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 Benjamin McKay - University College Cork
These notes are drawn from lectures given for a first year introduction to linear algebra. The prerequisites for this course are arithmetic and elementary algebra, and some comfort and facility with proofs, particularly using mathematical induction.
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 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 Stephen Boyd, Lieven Vandenberghe - Cambridge University Press
This groundbreaking textbook covers the aspects of linear algebra - vectors, matrices, and least squares - that are needed for engineering applications, data science, machine learning, signal processing, tomography, navigation, control, etc.