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Any recommended crash course on Maths?

17 pointsby febinover 6 years ago
My math is weak. I am finding difficult to understand research papers in the fields of AI, Blockchain, Quantum Computing, etc.<p>I tried khan academy videos, they are good, but there&#x27;s so much. I want to understand the critical aspects that can help me dive and give the ability to figure things out.<p>Any hands-on materials would be great. I am reading &quot;A Programmer&#x27;s Introduction to Mathematics&quot;. But, I need more materials. Thank You!<p>P.S: I am a very impatient person by design.

2 comments

nextosover 6 years ago
Being impatient is not something you are, but something you have become. Arguably, lots of social media exacerbate this issue. I would recommend you try to improve, as impatience will be very detrimental towards doing mathematics.<p>Without further details, it&#x27;s hard to know what your current level is. Most math bootcamps cover algebra and calculus. A great high school level one is:<p>* <i>Basic Mathematics</i> by Lang<p>* <i>Calculus Made Easy</i> by Thompson<p>If that is too simplistic, try a Math 55 like approach:<p>* <i>Linear Algebra Done Right</i> by Axler<p>* <i>Principles of Mathematical Analysis</i> by Rudin<p>You can replace Axler by <i>Finite-Dimensional Vector Spaces</i> by Halmos. But it&#x27;s harder. Sadly the latest edition of Axler has distracting pictures and boxes that have done away with some of it&#x27;s TeX elegance.<p>You can also replace both books by <i>Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach</i>, by Hubbard &amp; Hubbard.<p>An alternative route is to do a bootcamp where logic and abstract algebra is the area of focus. I&#x27;ve never seen such a course offered to beginners, but I think it&#x27;d be great if you are later focusing on things like formal methods.
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impendiaover 6 years ago
Math professor here.<p>A book which I have found excellent is Epp&#x27;s Discrete Mathematics with Applications. The book is very patient and explains things really well -- stuff like formal logic, induction and recursion, proofs, probability and combinatorics. Lots of good exercises too.<p>I used this as a textbook in a course required of all of our sophomore CS students. It lays an excellent foundation for more sophisticated material that follows.<p>The latest edition is absurdly expensive (as is the case with most textbooks), but used copies of previous editions are likely to be ubiquitous on Amazon and elsewhere.
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