Linear Algebra A Geometric Approach By S Kumaresan BEST
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Sobczyk introduces linear algebra in two stages: in the first, the foundations of the subject are laid down in terms of the formalism of linear operators and their domain and range, and in the second, a series of applications are presented. Most of the fundamental properties of linear systems of equations are first established in geometric terms, but the geometric interpretations are often developed only more fully in later chapters.
This book is different from other books of this type that have appeared in the past. The authors, Fink, and Silverman, have found a way of making the whole subject of linear algebra understandable. They have written a lively book in which they have tried to explain the theory of linear algebra in a more geometrical way. They have succeeded in this goal.
I have not yet come across a better Linear Algebra Text that can be recommended. I would like to see more of this type of a book.I would definitely recommend this book to all lovers of linear algebra.
This book is a unique and valuable resource for students and teachers of mathematics, engineering, physics, chemistry, computer science, and economics who wish to develop a broad knowledge of linear algebra.
The book is based on a course conducted in the second year of the Mathematics degree at the University of Adelaide. It covers the following topics: the basic definitions and general results concerning vectors and matrices; basic properties of the determinant; elementary properties of matrices; matrices and their applications; linear transformations; eigenvectors and eigenvalues; elementary properties of vectors and matrices; linear equations; the vector space of all polynomials of a given degree; determining whether a particular polynomial has a root; reducing a system of linear equations; the method of undetermined coefficients; an eigenvalue and its eigenspace; the method of undetermined coefficients applied to linear systems; applications of determinants to linear systems; general solutions of systems of linear equations; elementary theory of matrices.
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