- Paperback: 387 pages
- Publisher: Dover Publications Inc.; New edition edition (1 June 1977)
- Language: English
- ISBN-10: 048663518X
- ISBN-13: 978-0486635187
- Product Dimensions: 14.3 x 2 x 21.3 cm
- Average Customer Review: Be the first to review this item
- Amazon Bestsellers Rank: #1,20,621 in Books (See Top 100 in Books)
Linear Algebra (Dover Books on Mathematics) Paperback – 1 Jun 1977
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Text: English, Russian (translation)
About the Author
Georgi Shilov was a Russian mathematician. He is renowned for his contributions to the theory of normed rings and generalised functions. Shilov studied at Moscow State University and soon after graduation he joined the army and served in the second World War. After teaching at the Kiev University for sometime, he joined the Faculty of Moscow State University as a professor.
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Most helpful customer reviews on Amazon.com
The missing features: margin icons, colored graphs or Matlab source code. Also missing are special topics like SVD, Also the font is a little small, especially sub and superscripts, but aside from that, it holds up quite well vs modern texts like Anton, Axler or Strang.
Shilov covers a wide variety of topics, both basic and advanced, but the language is abbreviated, and the notation cumbersome, with almost 400 pages of mice type equations. He'll make a statement like, "of course you'll need to convert this to determinant form" and instead of explaining it, give another equally dense set of equations. When you use equations and proofs to "teach" other equations, it assumes a LOT of previous knowledge-- NOT for beginners!
If you already have a good grounding in LA, this is a gem well worth the low price, as it covers many unique proofs and "older" roots (1971). This doesn't make it outdated, except that of course you won't see topics like quantum computing covered, but will get many angles not seen in more up to date texts. Add it to your library for advanced work, but don't get it to learn LA from square one-- it packs too much into each page with too little explanatory diagrams, applications, examples or descriptions. It basically assumes you're very well grounded in pure math, formula notation, and proofs.
BTW, if you're a professor or other pro in LA, the index alone is worth the price-- works very well as a reference. Wish there was something similar for ODE's!
It may be helpful if you have experience with using matrices in Robotics or Statistics. I say this because to many people some concepts are hard to appreciate without seeing its implications, and understanding implications help you read these kinds of things much more easily.
There were some typos that may be critical parts of equations, but if you read the text it should be clear what the book is saying.