The Dark Art of Linear Algebra: An Intuitive Geometric Approach

by Seth Braver

Most introductory linear algebra textbooks follow one of two paths into the abstract and arcane (beginning with the vector space axioms), or computational and colorless (beginning with systems of linear equations). The Dark Art of Linear Algebra takes a little-known third path that winds through a fascinating geometric landscape. Guided along it, readers encounter linear algebra's central objects - linear maps and the matrices that represent them - before they descend into the valley of linear systems. By emphasizing geometry over algorithms and intuition building over axiomatics, The Dark Art helps beginners grasp linear algebra’s great power and rare beauty. And it does this Students can read this book from cover to cover in a single course. All the usual introductory topics are here, presented with unusual clarity and style by Seth Braver, winner of the Mathematical Association of America's Beckenbach Book Prize for his first book, Lobachevski Illuminated .

Genres: Mathematics, Textbooks

191 pages, Paperback

Published April 29, 2023

Reviews

[Lucille Nguyen · Rating 5 out of 5]

Very good geometric explanation of key concepts of linear algebra. Wish I had read this before spending much time in the field studying. Good introduction to some abstract algebraic topics too, surprising range for a rather introductory text.