Linear algebra may well be the most accessible of all routes into higher mathematics. It requires little more than a foundation in algebra and geometry, yet it supplies powerful tools for solving problems in subjects as diverse as computer science and chemistry, business and biology, engineering and economics, and physics and statistics, to name just a few. Furthermore, linear algebra is the gateway to almost any advanced mathematics course. Calculus, abstract algebra, real analysis, topology, number theory, and many other fields make extensive use of the central concepts of linear vector spaces and linear transformations.
Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and the past president of the Mathematical Association of America. In 2013, he received the Haimo Award, a nationwide teaching prize for college math faculty, and in 2018 he won the Halmos-Ford writing award for the highly-acclaimed speech on which this book is based. His work has been featured in Quanta Magazine, Wired, and the New York Times.