Measurement

* The Art of Probability by Hamming. An opinionated, slightly quirky text on probability. Unlike the text used in my university course its explanations were clear and rigourous without being pedantic. The exercises were both interesting and enlightening. The only book in this list that taught skills I've actually used in the real world. * Calculus by Spivak. This was used in my intro calculus course in university. It's very much a bottom-up, first-principles construction of calculus. Very proof-based, so you have to be into that. Tons of exercises, including some that sneakily introduce pretty advanced concepts not explicitly covered in the main text. This book, along with the course, rearranged by brain. Not sure how useful it would be for self-study though. * Measurement by Lockhart. I haven't read the whole thing, but have enjoyed working through some of the exercises. A good book for really grokking geometric proofs and understanding "mathematical beauty", rather than just cranking through algebraic proofs step by step.…

Lockhart wrote another book, called measurement, with a different scope. It covers Geometry and Calculus in his whimsical style. It can give you many aha moments.

Measurement by Paul Lockhart. Written by the author of the well known Mathematician's Lament essay [1], which deplores the state of school maths education, in response to questions like "Well, what are you going to do about it?". [1] https://www.maa.org/external_archive/devlin/LockhartsLament.... (https://www.maa.org/external_archive/devlin/LockhartsLament.pdf)