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Linear Algebra (Paperback)
Loot Price: R1,883
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Linear Algebra (Paperback)
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This book covers the basic theory of matrices and vector spaces.
The book's three main parts cover (I) matrices, vector spaces,
bases, and dimension; (II) inner products, bilinear and
sesquilinear forms over vector spaces; (III) linear
transformations, eigenvalues and eigenvectors, diagonalization, and
Jordan normal form. An introduction to fields and polynomials over
fields is also provided, and examples and applications are provided
throughout. The approach throughout is rigorous, but without being
unnecessarily abstract. In particular, this book would be suitable
reading for a student with no prior exposure to abstract algebra.
Although intended as a 'second course', the book is completely
self-contained and all the material usually given in a 'first
course' in presented fully in Part I, so the book provides a useful
guide to the entire theory of vector spaces as usually studied in
an undergraduate degree. Abstract methods are illustrated with
concrete examples throughout, and more detailed examples highlight
applications of linear algebra to analysis, geometry, differential
equations, relativity and quantum mechanics. As such, the book
provides a valuable introduction to a wide variety of mathematical
methods.
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