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books.txt
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books.txt
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TODO: Think that Mauro also had a cache of GA related ebooks in his dropbox folder.
================
UofT library books that I didn't borrow.
*)
Geometric computing with Clifford algebra : theoretical foundations and applications in computer vision and robotics /
Gerald Sommer (ed.).
Berlin ; New York : Springer, c2001.
Mathematical Sciences Stacks QA199 .G46 2001X
-- N/A.
*)
Applications of geometric algebra in computer science and engineering /
Leo Dorst, Chris Doran, Joan Lasenby (eds.)
Boston : Birkhauser, c2002.
Engineering & Comp. Sci.
QA76.9 .M35 A658 2002X
-- one article "A Hestenes STA approach to Light Polarization" by Sugon and McNamera was relavent (Stokes, Poincare sphere, e&m tensor content), but all in GAFP.
*)
Clifford algebras : applications to mathematics, physics, and engineering /
Rafał Abłamowicz, editor.
Physics Stacks QA199 .C554 2003
-- The Doran and Lasenby chapter is relavent, but it's a rehash of GAFP. Didn't borrow from the library.
*)
Geometric algebra and applications to physics /
Venzo de Sabbata, Bidyut Kumar Datta.
Gerstein Science Stacks QC20.7 .A37 D4 2007X
-- very little E&M. nothing new ; mainly plane waves in STA.
====================================
Notes on UofT Library books borrowed.
*)
Lectures on Clifford geometric algebras and applications /
Rafał Abłamowicz, Garret Sobczyk, editors.
Mathematical Sciences
QA199 .L43 2004X
*) Chapter 1: nice intro by Pertti Lounesto, a compact version of what's in his "Clifford Algebras and Spinors".
*) Chapter 3: very opaque treatment of geometric calculus.
*) Chapter 4: Applications of Clifford Algebras in Physics. Baylis.
-- paravector treatment of Lorentz transformations and relativity (including doppler shift)
-- paravector Lorentz force, and solution of proper time charged particle trajectory.
-- plane waves treated much like I did. I used the Gaussian pulse example (Example 39).
-- Stokes parameters for describing Polarization.
-- Lienard-Wiechert field (relativistic)
*) Appendix: Software survey (circa 2004).
*)
[BOOK] Clifford algebras and spinors
P Lounesto - 2001 - books.google.com
Math
QA 199 L68 2001
*) paravector treatment of Lorentz transformations
*) Lorentz transformations and transformations of e&m field
*) F & G GA formulation of maxwells's equations (one dot and one wedge). nothing much done with them.
*) energy-momentum tensor in paravector and STA vector forms.
*) chapter: hypercomplex analysis: GC, Cauchy-Riemann, Stokes, tangent planes, monogenic theory,
*)
Clifford algebra to geometric calculus : a unified language for mathematics and physics /
by David Hestenes and Garret Sobczyk.
Gerstein Science
QA199 .H47 1984
- There's a _lot_ in this book, but it is general, not specifically related to e&m.
Some interesting stuff includes the generalizations of Cauchy's theorem to multivectors.
- The intro material is done very nicely (axiomatic and not confusing), in stark
contrast to the followup to this book (New Foundations of Classical Mechanics).
*)
Geometric algebra with applications in science and engineering /
Eduardo Bayro Corrochano, Garret Sobczyk, editors.
Boston : Birkhäuser, c2001.
Mathematical Sciences
QA564 .G463 2001X
- There are two chapters of this that are relavant to e&m, but one is a subset of Baylis'
book, and the other a subset of GAFP.
================
UofT library books borrowed to summarize.
*)
Electrodynamics : a modern geometric approach /
William E. Baylis.
Physics
QC631 .B333 1999X
*)
Multivectors and Clifford algebra in electrodynamics
Bernard Jancewicz.
Gerstein Science
QC631 .J36 1988
-- uses non-standard names for bivectors (volutors)
-- uses hats on bivectors and trivectors (haven't seen anybody else doing that)
-- re-dimensionalizes maxwells equation, which requires adding in additional spacetime derivative terms for sqrt(mu), sqrt(epsilon)
to compenstate. those fall out when those are constant in time and space, but make things more complicated otherwise.
despite doing this, he then proceeds to work with E,H,D,B instead of his re-dimensionalized e,h,d,b. This initially gives the impression
that he is treating cases other than D=epsilon E, B = mu H, but that isn't the case.
-- ends with an STA treatment with respect to relativity, despite using "paravectors" (like Baylis) in the preceding portion of the book.
... more to read, in particular, worked problems.
*)
Clifford (geometric) algebras with applications to physics, mathematics, and engineering /
William E. Baylis
Gerstein Science
QC20.7 .C55 C58 1996X
GAFP refers to this for additional info on electrodynamics. (i.e. Banff lectures chapter 7 endnotes.)
In particular:
- 8.1.2 Reflection by a conducting plane.
- 8.1.3 Waves in layered media.
- 8.3+ some of the applications to point charges differ from the book (look like they are a
little more verbose).
*)
Classical electrodynamics
Julian Schwinger
Gerstein Science
QC631 .C537 1998
*)
================
*)
Guide to geometric algebra in practice [electronic resource] /
Leo Dorst, Joan Lasenby, editors.
