【绝对好书】向量与几何微积分

Alan L. Macdonald, "Vector and Geometric Calculus"
English | 2012 | ISBN: 1480132454 | 198 pages | PDF | 7 MB

【作者简介】
Alan L. Macdonald为美国 路德学院（luther college）数学教授。 路德学院成立于1861年，由挪威移民建立，是一所4年制文理学院，位于爱荷华州的迪科拉。路德学院坐落在美国东北部气势浩瀚的爱荷华河边上，是世界最美丽的校园之一。

【教材简介】
离开了代数，几何就是个哑巴；离开了几何，代数就是个瞎子。本书作者集毕生教学经验连续写出了两本广受好评的教材，一是《线性与几何代数》，二是《向量与几何微积分》。本帖提供后面这一本，前面一本另开一贴。
数形结合是你最想要的学习数学方式，那么你还等什么呢....
This textbook for the undergraduate vector calculus course presents a unified treatment of vector and geometric calculus. It is a sequel to the text Linear and Geometric Algebra by the same author. That text is a prerequisite for this one.
Linear algebra and vector calculus have provided the basic vocabulary of mathematics in dimensions greater than one for the past one hundred years. Just as geometric algebra generalizes linear algebra in powerful ways, geometric calculus generalizes vector calculus in powerful ways.
Traditional vector calculus topics are covered, as they must be, since readers will encounter them in other texts and out in the world.
Differential geometry is used today in many disciplines. A final chapter is devoted to it.

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本书姐妹篇《线性与几何代数》在此
https://bbs.pinggu.org/thread-2882328-1-1.html