Mathematics - Revision history

Carl McBride: Added a quote by Auguste Comte

2016-05-24T15:52:46Z

Added a quote by Auguste Comte

← Older revision		Revision as of 17:52, 24 May 2016
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			<blockquote>"Every attempt to employ mathematical methods in the study of chemical questions must be considered profoundly irrational and contrary to the spirit of chemistry. If
			mathematical analysis should ever hold a prominent place in chemistry – an aberration which is happily almost impossible – it would occasion a rapid and widespread degeneration of that science." '''Auguste Comte''' (1830) <ref>[http://gallica.bnf.fr/ark:/12148/bpt6k109113f/f4.item.r=Cours%20de%20philosophie%20positive%20Tome%203 Auguste Comte"Cours de philosophie positive" (Tome 3) 35e Leçon. Considérations philosophiques sur l'ensemble de la chimie (1830)]</ref></blockquote>
	<blockquote>"Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also."		<blockquote>"Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also."
	'''David Hilbert''' (1900) <ref>David Hilbert, excerpt from problem VI of his lecture [http://www.mathunion.org/ICM/ICM1900/Main/icm1900.0058.0114.ocr.pdf "Sur les problèmes futurs des Mathématiques", Second International Congress of Mathematicians, pp. 58-114 Paris (1900)]</ref></blockquote>		'''David Hilbert''' (1900) <ref>David Hilbert, excerpt from problem VI of his lecture [http://www.mathunion.org/ICM/ICM1900/Main/icm1900.0058.0114.ocr.pdf "Sur les problèmes futurs des Mathématiques", Second International Congress of Mathematicians, pp. 58-114 Paris (1900)]</ref></blockquote>
	<blockquote>"Every mathematician knows it is impossible to understand an elementary course in thermodynamics." '''Vladimir I. Arnold''' (1989)<ref> Vladimir I. Arnold "Contact geometry: The geometrical method of Gibbs' thermodynamics," in ''Proceedings of the Gibbs Symposium, Yale University, May 15-17, 1989'' Ed. D. G. Caldi and G. D. Mostow, American Mathematical Society (1990) ISBN 978-0-8218-0157-4 p. 163. </ref></blockquote>		<blockquote>"Every mathematician knows it is impossible to understand an elementary course in thermodynamics." '''Vladimir I. Arnold''' (1989)<ref> Vladimir I. Arnold "Contact geometry: The geometrical method of Gibbs' thermodynamics," in ''Proceedings of the Gibbs Symposium, Yale University, May 15-17, 1989'' Ed. D. G. Caldi and G. D. Mostow, American Mathematical Society (1990) ISBN 978-0-8218-0157-4 p. 163. </ref></blockquote>


	Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].		Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].

Carl McBride: /* Computer assisted mathematics */ Added license info

2016-02-29T17:59:56Z

Computer assisted mathematics: Added license info

← Older revision		Revision as of 19:59, 29 February 2016
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	\|program		\|program
	\|		\|
	\|free		\|free (GNU General Public License)
	\|-		\|-
	\|-		\|-

Carl McBride: /* Computer assisted mathematics */ Added FreemMat

2016-02-29T17:52:56Z

Computer assisted mathematics: Added FreemMat

← Older revision		Revision as of 19:52, 29 February 2016
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	\|'''C'''omputational '''G'''eometry '''A'''lgorithms '''L'''ibrary		\|'''C'''omputational '''G'''eometry '''A'''lgorithms '''L'''ibrary
	\|free, Open Source		\|free, Open Source
			\|-
			\|[http://freemat.sourceforge.net/ FreeMat]
			\|program
			\|
			\|free
			\|-
	\|-		\|-
	\|[[IMSL Numerical Libraries]]		\|[[IMSL Numerical Libraries]]

