[blaisehorvath]

Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach - This is my all time favourite math book. It teaches Linear algebra in very intuitive manner. Along the pure math side it also gives examples of the introduced concepts from Physics, Machine learning etc... You can buy new one on [author's own publishing company](https://matrixeditions.com/5thUnifiedApproach.html).

I own Spivak's Calculus (which is a great book), but if you are not interested in the pure math side or you just don't want to grind a 700 page tome I recommend Calculus made easy. Contrary to the title and the small size of this book, it's an amazing and intuitive. When I read Calculus Made Easy I also read Infinite powers by Steven Strogratz they complete each other very well.

I have a copy of "The Art of Probability: For Scientists and Engineers" by Hamming it's a really good book.

If you are interested in Bayesian probability, machine learning or information theory I recommend "Information Theory, Inference, and Learning Algorithms" by MacKay it's an amazing book. It's available as in PDF format on the author's website.