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November 13th, 2016, 08:52 AM  #1 
Newbie Joined: Dec 2014 From: Brooklyn Posts: 10 Thanks: 0  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. 
November 17th, 2016, 05:57 PM  #2 
Senior Member Joined: Sep 2016 From: USA Posts: 558 Thanks: 323 Math Focus: Dynamical systems, analytic function theory, numerics  https://www.amazon.com/LinearAlgebr.../dp/0030105676 it doesn't get better than this. 

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