Download Linear Algebra, Theory And Applications

Download Linear Algebra

 

Download Linear Algebra – This is a book on linear algebra and matrix theory. While it is self contained, it will work best for those who have already had some exposure to linear algebra. It is also assumed that the reader has had calculus. Some optional topics require more analysis than this, however.

I think that the subject of linear algebra is likely the most significant topic discussed in undergraduate mathematics courses.

Part of the reason for this is its usefulness in unifying so many different topics. Linear algebra is essential in analysis, applied math, and even in theoretical mathematics. This is the point of view of this book, more than a presentation of linear algebra for its own sake. This is why there are numerous applications, some fairly unusual.

 

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Contents

Preliminaries
11
9
39
2MatricesAndLinearTransformations
41
3Determinants
77
Row Operations
105
Some Factorizations
123
Linear Programming
135
3
137
Markov Chains And Migration Processes
275
Inner Product Spaces
287
Norms For Finite Dimensional Vector Spaces
337
Numerical Methods For Finding Eigenvalues
371
APositiveMatrices
403
BFunctionsOfMatrices
411
Applications To Differential Equations
417
Compactness And Completeness
439
Spectral Theory
157
9LinearTransformations
225
10LinearTransformationsCanonicalForms
245
G Answers To Selected Exercises
487
Copyright

 


 


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