A First Course in Linear Algebra
by Robert A. Beezer
Publisher: University of Puget Sound 2010
Number of pages: 1035
A First Course in Linear Algebra is an introductory textbook aimed at college-level sophomores and juniors. Typically such a student will have taken calculus, but this is not a prerequisite. The book begins with systems of linear equations, then covers matrix algebra, before taking up finite-dimensional vector spaces in full generality. The final chapter covers matrix representations of linear transformations, through diagonalization, change of basis and Jordan canonical form. Along the way, determinants and eigenvalues get fair time.
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by José Figueroa-O'Farrill - The University of Edinburgh
These are the lecture notes and tutorial problems for the Linear Algebra module. The text is divided into three parts: (1) real vector spaces and their linear maps; (2) univariate polynomials; (3) introduction to algebraic coding theory.
by Peter Saveliev - Intelligent Perception
This is a textbook for a one-semester course in linear algebra and vector spaces. An emphasis is made on the coordinate free analysis. The course mimics in some ways a modern algebra course. Calculus is a prerequisite for the course.
by Ken Kuttler - Lyryx
The book presents an introduction to the fascinating subject of linear algebra. It is designed as a course in linear algebra for students who have a reasonable understanding of basic algebra. Major topics of linear algebra are presented in detail.
by Edwin H. Connell
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.