} Extract online at https://davidhestenes.net/geocalc/html/UAFCG.html #5 New Tools for Computational Geometry and rejuvenation of Screw Theory
* {{citation |year=2010 |last=Goldman |first=Ron |title=Rethinking Quaternions: Theory and Computation |publisher=Morgan & Claypool |isbn=978-1-60845-420-4 |at=Part III. Rethinking Quaternions and Clifford Algebras}}
* {{citation |year=2011 |last1=Dorst |first1=Leo. |last2=Lasenby |first2=Joan|author2-link=Joan Lasenby |title=Guide to Geometric Algebra in Practice |publisher=Springer |isbn=9780857298119 }}
* {{citation |year=2011 |last=Macdonald |first=Alan |title=Linear and Geometric Algebra |publisher=CreateSpace |url=http://faculty.luther.edu/~macdonal/laga/ |isbn=9781453854938 |oclc=704377582 }}
* {{citation |year=2011 |last=Snygg |first=John |title=A New Approach to Differential Geometry using Clifford's Geometric Algebra |publisher=Springer  |isbn=978-0-8176-8282-8 }}
* {{citation |doi=10.1063/1.4756054 |title=Foundations of Geometric Algebra computing |series=AIP Conference Proceedings |date=2012 |last1=Hildenbrand |first1=Dietmar |journal=Numerical Analysis and Applied Mathematics Icnaam 2012: International Conference of Numerical Analysis and Applied Mathematics |volume=1479 |issue=1 |pages=27–30 |bibcode=2012AIPC.1479...27H }}
* {{citation |arxiv=1307.4179 |last1=Sokolov |first1=Andrey |title=Clifford algebra and the projective model of Minkowski (Pseudo-Euclidean) spaces |date=2013 }}
* {{citation |year=2014 |last=Bromborsky |first=Alan |title=An introduction to Geometric Algebra and Calculus |url=http://mathschoolinternational.com/Math-Books/Books-Geometric-Algebra/Books/An-Introduction-to-Geometric-Algebra-and-Calculus-by-Alan-Bromborsky.pdf |archive-url=https://web.archive.org/web/20191015203752/http://mathschoolinternational.com/Math-Books/Books-Geometric-Algebra/Books/An-Introduction-to-Geometric-Algebra-and-Calculus-by-Alan-Bromborsky.pdf |archive-date=2019-10-15 |url-status=live }}
* {{citation |doi=10.1007/978-3-658-07618-4 |title=Clifford Algebras |date=2015 |last1=Klawitter |first1=Daniel |isbn=978-3-658-07617-7 }}
* {{citation |year=2015 |last=Kanatani |first=Kenichi |title=Understanding Geometric Algebra: Hamilton, Grassmann, and Clifford for Computer Vision and Graphics  |publisher=CRC Press |isbn=978-1-4822-5951-3 }}
* {{cite arXiv |year=2015 |last1=Li |first1=Hongbo |last2=Huang |first2=Lei |last3=Shao |first3=Changpeng |last4=Dong |first4=Lei |title=Three-Dimensional Projective Geometry with Geometric Algebra |eprint=1507.06634v1 |mode=cs2 |class=math.MG }}
* {{citation |doi=10.1007/s00006-016-0664-z |title=The Genesis of Geometric Algebra: A Personal Retrospective |date=2017 |last1=Hestenes |first1=David |journal=Advances in Applied Clifford Algebras |volume=27 |pages=351–379 |s2cid=253592888 }}
* {{citation |doi=10.1007/s00006-015-0625-y |title=3D Oriented Projective Geometry Through Versors of {{tmath|1= \mathbb{R}^{3,3} }} |date=2016 |last1=Dorst |first1=Leo |journal=Advances in Applied Clifford Algebras |volume=26 |issue=4 |pages=1137–1172 |doi-access=free }}
* {{citation |year=2016 |last1=Vaz |first1=Jayme |last2=da Rocha |first2=Roldão |title=An Introduction to Clifford Algebras and Spinors |publisher=Oxford University Press |bibcode=2016icas.book.....V |isbn=978-0-19-878292-6 }}
* {{citation |doi=10.1007/s00006-017-0784-0 |title=Double Conformal Geometric Algebra |date=2017 |last1=Easter |first1=Robert Benjamin |last2=Hitzer |first2=Eckhard |journal=Advances in Applied Clifford Algebras |volume=27 |issue=3 |pages=2175–2199 |s2cid=253600526 }}