Carl McBride: Added years

2011-11-11T10:49:10Z

Added years

← Older revision		Revision as of 12:49, 11 November 2011
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	<blockquote>"Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also."		<blockquote>"Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also."
	'''David Hilbert''' <ref>David Hilbert, excerpt from problem VI of his lecture [http://www.mathunion.org/ICM/ICM1900/Main/icm1900.0058.0114.ocr.pdf "Sur les problèmes futurs des Mathématiques", Second International Congress of Mathematicians, pp. 58-114 Paris (1900)]</ref></blockquote>		'''David Hilbert''' (1900) <ref>David Hilbert, excerpt from problem VI of his lecture [http://www.mathunion.org/ICM/ICM1900/Main/icm1900.0058.0114.ocr.pdf "Sur les problèmes futurs des Mathématiques", Second International Congress of Mathematicians, pp. 58-114 Paris (1900)]</ref></blockquote>
	<blockquote>"Every mathematician knows it is impossible to understand an elementary course in thermodynamics." '''Vladimir I. Arnold''' <ref> Vladimir I. Arnold "Contact geometry: The geometrical method of Gibbs' thermodynamics," in ''Proceedings of the Gibbs Symposium, Yale University, May 15-17, 1989'' Ed. D. G. Caldi and G. D. Mostow, American Mathematical Society (1990) ISBN 978-0-8218-0157-4 p. 163. </ref></blockquote>		<blockquote>"Every mathematician knows it is impossible to understand an elementary course in thermodynamics." '''Vladimir I. Arnold''' (1989)<ref> Vladimir I. Arnold "Contact geometry: The geometrical method of Gibbs' thermodynamics," in ''Proceedings of the Gibbs Symposium, Yale University, May 15-17, 1989'' Ed. D. G. Caldi and G. D. Mostow, American Mathematical Society (1990) ISBN 978-0-8218-0157-4 p. 163. </ref></blockquote>

	Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].		Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].

Carl McBride: Added another quotation

2011-11-11T10:48:20Z

Added another quotation

← Older revision		Revision as of 12:48, 11 November 2011
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	~~:''~~ "Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also." ''		<blockquote>"Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also."
	~~:::::~~ '''David Hilbert''' (excerpt from problem #6 of his lecture ''"~~Mathematical Problems~~"'', ~~delivered before the~~ Second International Congress of Mathematicians in ~~Paris~~, ~~1900~~)		'''David Hilbert''' <ref>David Hilbert, excerpt from problem VI of his lecture [http://www.mathunion.org/ICM/ICM1900/Main/icm1900.0058.0114.ocr.pdf "Sur les problèmes futurs des Mathématiques", Second International Congress of Mathematicians, pp. 58-114 Paris (1900)]</ref></blockquote>
			<blockquote>"Every mathematician knows it is impossible to understand an elementary course in thermodynamics." '''Vladimir I. Arnold''' <ref> Vladimir I. Arnold "Contact geometry: The geometrical method of Gibbs' thermodynamics," in ''Proceedings of the Gibbs Symposium, Yale University, May 15-17, 1989'' Ed. D. G. Caldi and G. D. Mostow, American Mathematical Society (1990) ISBN 978-0-8218-0157-4 p. 163. </ref></blockquote>

	Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].		Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].
	==General==		==General==
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	**[http://dx.doi.org/10.1063/1.2743102 Frank Wilczek "Reasonably Effective: II. Devil's Advocate", Physics Today '''May''' pp. 8-9 (2007)]		**[http://dx.doi.org/10.1063/1.2743102 Frank Wilczek "Reasonably Effective: II. Devil's Advocate", Physics Today '''May''' pp. 8-9 (2007)]
	*[http://www.ams.org/bull/1988-19-01/S0273-0979-1988-15634-0/S0273-0979-1988-15634-0.pdf David Ruelle "Is our mathematics natural? The case of equilibrium statistical mechanics", Bulletin of the American Mathematical Society '''19''' pp. 259-268 (1988)]		*[http://www.ams.org/bull/1988-19-01/S0273-0979-1988-15634-0/S0273-0979-1988-15634-0.pdf David Ruelle "Is our mathematics natural? The case of equilibrium statistical mechanics", Bulletin of the American Mathematical Society '''19''' pp. 259-268 (1988)]
			==References==
			<references/>
	==External links==		==External links==
	*[http://www.mathematics.thetangentbundle.net/wiki/Main_Page TheTangentBundle mathematics wiki]		*[http://www.mathematics.thetangentbundle.net/wiki/Main_Page TheTangentBundle mathematics wiki]
	*[http://mathworld.wolfram.com/ Wolfram MathWorld]		*[http://mathworld.wolfram.com/ Wolfram MathWorld]
	[[category: mathematics]]		[[category: mathematics]]