London ; New York : Springer, c2011.
Book
================
downloaded:
*)
A new approach to differential geometry using Clifford's geometric algebra [electronic resource] /
John Snygg.
New York ; London : Birkhäuser/Springer, [2012]
A new approach to differential geometry using Clifford's geometric algebra
*)
Geometric algebra with applications in engineering [electronic resource] /
Christian Perwass.
Book
*)
Understanding Geometric Algebra
Hamilton, Grassmann, and Clifford for Computer Vision and Graphics
Kenichi Kanatani
*)
Geometric algebra computing [electronic resource] : in engineering and computer science /
Eduardo Bayro-Corrochano, Gerik Scheuermann, editors.
London ; New York : Springer, c2010.
*)
Foundation Mathematics for Computer Science [electronic resource] : A Visual Approach /
by John Vince.
Cham : Springer International Publishing : Imprint: Springer, 2015.
*)
J.W.Arthur,Understanding Geometric Algebra for Electromagnetic Theory,
John Wiley&Sons,Hoboken-NewJersey,2011.
*) Constitutive relations in optics in terms of geometric algebra
A. Darygys
STA approach to encoding different types of \chi^{ijkl} tensors transforming between F,G bivector fields using GA. No discussion of actually solving such problems.
cite this in the inMatter.tex
*) T.G.Vold,Am.J.Phys.61(1993)491,505.
An introduction to geometric algebra with an application in rigid body mechanics
by Vold, Terje G .
American Journal of Physics , 1993 , Volume 61 , Issue 6 , pp. 491 - 504
An introduction to geometric calculus and its application to electrodynamics
by Vold, Terje G .
American Journal of Physics , 1993 , Volume 61 , Issue 6 , pp. 505 - 513
(recommended by Darygys)
*) Snygg. Clifford Algebra, a computational tool for physicists
(print copy missing from library. Annoying e-web browser viewer version is available)
*)
galoop.de
Foundations of geometric algebra computing [electronic resource] /
Dietmar Hildenbrand.
Berlin ; New York : Springer-Verlag, c2013.
http://books2.scholarsportal.info.myaccess.library.utoronto.ca/viewdoc.html?id=/ebooks/ebooks3/springer/2013-08-13/2/9783642317941
https://www.youtube.com/watch?v=1cWGV2qaBHo
================
Applications of the Clifford algebra valued boundary element method to electromagnetic scattering problems
by Chen, Jeng-Tzong and Hong, Hong-Ki and Liu, Li-Wei and Lee, Jia-Wei .
Engineering Analysis with Boundary Elements , 2016 , Volume 71 , pp. 140 - 150
Applications of Clifford’s Geometric Algebra
by Hitzer, Eckhard and Nitta, Tohru and Kuroe, Yasuaki .
Advances in Applied Clifford Algebras , 2013 , Volume 23 , Issue 2 , pp. 377 - 404
Spacetime algebra and electron physics
C Doran, A Lasenby, S Gull, S Somaroo… - Advances in imaging and …, 1996 - Elsevier
[BOOK] Geometric algebra for computer graphics
J Vince - 2008 - books.google.com
[BOOK] Quaternions, Clifford algebras and relativistic physics
PR Girard - 2007 - books.google.com
Relativity in Clifford's geometric algebras of space and spacetime
WE Baylis, G Sobczyk - International Journal of Theoretical Physics, 2004 - Springer
The spacetime algebra approach to massive classical electrodynamics with magnetic monopoles
C Cafaro, SA Ali - Advances in Applied Clifford Algebras, 2007 - Springer
[BOOK] A Convariant Approach to Geometry Using Geometric Algebra
A Lasenby, J Lasenby, R Wareham - 2004 - montgomerycollege.edu
[HTML] Revisiting special relativity: A natural algebraic alternative to Minkowski spacetime
JM Chappell, A Iqbal, N Iannella, D Abbott - PloS one, 2012 - journals.plos.org
Geometric algebra for electrical and electronic engineers
JM Chappell, SP Drake, CL Seidel… - Proceedings of the …, 2014 - ieeexplore.ieee.org
A survey of geometric algebra and geometric calculus
A Macdonald - Advances in Applied Clifford Algebras, 2017 - Springer
Conformal geometry, Euclidean space and geometric algebra
C Doran, A Lasenby, J Lasenby - KLUWER INTERNATIONAL SERIES IN …, 2002 - Springer
Clifford algebra, geometric algebra, and applications
D Lundholm, L Svensson - arXiv preprint arXiv:0907.5356, 2009 - arxiv.org
Beamforming with distortionless co-polarisation for conformal arrays based on geometric algebra
L Zou, J Lasenby, Z He - IET radar, sonar & navigation, 2011 - IET
[BOOK] Geometric algebra: An algebraic system for computer games and animation
JA Vince - 2009 - Springer
The complex algebra of physical space: a framework for relativity
WE Baylis, JD Keselica - Advances in Applied Clifford Algebras, 2012 - Springer
Generalized relativistic velocity addition with spacetime algebra
CR Paiva, MA Ribeiro - arXiv preprint physics/0511247, 2005 - arxiv.org