Functions of Several Variables - Revision history

Lila: /* Resources */

2021-11-02T16:22:33Z

Resources

Lila at 15:50, 6 October 2021

2021-10-06T15:50:06Z

Lila at 15:49, 6 October 2021

2021-10-06T15:49:21Z

Lila: /* Resources */

2021-10-06T15:46:31Z

Resources

Lila: /* Topology in \R^n */

2021-10-06T15:45:19Z

Topology in \R^n

Lila at 15:44, 6 October 2021

2021-10-06T15:44:48Z

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Khanh: Created page with "* [https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx Functions of Several Variables], Paul's Online Notes * [https://math.libretexts.org/Bookshelves/Calculus..."

2021-09-26T02:23:44Z

Created page with "* [https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx Functions of Several Variables], Paul's Online Notes * [https://math.libretexts.org/Bookshelves/Calculus..."

New page

* [https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx Functions of Several Variables], Paul's Online Notes
* [https://math.libretexts.org/Bookshelves/Calculus/Map%3A_Calculus__Early_Transcendentals_(Stewart)/14%3A_Partial_Derivatives/14.01%3A_Functions_of_Several_Variables Functions of Several Variables], Mathematics LibreTexts

← Older revision		Revision as of 16:22, 2 November 2021
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	* [https://math.libretexts.org/Bookshelves/Calculus/Map%3A_Calculus__Early_Transcendentals_(Stewart)/14%3A_Partial_Derivatives/14.01%3A_Functions_of_Several_Variables Functions of Several Variables], Mathematics LibreTexts		* [https://math.libretexts.org/Bookshelves/Calculus/Map%3A_Calculus__Early_Transcendentals_(Stewart)/14%3A_Partial_Derivatives/14.01%3A_Functions_of_Several_Variables Functions of Several Variables], Mathematics LibreTexts
	* [https://en.wikibooks.org/wiki/Calculus/Multivariable_calculus Multivariable Calculus], WikiBooks: Calculus		* [https://en.wikibooks.org/wiki/Calculus/Multivariable_calculus Multivariable Calculus], WikiBooks: Calculus
		+
		+	==Licensing==
		+	Content obtained and/or adapted from:
		+	* [https://en.wikibooks.org/wiki/Calculus/Multivariable_calculus Multivariable Calculus, WikiBooks: Calculus] under a CC BY-SA license

← Older revision		Revision as of 15:50, 6 October 2021
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−	See also: [[Equations of Lines, Planes and Surfaces in Space]]	+	'''See also: [[Equations of Lines, Planes and Surfaces in Space]]'''
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	This chapter serves as an introduction to multivariable calculus. Multivariable calculus is more complicated than when we were dealing with single-variable functions because more variables means more situations to be concerned about. In the following chapters, we will be discussing limits, differentiation, and integration of multivariable functions, using single-variable calculus as our basis.		This chapter serves as an introduction to multivariable calculus. Multivariable calculus is more complicated than when we were dealing with single-variable functions because more variables means more situations to be concerned about. In the following chapters, we will be discussing limits, differentiation, and integration of multivariable functions, using single-variable calculus as our basis.

← Older revision		Revision as of 15:49, 6 October 2021
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		+	See also: [[Equations of Lines, Planes and Surfaces in Space]]
		+
	This chapter serves as an introduction to multivariable calculus. Multivariable calculus is more complicated than when we were dealing with single-variable functions because more variables means more situations to be concerned about. In the following chapters, we will be discussing limits, differentiation, and integration of multivariable functions, using single-variable calculus as our basis.		This chapter serves as an introduction to multivariable calculus. Multivariable calculus is more complicated than when we were dealing with single-variable functions because more variables means more situations to be concerned about. In the following chapters, we will be discussing limits, differentiation, and integration of multivariable functions, using single-variable calculus as our basis.
	==Topology in <math>\R^n</math>==		==Topology in <math>\R^n</math>==

← Older revision		Revision as of 15:46, 6 October 2021
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	* [https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx Functions of Several Variables], Paul's Online Notes		* [https://tutorial.math.lamar.edu/classes/calciii/multivrblefcns.aspx Functions of Several Variables], Paul's Online Notes
	* [https://math.libretexts.org/Bookshelves/Calculus/Map%3A_Calculus__Early_Transcendentals_(Stewart)/14%3A_Partial_Derivatives/14.01%3A_Functions_of_Several_Variables Functions of Several Variables], Mathematics LibreTexts		* [https://math.libretexts.org/Bookshelves/Calculus/Map%3A_Calculus__Early_Transcendentals_(Stewart)/14%3A_Partial_Derivatives/14.01%3A_Functions_of_Several_Variables Functions of Several Variables], Mathematics LibreTexts
		+	* [https://en.wikibooks.org/wiki/Calculus/Multivariable_calculus Multivariable Calculus], WikiBooks: Calculus

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 and <math>f(\vec{x})</math> for the function that maps a vector in <math>\R^m</math> to a vector in <math>\R^n</math> .
-Before we can do calculus in <math>\R^n</math> , we must familiarize ourselves with the structure of <math>\R^n</math> . We need to know which properties of <math>\R</math> can be extended to <math>\R^n</math> . This page assumes at least some familiarity with basic [[linear algebra]].
+Before we can do calculus in <math>\R^n</math> , we must familiarize ourselves with the structure of <math>\R^n</math> . We need to know which properties of <math>\R</math> can be extended to <math>\R^n</math> . This page assumes at least some familiarity with basic linear algebra.
 === Lengths and distances===