Functions and graphs
by Israel M. Gel'fand, E. G. Glagoleva, E. E. Shnol · first published 1969
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…refresher course in the absolute basics. The above can be supplemented with the following books to develop intuition; 1) Who is Fourier - https://www.amazon.com/Who-Fourier-Mathematical-Adventure-2n... 2) Functions and Graphs - https://www.amazon.com/Functions-Graphs-Dover-Books-Mathemat... After this is when you enter undergraduate studies and you have to fight the dragon of "Modern Maths" which is more abstract and conceptual.…
on “Ask HN: Best way to relearn basic math?” ↗…books that you mention seem a bit too hard for a teen, so you have to be careful not to demotivate them by expecting too much of them; instead i suggest a simpler approach before tackling the big ones; * Functions and Graphs by Gelfand et al. - A small but great book to develop intuition. * Who is Fourier? A Mathematical Adventure - A great "manga type" book to build important concepts from first principles * Concepts of…
on “Ask HN: Recommend a maths book for a teenager?” ↗I love introductory textbooks. Some of my favorites: "Starting Forth" - Leo Brodie "Computer Science, Logo-Style" series - Brian Harvey "Algebra", "Functions and Graphs", "Methods of Coordinates", "Trigonometry" - I.M. Gelfand (does anyone know if he completed his Geometry textbook? I've never seen it. I've also never seen his "Calculus" or "Combinatorics" books, although…
on “Ask HN: What is your favorite introductory-level textbook?” ↗It is not that tough if you approach it in the right manner. Here is my "guaranteed understanding" 5-step recipe for Calculus :-) a) Learn co-ordinate systems Geometry. b) Learn Functions and Graphs. c) Learn Derivatives. d) Learn Integrals. e) Learn Differential Equations. Focus on understanding single-variable only and ignore everything else in the beginning. You will find the following resources…
on ““When are we going to use this in our everyday life?” (2017)” ↗…a chore to sift the wheat from the chaff. Dover publications has some good ones starting with Mathematics: Its Contents, Methods and Meaning by Kolmogorov et.al. There is also the I.M.Gelfand series; Functions and Graphs, The Method of Coordinates, Algebra, Trigonometry etc.
on “Soviet children’s books became collectors’ items in India” ↗…maturity and wishing to learn from first principles. That said, here are my recommendations for them (pdfs of almost all are available online and they can also be purchased cheaply as used books); * 1) Functions and Graphs and 2) The Method of Coordinates by I.M.Gelfand et. al. - These give you the basics on functions and how to visualize them which is crucial for understanding. * Introductory Logic and Sets for Computer…
on “Ask HN: Looking for a book on algorithms and data structures” ↗I've been in a similar boat. Khan Academy has been helpful, as have some other resources: * Gelfand (et al.)'s HS math book series: System of Coordinates, Functions And Graphs, Algebra, Geometry, Trigonometry * The problem collections Challenging Problems in Geometry and Challenging Problems in Algebra, available from Dover * The math and logic courses on Brilliant.org *…
on “Ask HN: How to learn math from zero for adults?” ↗…student should read the following preparatory to "Higher Maths"; * Precalculus Mathematics in a Nutshell: Geometry, Algebra, Trigonometry by George Simmons - Not a word wasted in less than 150 pages. * Functions and Graphs by I.M.Gelfand et.al. - A must read (again, less than 150 pages) to build graphical intuition.
on “Ask HN: Math books you recommend just for the way they are written?” ↗…a guitar player, but had to find a new ambition after an injury left me unable to play. 1. The high school mathematics series by Israel Gelfand. Algebra, Trigonometry, The Method of Coordinates, and Functions and Graphs. I didn't have much mathematics background in high school, but working through these really solidified my grasp on the basics. 2. George Polya. How to Solve it. A short book giving excellent high level…
on “Ask HN: Math books that made you significantly better at math?” ↗