Hello!<p>I’m looking for recommendations for a good resource on financial mathematics, maybe from first principles. Ideally, I’d like to understand more complex topics such as Monte Carlo simulations, expected value, Black-Shoales, etc.<p>My goal is not to be a quant but to be able to speak intelligently about the field. (I don’t play baseball but I know what an ERA is, kind of thing).<p>Any help is appreciated.<p>Merry Christmas!
Quantstart has a good list of books on the topic: <a href="https://quantstart.com/articles/Quantitative-Finance-Reading-List/" rel="nofollow">https://quantstart.com/articles/Quantitative-Finance-Reading...</a>
Similarly, Quantocray maintain a list of recommended books: <a href="https://quantocracy.com/books/financial-math/" rel="nofollow">https://quantocracy.com/books/financial-math/</a>
The book I used in college was "Mathematics for Finance: An Introduction to Financial Engineering" by Marek Capinski and Tomasz Zastawniak.<p>You can easily find (legal) PDFs of it online.<p>I should say that a lot of people in my class really didn't like the book. Personally I thought it was fine.