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This looks good. And I have already covered these things. What are some other resources for learning more Math that are very approachable when studying alone?

tarkin2 3y ago
Khan academy will teach you all of pre-k, high-school, pre-calc, calculus and infinite series pretty well. mathsisfun.com is a great resource if that's ever lacking. High school physics on khan is good to give you a practical application of the concepts if they seem too abstract. I found Strang's youtube lectures the best for linear algebra along with 'vector maths for 3d graphic'. Khan's linear algebra course seems like more a collection of practical things you can do with linear algebra rather than a coherent cource but it's still a great resource. Khan academy's multi-variable calculus is good enough to give you a reasonable grasp, but I'd call it a good complement rather than sole resource. I've tended to go through the cycle of watching the lectures, then doing the exercises, going forward, going back after a few months to ensure I understand the whys and not just the hows, and then writing my own notes. Machine Learning et al is a great practical application of all this maths.
- __rito__ 3y ago
  I have a Bachelor in Physics, and a Master’s in CS. I am not really looking for the basics. I am looking for advanced material that can be handled without the help of a teacher. The book should be written in that manner. As I have a good background, I can read AI papers and get the math directly or study some and get that. But whenever I start to study something, more often than not, the book is written in a dry manner and cannot hold my interests.
WillAdams 3y ago
My context is CNC programming, but I've found the Make: Geometry, Make: Trigonometry, and Make: Calculus books excellent.
- __rito__ 3y ago
  Thanks.
rramadass 3y ago
"Approachability" might vary somewhat but you might find the following useful; * For an introduction (and a reference) to various areas of Modern Mathematics that one didn't even know existed, The Princeton Companion to Mathematics and The Princeton Companion to Applied Mathematics are a must. * All the Math You Missed: (But Need to Know for Graduate School) by Thomas Garrity - A survey and a good adjunct to a textbook. * Mathematics: Its Content, Methods and Meaning by Kolmogorov et al. - Classic text from the great Russian Mathematicians. * Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard Hamming - Unique text from the great Richard Hamming (also checkout his other books). There is plenty more of course, specifically; checkout "Dover Publications" texts, many of which are classics and affordable.
- __rito__ 3y ago
  Yeah, thanks for the recommendation. I already know the basics, and I want to learn more. I cam handle hard, but the textbooks need to be written in a manner that doesn't require the help of a teacher or a classroom.
  - rramadass 3y ago
    None of the above are "basics", they range from undergraduate to research level topics, in particular; the two Princeton Companions are a must have. https://press.princeton.edu/books/hardcover/9780691118802/the-princeton-companion-to-mathematics https://press.princeton.edu/books/hardcover/9780691118802/th... https://press.princeton.edu/books/hardcover/9780691150390/the-princeton-companion-to-applied-mathematics https://press.princeton.edu/books/hardcover/9780691150390/th... PS: In an earlier HN thread, somebody had highly recommended the 4-vol Foundations of Applied Mathematics developed for Brigham Young University’s Applied and Computational Mathematics degree program for beginning graduate and advanced undergraduate students. I have not browsed/read them yet but they are on my "future acquisition and study" list. They seem great and well worth looking into - https://foundations-of-applied-mathematics.github.io/ https://foundations-of-applied-mathematics.github.io/
    - __rito__ 3y ago

tarkin2 3y ago

Khan academy will teach you all of pre-k, high-school, pre-calc, calculus and infinite series pretty well. mathsisfun.com is a great resource if that's ever lacking. High school physics on khan is good to give you a practical application of the concepts if they seem too abstract. I found Strang's youtube lectures the best for linear algebra along with 'vector maths for 3d graphic'. Khan's linear algebra course seems like more a collection of practical things you can do with linear algebra rather than a coherent cource but it's still a great resource. Khan academy's multi-variable calculus is good enough to give you a reasonable grasp, but I'd call it a good complement rather than sole resource. I've tended to go through the cycle of watching the lectures, then doing the exercises, going forward, going back after a few months to ensure I understand the whys and not just the hows, and then writing my own notes. Machine Learning et al is a great practical application of all this maths.

__rito__ 3y ago
I have a Bachelor in Physics, and a Master’s in CS. I am not really looking for the basics. I am looking for advanced material that can be handled without the help of a teacher. The book should be written in that manner. As I have a good background, I can read AI papers and get the math directly or study some and get that. But whenever I start to study something, more often than not, the book is written in a dry manner and cannot hold my interests.

WillAdams 3y ago

My context is CNC programming, but I've found the Make: Geometry, Make: Trigonometry, and Make: Calculus books excellent.

__rito__ 3y ago
Thanks.

rramadass 3y ago

"Approachability" might vary somewhat but you might find the following useful; * For an introduction (and a reference) to various areas of Modern Mathematics that one didn't even know existed, The Princeton Companion to Mathematics and The Princeton Companion to Applied Mathematics are a must. * All the Math You Missed: (But Need to Know for Graduate School) by Thomas Garrity - A survey and a good adjunct to a textbook. * Mathematics: Its Content, Methods and Meaning by Kolmogorov et al. - Classic text from the great Russian Mathematicians. * Methods of Mathematics Applied to Calculus, Probability, and Statistics by Richard Hamming - Unique text from the great Richard Hamming (also checkout his other books). There is plenty more of course, specifically; checkout "Dover Publications" texts, many of which are classics and affordable.

__rito__ 3y ago
Yeah, thanks for the recommendation. I already know the basics, and I want to learn more. I cam handle hard, but the textbooks need to be written in a manner that doesn't require the help of a teacher or a classroom.
- rramadass 3y ago
  None of the above are "basics", they range from undergraduate to research level topics, in particular; the two Princeton Companions are a must have. https://press.princeton.edu/books/hardcover/9780691118802/the-princeton-companion-to-mathematics https://press.princeton.edu/books/hardcover/9780691118802/th... https://press.princeton.edu/books/hardcover/9780691150390/the-princeton-companion-to-applied-mathematics https://press.princeton.edu/books/hardcover/9780691150390/th... PS: In an earlier HN thread, somebody had highly recommended the 4-vol Foundations of Applied Mathematics developed for Brigham Young University’s Applied and Computational Mathematics degree program for beginning graduate and advanced undergraduate students. I have not browsed/read them yet but they are on my "future acquisition and study" list. They seem great and well worth looking into - https://foundations-of-applied-mathematics.github.io/ https://foundations-of-applied-mathematics.github.io/
  - __rito__ 3y ago