Vector spaces are one of the fundamental objects you study in abstract algebra. They are a significant generalization of the 2- and 3-dimensional vectors you study in science. In this lesson we talk about the definition of a vector space and give a few surprising examples.
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We recommend the following textbooks:
Dummit & Foote, Abstract Algebra 3rd Edition
http://amzn.to/2oOBd5S
Milne, Algebra Course Notes (available free online)
http://www.jmilne.org/math/CourseNote...
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Teaching Assistant: Liliana de Castro
Written & Directed by Michael Harrison
Produced by Kimberly Hatch Harrison
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Watch video What is a Vector Space? (Abstract Algebra) online without registration, duration hours minute second in high quality. This video was added by user Socratica 20 October 2016, don't forget to share it with your friends and acquaintances, it has been viewed on our site 741,312 once and liked it 19 thousand people.