Transdifferential and transintegral calculus

Downloads

[1] 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. [2] 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. [3] 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. [4] 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. [5] 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. [6] Tiago S. dos Reis and James A. D. W. Anderson. Construction of the transcomplex numbers from the complex numbers. This proceedings, 2014. [7] 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. [8] T. B. Ng. Mathematical analysis - an introduction. Url http://tinyurl.com/prunxnc, National University of Singapore, Department of Mathematics, Block S17, 10 Lower Kent Ridge Road, Singapore 119076, July 2012. [9] E. M. Stein and R. Shakarchi. Real Analysis. Princeton University Press, 2005.