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Linear Algebra

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Title: Linear Algebra
by Georgi E. Shilov
ISBN: 0-486-63518-X
Publisher: Dover Pubns
Pub. Date: 01 June, 1977
Format: Paperback
Volumes: 1
List Price(USD): $15.95
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Average Customer Rating: 4.29 (7 reviews)

Customer Reviews

Rating: 5
Summary: Excellent book
Comment: This is very complete and clear book . Excellent for applications. Treats topics usually omited in most linear algebra books . Could be used as reference .

Rating: 4
Summary: good, but not always a fun to read ...
Comment: I only read the first 60 pages and then I stopped reading the book. Reason : while the book contains some interesting topics and certainly goes very deep and treats linear algebra in an abstract and rigorous framework, I had the impression that the proofs were not always the shortest and most elegant ones. Also, linear algebra at this level is not an easy topic, so Dover books, well known for their high quality on the contents, are not always the ideal books to learn from since the editor tries to put as many text on one page as possible in order to keep the price low. This makes it hard to read and also to make annotations.
For learning the basic principles of abstract algebra, I prefer the book : Linear Algebra: An Introduction to Abstract Mathematics by Robert J. Valenza. Valenza 's book succeeds in explaining the same basic ideas in a rigorous way but by choosing much more elegant proofs. This results in less pages to read while having a better understanding of abstract algebra.

Rating: 5
Summary: Excellent Presentation of Linear Algebra
Comment: Like most of the Dover books, this is a reprint of a classic text. This means that there is not a lot of hand-holding, only solid, clearly explained mathematics for those who have the motivation and want to put in the effort - not like our friend rururu who learns his math from Schaum's outlines. Shilov is one of the great mathematicians of the 20th century and so his proofs are well done and are very helpful for anyone wanting to have a real understanding of linear algebra and the follow on courses of ordinary and partial differential equations.

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