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2014-01-29

【绝对好书】线性与几何代数


Alan L. Macdonald, "Linear and Geometric Algebra"
English | 2011 | ISBN: 1453854932 | 218 pages | PDF | 3 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。
Linear and Geometric Algebra.jpg
【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》。本帖提供前面这一本,后面一本另开一贴。
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 first undergraduate linear algebra course presents a unified treatment of linear algebra and geometric algebra, while covering most of the usual linear algebra topics. Geometric algebra is an extension of linear algebra. It enhances the treatment of many linear algebra topics. And geometric algebra does much more. Geometric algebra and its extension to geometric calculus unify, simplify, and generalize vast areas of mathematics that involve geometric ideas. They provide a unified mathematical language for many areas of physics, computer science, and other fields. The book can be used for self study by those comfortable with the theorem/proof style of a mathematics text. This is a second printing, corrected and slightly revised. Visit the book’s web site for more information: http://faculty.luther.edu/~macdonal/laga I commend Alan Macdonald for his excellent book! His exposition is clean and spare. He has done a fine job of engineering a gradual transition from standard views of linear algebra to the perspective of geometric algebra. The book is sufficiently conventional to be adopted as a textbook by an adventurous teacher without getting flack from colleagues. Yet it leads to gems of geometric algebra that are likely to delight thoughtful students and surprise even the most experienced instructors. -- David Hestenes, Distinguished Research Professor, Arizona State University
【下载地址】收费6币+回复。

本帖隐藏的内容

Linear and Geometric Algebra.pdf
大小:(3.59 MB)

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本书姐妹篇《向量与几何微积分》在此
https://bbs.pinggu.org/thread-2882322-1-1.html

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2014-1-29 13:18:55
好好学习
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2014-1-29 13:18:58
好书啊,赞
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2014-1-29 13:21:39
Linear and Geometric Algebra
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2014-1-29 13:22:14
thanks for sharing ...
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2014-1-29 13:23:32
nice!
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