* {{citation |doi=10.1007/s00006-017-0798-7 |title=Modeling 3D Geometry in the Clifford Algebra R(4, 4) |date=2017 |last1=Du |first1=Juan |last2=Goldman |first2=Ron |last3=Mann |first3=Stephen |journal=Advances in Applied Clifford Algebras |volume=27 |issue=4 |pages=3039–3062 |s2cid=253587390 }}
* {{citation |year=2018 |last=Bayro-Corrochano |first=Eduardo |series=Geometric Algebra Applications |volume=I |title=Computer Vision, Graphics and Neurocomputing|url=https://books.google.com/books?id=SSVhDwAAQBAJ|publisher=Springer|isbn=978-3-319-74830-6 }}
* {{cite thesis |year=2018 |last= Breuils |first=Stéphane |title=Structure algorithmique pour les opérateurs d'Algèbres Géométriques et application aux surfaces quadriques |type=PHD |publisher=université-paris-est |url= http://monge.univ-mlv.fr/~breuils/manuscritBreuils.pdf |archive-url=https://web.archive.org/web/20190714145624/http://monge.univ-mlv.fr/~breuils/manuscritBreuils.pdf |archive-date=2019-07-14 |url-status=live }}
* {{citation |year=2018 |first1=Carlile |last1=Lavor |first2=Sebastià |last2=Xambó-Descamps |first3=Isiah |last3=Zaplana |title=A Geometric Algebra Invitation to Space-Time Physics, Robotics and Molecular Geometry |url=https://books.google.com/books?id=avBjDwAAQBAJ&pg=PA117 |publisher=Springer |isbn=978-3-319-90665-2 |pages=1– }}
* {{citation |doi=10.1007/s00006-018-0879-2 |title=Geometric Algebra for Conics |date=2018 |last1=Hrdina |first1=Jaroslav |last2=Návrat |first2=Aleš |last3=Vašík |first3=Petr |journal=Advances in Applied Clifford Algebras |volume=28 |issue=3 |s2cid=125649450 }}
* {{citation |doi=10.1007/s00006-019-0974-z |title=Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment |date=2019 |last1=Breuils |first1=Stéphane |last2=Fuchs |first2=Laurent |last3=Hitzer |first3=Eckhard |last4=Nozick |first4=Vincent |last5=Sugimoto |first5=Akihiro |journal=Advances in Applied Clifford Algebras |volume=29 |issue=3 |s2cid=253597480 |url=https://hal.archives-ouvertes.fr/hal-02169419/file/main.pdf }}
* {{citation |year=2019 |first1=Miroslav |last1=Josipović |title=Geometric Multiplication of Vectors: An Introduction to Geometric Algebra in Physics |url=https://books.google.com/books?id=4uG_DwAAQBAJ |publisher=Springer International Publishing;Birkhäuser |isbn=978-3-030-01756-9 |pages=256 |bibcode=2019gmva.book.....J }}
* {{citation |doi=10.1007/978-3-030-61864-3_39 |chapter=Constrained Dynamics in Conformal and Projective Geometric Algebra |title=Advances in Computer Graphics |series=Lecture Notes in Computer Science |date=2020 |last1=Hadfield |first1=Hugo |last2=Lasenby |first2=Joan|author2-link=Joan Lasenby |volume=12221 |pages=459–471 |isbn=978-3-030-61863-6 |s2cid=224820480 |chapter-url=https://www.repository.cam.ac.uk/handle/1810/324261 }}
* {{citation |doi=10.1038/s41598-022-06895-0 |title=A signature invariant geometric algebra framework for spacetime physics and its applications in relativistic dynamics of a massive particle and gyroscopic precession |date=2022 |last1=Wu |first1=Bofeng |journal=Scientific Reports |volume=12 |issue=1 |page=3981 |pmid=35256628 |pmc=8901677 |arxiv=2111.07353 |bibcode=2022NatSR..12.3981W }}
* {{citation |year=2023 |last=Wilmot |first=G.P. |title=The Algebra Of Geometry |website=[[GitHub]] |url=https://github.com/GPWilmot/geoalg}}
* {{citation |year=2024 |last=Lengyel |first=Eric |title=Projective Geometric Algebra Illuminated |location=Lincoln, California |publisher=Terathon Software LLC |isbn=979-8-9853582-5-4 }}
{{refend}}