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Undergraduate Texts in Mathematics
Linear Algebra
In the second edition of this popular and successful text the number of exercises has been drastically increased (to a minimum of 25 per chapter); also a new chapter on the Jordan normal form has been added. These changes do not affect the character of the book as a compact but mathematically clean introduction to linear algebra with particular emphasis on topics that are used in the theory of differential equations.
- GenresMathematics
Kindle Edition
First published January 1, 1978
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May 13, 2014
This is a great introduction to linear algebra. I was reading it to review doing proofs...plus it's my habit to annually review linear algebra.
The exercises range from great to "Why is this here?" and sometimes "That's a sentence, not an exercise". They are not the "calculation" family of exercises, where one does a large number of matrix multiplications, determinants, finding the inverses, etc. This is a first step towards proof-based thinking.
But the proofs really are quite well done. The best exercise for the reader is to pause after a given proof, and ask one's self "IS there another way to do this? What if we remove some axioms? What if we work with a Rig instead of a field?" etc.
If the exercises were updated and/or revised, this would be a 5 star book. But since the exercises are a seeming after thought, I can't bring myself about to give it such a ranking...
The exercises range from great to "Why is this here?" and sometimes "That's a sentence, not an exercise". They are not the "calculation" family of exercises, where one does a large number of matrix multiplications, determinants, finding the inverses, etc. This is a first step towards proof-based thinking.
But the proofs really are quite well done. The best exercise for the reader is to pause after a given proof, and ask one's self "IS there another way to do this? What if we remove some axioms? What if we work with a Rig instead of a field?" etc.
If the exercises were updated and/or revised, this would be a 5 star book. But since the exercises are a seeming after thought, I can't bring myself about to give it such a ranking...
Displaying 1 of 1 review