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Ishi Press Differential and Integral Calculus Vol. 2 by Richard Courant Translated by Edward James McShane Introduction by Sam Sloan
This is one of the most important and influential books on calculus ever written. It has been reprinted more than twenty times and translated into several other languages including Russian and published in the Soviet Union and many other places. We especially want to thank Marvin Jay Greenberg Emeritus Professor of Mathematics University of California at Santa Cruz for his Appendix on Infinitesimals which includes recent discoveries on Hyperreals and Nilpotent Infinitesimals and for his bibliography and references which include uptodate references to current publications in 2010. This foreword which includes new mathematical discoveries is included in Volume One of this work. A professor of mathematics writes: Ive enjoyed with great pleasure your foreword discovering many interesting things about Courants life and his thoughts. In particular your citations about the antithesis between intuition and rigor were very illuminating because it corresponds to the methodological thread Im trying to follow developing the theory of Fermat reals. Infinitesimals without mysticism explicit or fogged into unclear logical methods seems possible. Now I think we can make a step further because the rigor increases our possibility to understand.show more