operations of calculus using limits rather than infinitesimals. Nonstandard analysis instead reformulates the calculus using a logically rigorous notion of infinitesimal...
31 KB (3,978 words) - 00:54, 22 April 2025
Abraham Robinson's theory of nonstandard analysis has been applied in a number of fields. "Radically elementary probability theory" of Edward Nelson combines...
5 KB (653 words) - 09:54, 2 April 2025
Nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes...
28 KB (3,520 words) - 13:42, 3 July 2024
Hyperreal number (redirect from Nonstandard real numbers)
Constructive nonstandard analysis Hyperinteger – A hyperreal number that is equal to its own integer part Influence of nonstandard analysis Nonstandard calculus –...
33 KB (4,923 words) - 09:52, 14 December 2024
Elementary Calculus: An Infinitesimal Approach (category Nonstandard analysis)
_{10}(xy)=\log _{10}x+\log _{10}y} . Criticism of nonstandard analysis Influence of nonstandard analysis Nonstandard calculus Increment theorem Keisler 2011...
13 KB (1,370 words) - 18:05, 24 January 2025
Abraham Robinson (category Alumni of the University of London)
1974) was a mathematician who is most widely known for development of nonstandard analysis, a mathematically rigorous system whereby infinitesimal and infinite...
9 KB (756 words) - 01:22, 11 May 2025
Augustin-Louis Cauchy (category Fellows of the American Academy of Arts and Sciences)
one of the first to rigorously state and prove the key theorems of calculus (thereby creating real analysis), pioneered the field complex analysis, and...
42 KB (5,401 words) - 13:56, 31 March 2025
The Analyst (redirect from Ghosts of departed quantities)
"Newton and the notion of limit", Historia Math., 28 (1): 393–30, doi:10.1006/hmat.2000.2301 Robert, Alain (1988), Nonstandard analysis, New York: Wiley,...
18 KB (2,065 words) - 07:11, 18 February 2025
Pierre de Fermat (category History of calculus)
much influenced by the work of François Viète. In 1630, he bought the office of a councilor at the Parlement de Toulouse, one of the High Courts of Judicature...
22 KB (2,384 words) - 22:14, 21 April 2025
Peter A. Loeb (category University of Illinois Urbana-Champaign faculty)
20, 2024. He was survived by his wife of 66 years and their three children. Influence of nonstandard analysis Peter A. Loeb (2019-10-26). "Biographical...
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Ultraproduct (redirect from The fundamental theorem of ultraproducts)
construct nonstandard models of analysis, leading to the growth of the area of nonstandard analysis, which was pioneered (as an application of the compactness...
18 KB (3,108 words) - 20:35, 16 August 2024
sociolinguistic prestige than other, nonstandard lects and are generally thought of as "correct" by speakers of the language. Since the selection is an...
14 KB (1,670 words) - 20:59, 3 April 2025
Calculus (redirect from Degree of smallness)
which denotes courses of elementary mathematical analysis. In Latin, the word calculus means “small pebble”, (the diminutive of calx, meaning "stone")...
75 KB (8,785 words) - 22:41, 12 May 2025
In social sciences, sequence analysis (SA) is concerned with the analysis of sets of categorical sequences that typically describe longitudinal data....
97 KB (10,190 words) - 02:48, 29 April 2025
Robert Goldblatt (category Academic staff of Victoria University of Wellington)
introduction to nonstandard analysis. In 1987 he took "a trip on Einstein's train" to develop hyperbolic orthogonality, the geometry of relativity of simultaneity...
5 KB (503 words) - 14:35, 19 December 2024
Nigel Cutland (category Academics of the University of York)
ISBN 9783540413844. Influence of non-standard analysis "Professor Nigel Cutland". Department of Mathematics. The University of York. Retrieved 25 October...
2 KB (127 words) - 07:05, 8 January 2025
Leif Arkeryd (category Academic staff of the Chalmers University of Technology)
supervision of Jaak Peetre. Arkeryd, Leif: On the Boltzmann equation. I. Existence. Arch. Rational Mech. Anal. 45 (1972), 1–16. Nonstandard analysis. Theory...
1 KB (136 words) - 01:13, 4 June 2023
Leonhard Euler (category Fellows of the American Academy of Arts and Sciences)
of graph theory and topology and made influential discoveries in many other branches of mathematics, such as analytic number theory, complex analysis...
107 KB (10,831 words) - 13:51, 2 May 2025
analyzed in terms of both his own historical and economic theories, and in light of their potential applications of nonstandard analysis. Marx left over...
11 KB (1,247 words) - 08:15, 30 January 2025
Robert M. Anderson (mathematician) (category University of California, Berkeley College of Letters and Science faculty)
primarily within General Equilibrium Theory. Some of this work uses nonstandard analysis, but much of it provides simple elementary treatments that generalize...
10 KB (969 words) - 20:18, 3 March 2025
The calculus of variations (or variational calculus) is a field of mathematical analysis that uses variations, which are small changes in functions and...
58 KB (9,524 words) - 13:16, 7 April 2025
patterns that establish her rural, Southern-influenced character. These included 121 instances of nonstandard grammar (such as auxiliary verb deletion,...
15 KB (1,467 words) - 18:38, 13 May 2025
(including chloroplasts). Other amino acids are called nonstandard or non-canonical. Most of the nonstandard amino acids are also non-proteinogenic (i.e. they...
94 KB (10,035 words) - 02:15, 3 May 2025
Non-standard cosmology (redirect from Nonstandard cosmology)
generally considered unworthy of consideration by cosmologists while many of the historically significant nonstandard cosmologies are considered to have...
35 KB (4,535 words) - 02:19, 8 April 2025
Monte Carlo method (redirect from Monte Carlo analysis)
"Monte Carlo Computation of the Fisher Information Matrix in Nonstandard Settings". Journal of Computational and Graphical Statistics. 14 (4): 889–909. CiteSeerX 10...
91 KB (10,690 words) - 23:18, 29 April 2025
Set theory (redirect from Theory of sets)
(November 1977), "Internal Set Theory: a New Approach to Nonstandard Analysis", Bulletin of the American Mathematical Society, 83 (6): 1165, doi:10...
54 KB (6,575 words) - 12:01, 1 May 2025
The Blob (film series) (category Pages using infobox film with nonstandard dates)
Blob (1958) has been deemed a horror classic of U.S. cinema, by modern day critics who cite its influence over contemporary films. Its 1972 sequel was...
30 KB (1,978 words) - 15:29, 6 February 2025
Semyon Kutateladze (category Academic staff of Novosibirsk State University)
Journal of Applied and Industrial Mathematics, 2011, Vol. 5, No. 3, 365–373. Kutateladze S.S. Nonstandard analysis: its creator and place. Journal of Applied...
10 KB (747 words) - 16:40, 7 May 2025
New Jersey (redirect from State of New Jersey)
certification process. The U.S. Bureau of Economic Analysis estimates that New Jersey's gross state product in the third quarter of 2022 was $753 billion. New Jersey's...
281 KB (23,832 words) - 20:29, 7 May 2025
Gottfried Wilhelm Leibniz (redirect from System of Leibniz)
ideology, and the politics of infinitesimals: mathematical logic and nonstandard analysis in modern China". History and Philosophy of Logic. 24 (4): 327–363...
155 KB (19,219 words) - 11:42, 13 May 2025