
Sequences, combinations, limits
by S. I. Gelʹfand, M. L. Gerver, A. A. Kirillov, N. N. Konstantinov · first published 1969
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2009–2020first – last mentioned
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on “A Textbook Example of What’s Wrong with Education” ↗…for distance learning in russia. the series covers algebra, functions, trigonometry, graphs, geometry, and more. https://www.amazon.com/Functions-Graphs-Dover-Books-Mathemat... https://www.amazon.com/Sequences-Combinations-Limits-Dover-M... https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029... https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/081763677... https://www.amazon.com/Trigonometry-I-M-Gelfand/dp/081763914...…
on “Mathematics for the Adventurous Self-Learner” ↗…retention and my ability to build on concepts already learned. It also doesn't have to be Olympiad style, there are also Math Circles and the general Problems in {Area} book, like one of my favorites Sequences, Combinations, Limits.
on “How to Learn Advanced Mathematics Without Heading to University – Part 3” ↗…non-mathematician background, e.g. programmer, who sincerely wants to get a peek behind the curtain and know what calculus really IS without diluting anything in an unacceptable way I'd show them I. Gelfand et al "Sequences, Combinations, Limits". Once you have the idea of a limit of a sequence down it isn't hard to learn the limit of a function (epsilon, delta) and move on from there. A good second step is Apostol's calculus vol. 1 just the…
on “Calculus Explained with GIFs and Pics (2014)” ↗