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Non-standard calculus
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11	INFINITESIMALS ARE TOO SMALL FOR COUNTABLY INFINITE FAIR LOTTERIES ALEXANDER R. PRUSS Abstract. We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair Add to Reading List Source URL: alexanderpruss.com Language: English - Date: 2013-06-12 13:10:22 Infinity Abstraction Calculus Real closed field Mathematical logic Infinitesimal Archimedean property Standard part function Measure Mathematics Abstract algebra Non-standard analysis
12	Computing the infinite Sam Sanders1 Tohoku University & Ghent University LICS11, June 22, 2011, Fields Institute, Toronto Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2011-08-06 12:41:28 Abstraction Calculus Mathematical analysis Real closed field Infinitesimal Number Real number Non-standard model of arithmetic Mathematics Infinity Non-standard analysis
13	ANOTHER LOOK AT NON-STANDARD DISCRETE LOG AND DIFFIE-HELLMAN PROBLEMS NEAL KOBLITZ AND ALFRED MENEZES Abstract. We examine several versions of the one-more-discrete-log and one-more-Diffie-Hellman problems. In attempting Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2008-09-21 19:02:16 Finite fields Computational hardness assumptions Cryptographic protocols Group theory Diffie–Hellman problem XTR Index calculus algorithm Diffie–Hellman key exchange Random oracle Cryptography Abstract algebra Mathematics
14	The Mathematics Educator[removed]Vol. 21, No. 2, 58–67 Does 0.999… Really Equal 1? Anderson Norton and Michael Baldwin This article confronts the issue of why secondary and postsecondary students resist accepting t Add to Reading List Source URL: tme.coe.uga.edu Language: English - Date: 2012-08-08 19:27:17 Field theory Elementary mathematics Non-standard analysis Calculus 0.999... Infinitesimal Archimedean property Number Real number Mathematics Abstract algebra Infinity
15	Lecture 15: Integrability and uniform continuity Sorry for this abbreviated lecture. We didn’t complete the proof of properties of the Riemann integral from last time. We could write the definition of continuity as fol Add to Reading List Source URL: math.caltech.edu Language: English - Date: 2013-11-06 10:54:00 Functions and mappings Riemann integral Continuous function Uniform continuity Integral Extreme value theorem Mean value theorem Derivative Non-standard calculus Mathematical analysis Mathematics Calculus
16	PDF Document Add to Reading List Source URL: gfisher.org Language: English - Date: 2010-08-13 00:31:47 Non-standard analysis Infinity Real closed field Augustin-Louis Cauchy (ε δ)-definition of limit Infinitesimal Differential of a function Hyperreal number Continuous function Mathematical analysis Mathematics Calculus
17	6 The Stumbling-blocks of Economics: Complexity, Time and Change Add to Reading List Source URL: www.ase.tufts.edu Language: English - Date: 2010-10-19 12:56:03 Infinity Structure Systems Complex systems theory Calculus Alfred Marshall Complexity Economic model Infinitesimal Mathematics Abstraction Non-standard analysis
18	Georg Cantor[removed]): The man who tamed infinity lecture by Eric Schechter Associate Professor of Mathematics Vanderbilt University Add to Reading List Source URL: www.math.vanderbilt.edu Language: English - Date: 2006-08-02 09:44:36 Calculus Infinitesimal Georg Cantor Number The Analyst Set theory Finite set Mathematics Non-standard analysis Infinity
19	Section 8: Working with the Definitions 8. Working with the Definitions Add to Reading List Source URL: www.math.uakron.edu Language: English - Date: 2002-04-05 21:55:23 Functions and mappings Differential calculus Limit Function Series Limit of a function Non-standard calculus Mathematical analysis Mathematics Calculus
20	These are the notes that I used to give the James Leitzel Lecture. They are not polished but represent my lecture notes. I hope to write an article on this topic in the future. Slide 1: It’s an honor for me to be invi Add to Reading List Source URL: math.arizona.edu Language: English - Date: 2005-08-08 16:43:06 Education reform Mathematics Calculus New Math Modal logic Criticism of non-standard analysis Propositional calculus Mathematics education Logic Education

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