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arXiv 0910.0047math.DGmath.HO
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一个美味的组合:多变量微积分和Differential Forms

A Tasty Combination: Multivariable Calculus and Differential Forms

Edray Herber Goins, Talitha M. Washington

摘要:

微分学是大学数学专业的主要课程。最后,人们厌倦了同样的例行公事,希望有一顿更多样化的饭菜。大学数学专业的学生可能会寻求推广涉及多个变量函数的导数的应用,从而享受多元微积分课程。我们为这篇文章作为一个烹饪指南,区分和整合功能的一个以上的变量-使用微分形式的基础德拉姆上同调。

英文摘要:

Differential Calculus is a staple of the college mathematics major's diet. Eventually one becomes tired of the same routine, and wishes for a more diverse meal. The college math major may seek to generalize applications of the derivative that involve functions of more than one variable, and thus enjoy a course on Multivariate Calculus. We serve this article as a culinary guide to differentiating and integrating functions of more than one variable -- using differential forms which are the basis for de Rham Cohomology.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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