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[1] Simon L. Altmann. Rotations, Quaternions and Double Groups. Dover Publications Inc, 1986. [2] J. A. D. W. Anderson. Representing geometrical knowledge. Phil. Trans. Roy. Soc. Lond. Series B., 352(1358):1129{1139, 1997. [3] James A. D. W. Anderson. Exact numerical computation of the rational general linear transformations. In Longin Jan Lateki, David M. Mount, and Angela Y. Wu, editors, Vision Geometry XI, volume 4794 of Proceedings of SPIE, pages 22{28, 2002. [4] James A. D. W. Anderson. Perspex machine xi: Topology of the transreal numbers. In S.I. Ao, Oscar Castillo, Craig Douglas, David Dagan Feng, and Jeong-A Lee, editors, IMECS 2008, pages 330{33, March 2008. [5] James A. D. W. Anderson. Evolutionary and revolutionary e�ects of transcomputation. In 2nd IMA Conference on Mathematics in Defence. Institute of Mathematics and its Applications, Oct. 2011. [6] James A. D. W. Anderson. Trans- oating-point arithmetic removes nine quadrillion redundancies from 64-bit ieee 754 oating-point arithmetic. In this present proceedings, 2014. [7] James A. D. W. Anderson and Tiago S. dos Reis. Transreal limits expose category errors in ieee 754 oating-point arithmetic and in mathematics. In Submitted for consideration in this proceedings, 2014. [8] James A. D. W. Anderson, Norbert V�olker, and Andrew A. Adams. Perspex machine viii: Axioms of transreal arithmetic. In Longin Jan Lateki, David M. Mount, and Angela Y.Wu, editors, Vision Geometry XV, volume 6499 of Proceedings of SPIE, pages 2.1{2.12, 2007. [9] James A.D.W. Anderson and Walter Gomide. Transreal arithmetic as a consistent basis for paraconsistent logics. This proceedings, 2014. [10] Jesper Carlstr�om. Wheels - on division by zero. Mathematical Structures in Computer Science, 14(1):143{184, 2004. [11] Tiago S. dos Reis and James A. D. W. Anderson. Transdi�erential and transintegral calculus. In In this proceedings, 2014. [12] W. Gomide and T. S. dos Reis. N�umeros transreais: Sobre a no�c~ao de dist^ancia. Synesis - Universidade Cat�olica de Petr�opolis, 5(2):153{166, 2013. [13] F. G. Greenleaf. Introduction to Complex Variables. W. B. Saunders Company, 1972. [14] D. Hilbert and S. Cohn-Vossen. Geometry and the Imagination. Chelsea, New York, 1952. [15] J. M. Howie. Complex Analysis. Springer, 2003. [16] Saunders Maclane and Garrett Birkho�. Algebra. Chelsea Pub, 1999 (�rst published 1967). [17] Alberto A. Martinez. The Cult of Pythagoras: Math and Myths. University of Pittsburgh Press, 2012. [18] C. Neumann. Vorlesungen �uber Riemann's Theorie der Abel'schen Integrale. Teubner, Leipzig, 1865. [19] Abraham Robinson. Non-Standard Analysis. Amsterdam: North-Holland Publishing Co., 1966.