Elements of Abstract and Linear Algebra
by Edwin H. Connell
Number of pages: 146
This book is a survey of abstract algebra with emphasis on linear algebra. It is intended for students in mathematics, computer science, and the physical sciences. The presentation is compact and tightly organized, but still somewhat informal. The proofs of many of the elementary theorems are omitted.
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by Ruslan Sharipov - Samizdat Press
This is a textbook of multidimensional geometry and linear algebra for the first year students. It covers linear vector spaces and linear mappings, linear operators, dual space, bilinear and quadratic forms, Euclidean spaces, Affine spaces.
by Robert A. Beezer - University of Puget Sound
Introductory textbook for college-level sophomores and juniors. It covers systems of linear equations, matrix algebra, finite-dimensional vector spaces, matrix representations of linear transformations, diagonalization, Jordan canonical form, etc.
by David Cherney, Tom Denton, Andrew Waldron - UC Davis
This textbook is suitable for a sophomore level linear algebra course taught in about twenty-five lectures. It is designed both for engineering and science majors, but has enough abstraction to be useful for potential math majors.
by Mohammed Kaabar
There are five chapters: Systems of Linear Equations, Vector Spaces, Homogeneous Systems, Characteristic Equation of Matrix, and Matrix Dot Product. It has also exercises at the end of each chapter above to let students practice additional problems.