Looks like you need to know a tiny little bit about manifolds, measure theory/probability theory, topology and more importantly have the requisite "math maturit

Looks like you need to know a tiny little bit about manifolds, measure theory/probability theory, topology and more importantly have the requisite "math maturity". For very easy intro to manifolds and measure you could probably take a look into [0] A Visual Introduction to Differential Forms and Calculus on Manifolds by Fortney and [1] The Lebesgue Integral for Undergraduates by Johnston. [0] https://www.amazon.com/Visual-Introduction-Differential-Calculus-Manifolds/dp/3319969919/ref=sr_1_1?s=books&ie=UTF8&qid=1548353414&sr=1-1&keywords=fortney+manifolds https://www.amazon.com/Visual-Introduction-Differential-Calc... [1] https://www.amazon.com/Lebesgue-Integral-Undergraduates-MAA-Textbooks/dp/1939512077/ref=sr_1_6?s=books&ie=UTF8&qid=1548353478&sr=1-6&keywords=lebesgue+integration https://www.amazon.com/Lebesgue-Integral-Undergraduates-MAA-...