Upper division undergraduate mathematics learning recommendations - Revision history

Vipul at 17:06, 6 March 2014

2014-03-06T17:06:21Z

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	* [http://mathdoctorbob.org/ Math Doctor Bob] has some advanced videos		* [http://mathdoctorbob.org/ Math Doctor Bob] has some advanced videos

			==See also==

			* [[Lower division undergraduate mathematics learning recommendations]]
			* [[Enrichment for undergraduate math majors]]

Jsinick at 00:21, 11 February 2014

2014-02-11T00:21:41Z

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	\| Probability \|\| Part of "probability and statistics" -- may also be covered in statistics courses \|\| \|\| [[Probability and statistics learning recommendations]]		\| Probability \|\| Part of "probability and statistics" -- may also be covered in statistics courses \|\| \|\| [[Probability and statistics learning recommendations]]
	\|}		\|}

	~~==Enrichment for undergraduate math majors==~~

	We list some accessible pure math books that we recommend for undergraduate math majors who are looking to broaden their mathematical horizons and see the material that they're learning in the standard pure math courses used in deeper contexts at our page on [[enrichment for undergraduate math majors]].

	==Helpful general online resources==		==Helpful general online resources==

Jsinick: Jsinick moved page Undergraduate mathematics learning recommendations to Upper division undergraduate mathematics learning recommendations

2014-02-11T00:20:36Z

Jsinick moved page Undergraduate mathematics learning recommendations to Upper division undergraduate mathematics learning recommendations

← Older revision	Revision as of 00:20, 11 February 2014
(No difference)

Vipul: /* Reference websites */

2014-02-10T21:55:14Z

Reference websites

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	* [http://mathworld.wolfram.com Wolfram MathWorld]		* [http://mathworld.wolfram.com Wolfram MathWorld]
	* [http://subwiki.org Subject wikis] (mainly [http://groupprops.subwiki.org Groupprops])		* [http://subwiki.org Subject wikis] (mainly [http://groupprops.subwiki.org Groupprops])
			* [http://www.proofwiki.org ProofWiki]

	===Video resources===		===Video resources===

	* [http://mathdoctorbob.org/ Math Doctor Bob] has some advanced videos		* [http://mathdoctorbob.org/ Math Doctor Bob] has some advanced videos

Jsinick at 20:44, 10 February 2014

2014-02-10T20:44:44Z

← Older revision		Revision as of 20:44, 10 February 2014
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	\|}		\|}

	==Enrichment for ~~college~~ math majors==		==Enrichment for undergraduate math majors==

	We list some accessible pure math books that we recommend for ~~college~~ math majors who are looking to broaden their mathematical horizons and see the material that they're learning in the standard pure math courses used in deeper contexts at our page on [[enrichment for ~~college~~ math majors]].		We list some accessible pure math books that we recommend for undergraduate math majors who are looking to broaden their mathematical horizons and see the material that they're learning in the standard pure math courses used in deeper contexts at our page on [[enrichment for undergraduate math majors]].

	==Helpful general online resources==		==Helpful general online resources==

Jsinick at 20:37, 10 February 2014

2014-02-10T20:37:18Z

← Older revision		Revision as of 20:37, 10 February 2014
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	\| Probability \|\| Part of "probability and statistics" -- may also be covered in statistics courses \|\| \|\| [[Probability and statistics learning recommendations]]		\| Probability \|\| Part of "probability and statistics" -- may also be covered in statistics courses \|\| \|\| [[Probability and statistics learning recommendations]]
	\|}		\|}

			==Enrichment for college math majors==

			We list some accessible pure math books that we recommend for college math majors who are looking to broaden their mathematical horizons and see the material that they're learning in the standard pure math courses used in deeper contexts at our page on [[enrichment for college math majors]].

	==Helpful general online resources==		==Helpful general online resources==

Vipul: /* Learning recommendations by subject area */

2014-02-01T17:43:20Z

Learning recommendations by subject area

← Older revision		Revision as of 17:43, 1 February 2014
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	\|-		\|-
	\| Abstract algebra \|\| Groups, rings, and fields \|\| Books by [http://www.amazon.com/Book-Abstract-Algebra-Edition-Mathematics/dp/0486474178/ Charles Pinter] and [http://www.amazon.com/Abstract-Algebra-Edition-David-Dummit/dp/0471433349 Dummit and Foote] \|\|[[Abstract algebra learning recommendations]]		\| Abstract algebra \|\| Groups, rings, and fields \|\| Books by [http://www.amazon.com/Book-Abstract-Algebra-Edition-Mathematics/dp/0486474178/ Charles Pinter] and [http://www.amazon.com/Abstract-Algebra-Edition-David-Dummit/dp/0471433349 Dummit and Foote] \|\|[[Abstract algebra learning recommendations]]
			\|-
			\| Probability \|\| Part of "probability and statistics" -- may also be covered in statistics courses \|\| \|\| [[Probability and statistics learning recommendations]]
	\|}		\|}

