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November 13th, 2016, 08:52 AM   #1
Joined: Dec 2014
From: Brooklyn

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Good reading on Applications of Linear Algebra?

ve been studying graduate level Linear Algebra from Steven Roman's Advanced Linear Algebra (Springer, GTM). It is a terrific book, but many of the concepts are extremely abstract so that I find it difficult to retain what I've learned. Can anyone point me to some books/reading on the applications of abstract Linear Algebra to other fields of Math, or physics? Note that I am not referring to the low level matrix manipulation approach taught in undergrad, but the more heavy ideas. For a feel of what I'm dealing with, here is the table of contents:

1.Vector Spaces
2. Linear Transformations
3.The Isomorphism Theorems
4.Modules I:Basic Properties
5. Modules II: Free and Noetherian Modules
6. Modules over a Principle ideal Domain
7. The Structure of a Linear Operator
8. Eigenvalues and Eigenvectors
9. Real and Complex innerprodict spaces
10. Structure Theory for Normal Operators.
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November 17th, 2016, 05:57 PM   #2
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