Talk:Nonstandard calculus: Difference between revisions
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Infinitesimal calculus and nonstandard calculus are entirely different subjects.--[[User:CSTAR|CSTAR]] 02:47, 10 Jun 2005 (UTC) |
Infinitesimal calculus and nonstandard calculus are entirely different subjects.--[[User:CSTAR|CSTAR]] 02:47, 10 Jun 2005 (UTC) |
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:Could you please explain? Thanks, [[User:TacoDeposit|Taco Deposit]] | [[User_talk:TacoDeposit|Talk-o to Taco]] 02:57, Jun 10, 2005 (UTC) |
:Could you please explain? Thanks, [[User:TacoDeposit|Taco Deposit]] | [[User_talk:TacoDeposit|Talk-o to Taco]] 02:57, Jun 10, 2005 (UTC) |
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:: Yes. Infinitesimal calculus is a very broad subject encompassing many different (incompatible with each other, some even failing to be self-consistent) approaches to using infinitesimals as a foundation for analysis. Infinitesimal calculus has deep historical roots which parallel much of the development of modern mathematics. There are various modern (correct) approaches to infinitesimals: Jet bundles for instance, microlocal analysis to name a few. Non-standard calculus is a much narrower subject, based on nonstandard analysis as developed by A Robinson. It is an example of an infinitesimal calculus, however, it should not be conflated with it.--[[User:CSTAR|CSTAR]] 03:09, 10 Jun 2005 (UTC) |
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Revision as of 03:09, 10 June 2005
Examples obviously needdd and maybe should preced the theorems. Exzmples are d/dx x^n and integration of same fns + prodcut and chain rules.CSTAR 21:25, 8 May 2004 (UTC)
Mergefrom tag
Infinitesimal calculus and nonstandard calculus are entirely different subjects.--CSTAR 02:47, 10 Jun 2005 (UTC)
- Could you please explain? Thanks, Taco Deposit | Talk-o to Taco 02:57, Jun 10, 2005 (UTC)
- Yes. Infinitesimal calculus is a very broad subject encompassing many different (incompatible with each other, some even failing to be self-consistent) approaches to using infinitesimals as a foundation for analysis. Infinitesimal calculus has deep historical roots which parallel much of the development of modern mathematics. There are various modern (correct) approaches to infinitesimals: Jet bundles for instance, microlocal analysis to name a few. Non-standard calculus is a much narrower subject, based on nonstandard analysis as developed by A Robinson. It is an example of an infinitesimal calculus, however, it should not be conflated with it.--CSTAR 03:09, 10 Jun 2005 (UTC)