I am looking for a book that covers various coordinate systems in 3 dimensions, various methods of representing rotations and other transformations like rotation matrices and quarternions, including algorithms for conversions between various coordinate systems and representations of transformations. Is there a single book that covers these.

This question already has an answer here: Multivariable Calculus Book Reference 4 answers

I need a good rigorous book to learn probability theory. So far, I’ve been suggested Gnedenko’s Theory of Probability; Shiyayev’s Probability; Feller’s An Introduction to Probability Theory and Its Applications. . Which one would you reccomend the most and why? Are there other books worth mentioning?

I am struggling with combinations and permutations. One particular concept that is bugging me is selecting outcomes. I posed a few questions in a forum. \What is the probability that you are dealt a “full house”? (Three cards of one rank and two cards of another rank.)\ I received following answer “”When counting the number […]

I’m currently reading Sheldon Axler’s “Linear Algebra Done Right”. Can anyone recommend any good books on matrix theory at about the same level that might compliment it?

I am interested in self-studying real analysis and I was wondering which textbook I should pick up. I have knowledge of all high school mathematics, I have read How to Prove It by Daniel J. Velleman (I did most of the excercises) and I have completed a computational calculus course which covered everything up to […]

Can anybody suggest me a good book on Metric Spaces. Although I am not new to this subject, but want to polish my knowledge. I want a book which can clearly clear my basics. I want to start from the basics. Kindly suggest me. Thanks a lot.

I’m looking for something like “If it’s not in this book, it’s not known”. I’ve got a copy of Gradshteyn and Ryzhik, which seems pretty good. But I’m hoping there are some better ones out there.

I’m studying functional analysis and I was wondering if there are some exercise books (that is, books with solved problems and exercises) The books I’m searching for should be: full of hard, non-obvious, non-common, and thought-provoking problems; rich of complete, step by step, rigorous, and enlightening solutions;

I’m searching for some references that deal with topics from “elementary geometry” analysing them from a “higher” perspective (for example, abstract algebra, linear algebra, and so on).

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