About Vectors

About Vectors begins by setting forth the goal of defining vectors. The author then shows that there are problems with any definition of vectors. For example when are two vectors equal? When they have the same magnitude and direction, but what if one of those vectors is a free vector and the other a bound vector? After raising questions about what constitutes a vector the author goes through vector algebra. He is very thorough. The book cumulates in an introduction to quaternions and tensors. Throughout the book the author raises questions similar to the one above. I found this book very useful for learning both the algebra of vectors and also the ideas behind them. I highly recommend this book for anyone who needs to learn about vector algebra.