Transreal limits and elementary functions

[1] J. A. D.W. Anderson. Representing geometrical knowledge. Phil. Trans. Roy. Soc. Lond. Series B., 352(1358):1129–1139, 1997. [2] James A. D. W. Anderson. Perspex machine ix: Transreal analysis. In Longin Jan Lateki, David M. Mount, and Angela Y. Wu, editors, Vision Geometry XV, volume 6499 of Proceedings of SPIE, pages J1–J12, 2007. [3] James A. D. W. Anderson and Tiago S. dos Reis. Transreal limits expose category errors in ieee 754 floating-point arithmetic and in mathematics. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 86–91, 2014. [4] 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. [5] Tiago S. dos Reis and James A. D. W. Anderson. Construction of the transcomplex numbers from the complex numbers. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 97–102, 2014. [6] Tiago S. dos Reis and James A. D.W. Anderson. Transdifferential and transintegral calculus. In Lecture Notes in Engineering and Computer Science: Proceedings of The World Congress on Engineering and Computer Science 2014, WCECS 2014, 22-24 October, 2014, San Francisco, USA., volume 1, pages 92–96, 2014. [7] Tiago S. dos Reis and James A. D. W. Anderson. Transreal calculus. IAENG International Journal of Applied Mathematics, 45(1):51–63, 2015. 15