Vipul at 17:01, 1 February 2014

2014-02-01T17:01:40Z

← Older revision		Revision as of 17:01, 1 February 2014
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	\| Abstract algebra \|\| Groups, rings, and fields \|\| Books by [http://www.amazon.com/Book-Abstract-Algebra-Edition-Mathematics/dp/0486474178/ Charles Pinter] and [http://www.amazon.com/Abstract-Algebra-Edition-David-Dummit/dp/0471433349 Dummit and Foote] \|\|[[Abstract algebra learning recommendations]]		\| Abstract algebra \|\| Groups, rings, and fields \|\| Books by [http://www.amazon.com/Book-Abstract-Algebra-Edition-Mathematics/dp/0486474178/ Charles Pinter] and [http://www.amazon.com/Abstract-Algebra-Edition-David-Dummit/dp/0471433349 Dummit and Foote] \|\|[[Abstract algebra learning recommendations]]
	\|}		\|}

			==Helpful general online resources==

			===Question-and-answer websites===

			* [http://math.stackexchange.com Math StackExchange] is a good place to ask and answer questions as well as to browse an existing library of questions, provided your questions are related to highly specific aspects of mathematics.
			* [http:///www.quora.com Quora] is a good place to look for questions and answers about the importance or about ways of studying particular branches of mathematics.
			* [http://www.mathoverflow.net MathOverflow] is a place for graduate-level and higher mathematics. MathOverflow emphatically does not encourage questions asking for undergraduate homework help, but if you have progressed to the stage where you are reading research papers or attempting your own original research, it might be a useful place to ask questions related to those.

			===Reference websites===

			* [http://www.planetmath.org PlanetMath]
			* [http://mathworld.wolfram.com Wolfram MathWorld]
			* [http://subwiki.org Subject wikis] (mainly [http://groupprops.subwiki.org Groupprops])

			===Video resources===

			* [http://mathdoctorbob.org/ Math Doctor Bob] has some advanced videos

Vipul at 16:51, 1 February 2014

2014-02-01T16:51:38Z

← Older revision		Revision as of 16:51, 1 February 2014
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	This page contains some learning recommendations for people undertaking undergraduate studies in mathematics. This includes:		This page contains some learning recommendations for people undertaking [[undergraduate mathematics\|undergraduate studies in mathematics]]. This includes:

	* People who are considering going on to graduate studies in mathematics (with the possible intention of continuing into academia)		* People who are considering going on to graduate studies in mathematics (with the possible intention of continuing into academia)

Vipul: /* Learning recommendations by subject area */

2014-02-01T16:50:45Z

Learning recommendations by subject area

← Older revision		Revision as of 16:50, 1 February 2014
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	\| Undergraduate analysis (focused on real analysis) \|\| Generally designed to serve the dual purpose of introducing students to basic ideas of analysis and to expose them to general mathematical ideas, including both proof-writing skills and a few definitions from algebra, logic, and set theory \|\| Books by [http://www.amazon.com/Introduction-Analysis-Dover-Books-Mathematics-ebook/dp/B00CB2MK12/ Maxwell Rosenlicht], [http://www.amazon.com/Mathematical-Analysis-Undergraduate-Texts-Mathematics/dp/0387952977/ Charles Pugh], and [http://www.amazon.com/Principles-Mathematical-Analysis-International-Mathematics/dp/007054235X/ Walter Rudin] \|\| [[Undergraduate analysis learning recommendations]]		\| Undergraduate analysis (focused on real analysis) \|\| Generally designed to serve the dual purpose of introducing students to basic ideas of analysis and to expose them to general mathematical ideas, including both proof-writing skills and a few definitions from algebra, logic, and set theory \|\| Books by [http://www.amazon.com/Introduction-Analysis-Dover-Books-Mathematics-ebook/dp/B00CB2MK12/ Maxwell Rosenlicht], [http://www.amazon.com/Mathematical-Analysis-Undergraduate-Texts-Mathematics/dp/0387952977/ Charles Pugh], and [http://www.amazon.com/Principles-Mathematical-Analysis-International-Mathematics/dp/007054235X/ Walter Rudin] \|\| [[Undergraduate analysis learning recommendations]]
	\|-		\|-
	\| Point set topology \|\| A rigorous foundation that helps provide sufficiently general definitions of continuity, connectedness, compactness, open and closed sets, and related ideas. Typically studied after undergraduate analysis, but smart and motivated people familiar with abstraction may choose to study it before. \|\| \|\| [[Topology learning recommendations]]		\| Point set topology \|\| A rigorous foundation that helps provide sufficiently general definitions of continuity, connectedness, compactness, open and closed sets, and related ideas. Typically studied after undergraduate analysis, but smart and motivated people familiar with abstraction may choose to study it before. \|\| Books by [http://www.amazon.com/Topology-2nd-Edition-James-Munkres/dp/0131816292 James Munkres] and [http://www.amazon.com/Introduction-Topology-Second-Edition-Mathematics/dp/0486406806/ Gamelin and Greene] \|\| [[Topology learning recommendations]]
	\|-		\|-
	\| Abstract algebra \|\| Groups, rings, and fields \|\| \|\|[[Abstract algebra learning recommendations]]		\| Abstract algebra \|\| Groups, rings, and fields \|\| Books by [http://www.amazon.com/Book-Abstract-Algebra-Edition-Mathematics/dp/0486474178/ Charles Pinter] and [http://www.amazon.com/Abstract-Algebra-Edition-David-Dummit/dp/0471433349 Dummit and Foote] \|\|[[Abstract algebra learning recommendations]]
	\|}		\|}