Carl McBride: /* General */ Added an internal link to Quaternions

2011-07-18T13:53:43Z

General: Added an internal link to Quaternions

← Older revision		Revision as of 15:53, 18 July 2011
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	*[[Power series]]		*[[Power series]]
	*[[Predictor-corrector methods]]		*[[Predictor-corrector methods]]
			*[[Quaternions]]
	*[[Random numbers]]		*[[Random numbers]]
	*[[Root finding]]		*[[Root finding]]

Carl McBride: Undo revision 10944 by 70.39.93.16 (talk)

2010-12-30T13:51:17Z

Undo revision 10944 by 70.39.93.16 (talk)

← Older revision		Revision as of 15:51, 30 December 2010
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	:'' "Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable ~~[http://www.thesiswritingservice.com/ thesis writing services]~~ that the discussion of the foundations of mechanics be taken up by mathematicians also." ''		:'' "Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also." ''
	::::: '''David Hilbert''' (excerpt from problem #6 of his lecture ''"Mathematical Problems"'', delivered before the Second International Congress of Mathematicians in Paris, 1900)		::::: '''David Hilbert''' (excerpt from problem #6 of his lecture ''"Mathematical Problems"'', delivered before the Second International Congress of Mathematicians in Paris, 1900)
	Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].		Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].

70.39.93.16 at 20:33, 29 December 2010

2010-12-29T20:33:44Z

← Older revision		Revision as of 22:33, 29 December 2010
Line 1:		Line 1:
	:'' "Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable that the discussion of the foundations of mechanics be taken up by mathematicians also." ''		:'' "Important investigations by physicists on the foundations of mechanics are at hand; I refer to the writings of Mach, Hertz, Boltzmann and Volkmann. It is therefore very desirable [http://www.thesiswritingservice.com/ thesis writing services] that the discussion of the foundations of mechanics be taken up by mathematicians also." ''
	::::: '''David Hilbert''' (excerpt from problem #6 of his lecture ''"Mathematical Problems"'', delivered before the Second International Congress of Mathematicians in Paris, 1900)		::::: '''David Hilbert''' (excerpt from problem #6 of his lecture ''"Mathematical Problems"'', delivered before the Second International Congress of Mathematicians in Paris, 1900)
	Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].		Here are details of mathematical tools that have applications in [[classical thermodynamics]], [[statistical mechanics]] and [[computer simulation techniques]].

Carl McBride: /* General */ Added an internal link to Substantive derivative

2010-05-19T11:22:10Z

General: Added an internal link to Substantive derivative

← Older revision		Revision as of 13:22, 19 May 2010
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	*[[Spherical harmonics]]		*[[Spherical harmonics]]
	*[[Stirling's approximation]]		*[[Stirling's approximation]]
			*[[Substantive derivative]]
	*[[Taylor expansion]]		*[[Taylor expansion]]
	*[[Trotter formula]]		*[[Trotter formula]]

Carl McBride: Added an external links section

2010-05-17T10:02:19Z

Added an external links section

← Older revision		Revision as of 12:02, 17 May 2010
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	**[http://dx.doi.org/10.1063/1.2743102 Frank Wilczek "Reasonably Effective: II. Devil's Advocate", Physics Today '''May''' pp. 8-9 (2007)]		**[http://dx.doi.org/10.1063/1.2743102 Frank Wilczek "Reasonably Effective: II. Devil's Advocate", Physics Today '''May''' pp. 8-9 (2007)]
	*[http://www.ams.org/bull/1988-19-01/S0273-0979-1988-15634-0/S0273-0979-1988-15634-0.pdf David Ruelle "Is our mathematics natural? The case of equilibrium statistical mechanics", Bulletin of the American Mathematical Society '''19''' pp. 259-268 (1988)]		*[http://www.ams.org/bull/1988-19-01/S0273-0979-1988-15634-0/S0273-0979-1988-15634-0.pdf David Ruelle "Is our mathematics natural? The case of equilibrium statistical mechanics", Bulletin of the American Mathematical Society '''19''' pp. 259-268 (1988)]
			==External links==
			*[http://www.mathematics.thetangentbundle.net/wiki/Main_Page TheTangentBundle mathematics wiki]
			*[http://mathworld.wolfram.com/ Wolfram MathWorld]
	[[category: mathematics]]		[[category: mathematics]]