▲ | milvld 6 days ago | |||||||||||||
Any pointers on useful textbooks in this space? I seem to have difficulties finding one that is at the right level (not too easy, not too hard) or that provides a way to gauge your level and start accordingly at a later chapter or whatever. | ||||||||||||||
▲ | mtts 6 days ago | parent | next [-] | |||||||||||||
Depends on what you need, I suppose. This resource is said to be pretty good: https://www.susanrigetti.com/math I decided start with Calculus I on MathAcademy because that was the last thing I did in High School. MathAcademy disagreed and told me to do PreCalculus and even bits of Algebra II first, but I knew better (MathAcademy was right and in hindsight I should’ve just started the Foundation courses to build up my pretty weak algebra skills again). For Calculus I simply use the textbook that’s recommended at the link above. As far as I can tell, it’s good. I don’t do the problems, though - for that I use MathAcademy. | ||||||||||||||
| ||||||||||||||
▲ | chrisweekly 6 days ago | parent | prev | next [-] | |||||||||||||
Not a textbook, but https://betterexplained.com is an awesome resource for gaining intuition, its author's approach is very unlike others I've encountered. | ||||||||||||||
| ||||||||||||||
▲ | agentcoops 6 days ago | parent | prev | next [-] | |||||||||||||
I'm biased, but very fond of the open-access introductory textbooks used where I studied. The department was very much pure maths, but the intro classes were accessible to general liberal arts students. I think the texts are relatively unique in that they're very proof oriented, yet with a pedagogical style that doesn't assume the reader is a future graduate student. For calculus, three options to see if you like a particular author's style of explanation: http://people.reed.edu/~mayer/math111.html/math111.pdf - the most pedagogical http://people.reed.edu/~mayer/math111.html/math111.pdf - the most beautiful https://people.reed.edu/~jerry/111/calc.pdf - the most technical For introduction to mathematical analysis and proof: http://people.reed.edu/~mayer/math112.html/math112.pdf For multivariable calculus: https://www.stat.rice.edu/~dobelman/notes_papers/math/calcul... [1] For linear algebra, we used the relatively standard Friedberg Insel and Spence [2], but I hear good things about https://hefferon.net/linearalgebra/. [1] Link is off university domain, since apparently it was at some point turned into a bit more hardcore textbook oriented towards those going onto graduate studies in mathematics. If curious: https://www.amazon.com/Calculus-Analysis-Euclidean-Undergrad... [2] https://www.amazon.com/Linear-Algebra-4th-Stephen-Friedberg/... | ||||||||||||||
| ||||||||||||||
▲ | bsoles 6 days ago | parent | prev | next [-] | |||||||||||||
For proofs and introductory real analysis, I highly recommend Prof. Jay Cummings' books at the awesome price of about $20 on Amazon for freaking 400 page books. If anything, just buy it to support the guy. | ||||||||||||||
▲ | MarcelOlsz 6 days ago | parent | prev [-] | |||||||||||||
I've been learning math from the ground up and I've gone to hell and back in terms of resources. Art of Problem Solving is the best. I started with Prealgebra and it just flows. The best textbooks I have found. |