Kalkulus multivariabel: Perbedaan antara revisi

{{Kalkulus}}

 

 

== Contoh operasi ==

 

Studi [[limit fungsi|limit]] dan [[fungsi kontinue|kontinuitas]] dalam kalkulus multivariabel menghasilkan banya hasil yang berlawanan dengan naluri yang tidak dihasilkan oleh fungsi-fungsi dengan variabel tunggal.<!-- Misalnya, For example, there are scalar functions of two variables with points in their domain which give a particular limit when approached along any arbitrary line, yet give a different limit when approached along a parabola. For example, the function

:<math>f(x,y) = \frac{x^2y}{x^4+y^2}</math>

| [[Image:Vector field.svg|120px]] || <math>f: \mathbb{R}^m \to \mathbb{R}^n</math> || Any of the operations of [[vector calculus]] including [[gradient]], [[divergence]], and [[Curl (mathematics)|curl]].

|}

 

Multivariable calculus is used in many fields of natural and social science and engineering to model and study high-dimensional systems that exhibit deterministic behavior. Non-deterministic, or [[stochastic process|stochastic]] systems can be studied using a different kind of mathematics, such as [[stochastic calculus]]. Quantitative analysts in finance also often use multivariate calculus to predict future trends in the stock market.

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* [http://www.youtube.com/watch?v=cw6pHhjhKmk&feature=list_related&playnext=1&list=SP07CF868151394FE3 UC Berkeley video lectures on Multivariable Calculus, Fall 2009, Professor Edward Frenkel]

* [http://www.youtube.com/user/MIT#g/c/4C4C8A7D06566F38 MIT video lectures on Multivariable Calculus, Fall 2007]

* [http://www.math.gatech.edu/~cain/notes/calculus.html ''Multivariable Calculus'']: A free online textbook by George Cain and James Herod

* [http://math.etsu.edu/Multicalc/ ''Multivariable Calculus Online'']: A free online textbook by Jeff Knisley