New tools for computational geometry and rejuvenation of screw theory

Geometric Algebra Computing: in Engineering and Computer Science

Volumn , Issue , 2010, Pages 3-33

  Hestenes, David ^a  

^a ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878104716     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/978-1-84996-108-0_1     Document Type: Chapter

References (19)

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2. Hestenes, D., Fasse, E.: Homogeneous rigid body mechanics with elastic coupling. In: Dorst, L., Doran, C., Lasenby, J. (eds.) Applications of Geometric Algebra in Computer Science and Engineering, pp. 197-212. Birkhäuser, Basel (2002)
3. Hestenes, D.: A unified language for mathematics and physics. In: Chisholm, J.S.R., Common, A.K. (eds.) Clifford Algebras and their Applications in Mathematica Physics, pp. 1-23. Reidel, Dordrecht (1986)
4. Hestenes, D.: Space-Time Algebra. Gordon & Breach, New York (1966)
5. Hestenes, D., Sobczyk, G.: CLIFFORD ALGEBRA TO GEOMETRIC CALCULUS, a unified language for mathematics and physics. Kluwer, Dordrecht (1984). Paperback (1985). Fourth printing 1999
6. Doran, C., Lasenby, A.: Geometric Algebra for Physicists. Cambridge University Press, Cambridge (2002)
7. Dorst, L., Fontijne, D., Mann, S.: Geometric Algebra for Computer Science. Morgan Kaufmann Publ., Elsevier, San Mateo, Amsterdam (2007/2009)
8. Li, H.: Invariant Algebras and Geometric Reasoning. World Scientific, Singapore (2008)
9. Hestenes, D.: Grassmann's vision. In: Schubring, G. (ed.) Hermann Günther Grassmann (1809-1877)-Visionary Scientist and Neohumanist Scholar, pp. 191-201. Kluwer, Dordrecht (1996)
10. Clifford,W.K.: Mathematical Papers.Macmillan, London (1882). Ed. by R. Tucker. Reprinted by Chelsea, New York (1968)
11. Doran, C., Hestenes, D., Sommen, F., Van Acker, N.: Lie groups as spin groups. J.Math. Phys. 34, 3642-3669 (1993)
12. Lasenby, A.: Recent applications of conformal geometric algebra. In: Li, H., et al. (ed.) Computer Algebra and Geometric Algebra with Applications. LNCS, vol. 3519, pp. 298-328. Springer, Berlin (2005)
13. Hestenes, D.: The design of linear algebra and geometry. Acta Appl. Math. 23, 65-93 (1991)
14. Onishchik, A., Sulanke, R.: Projective and Cayley-Klein Geometries. Springer, Berlin (2006)
15. Hestenes, D.: New Foundations for Classical Mechanics. Kluwer, Dordrecht (1986). Paperback (1987). Second edition (1999)
16. Selig, J.: Geometrical Methods in Robotics. Springer, Berlin (1996)
17. Ball, R.S.: A Treatise on the Theory of Screws. Cambridge University Press, Cambridge (1900). Reprinted in paperback (1998)
18. Davidson, J., Hunt, K.: Robots and Screw Theory: Applications of Kinematics and Statics to Robotics. Oxford University Press, London (2004)
19. Featherstone, R., Orin, D.: Dynamics. In: Siciliano, B., Khatib, O. (eds.) Springer Handbook of Robotics, pp. 35-65. Springer, Berlin (2008)