Geometry
by Israel M. Gel'fand, Tatiana Alekseyevskaya (Gelfand) · first published 2020
75% recommend25% neutral
Why HN recommends it
Gentle, clearly written high school geometry text suited to self-learners and adults returning to math. It pairs well with Gelfand's algebra and trigonometry books and offers an accessible, reasonably priced approach.
Summarised by Claude from recommending comments
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…gentler for people seeing this material for the first time. Although I do highly recommend his Calculus book once you have the other book down. Gelfand also has some nice texts on Algebra, Trig, and Geometry that are reasonably cheap, especially if used. I'm older and went back to school later in life to study math, and these are the books I learned that material (for the first time -- I flunked math thru…
on “Mathematics for the Adventurous Self-Learner” ↗…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 I know they exist. I suspect his "Combinatorics" book is more advanced than he intended to produce.)…
on “Ask HN: What is your favorite introductory-level textbook?” ↗I've been trying to learn math for years but truly have no idea where to begin. I started with Kiselev's Geometry and Gelfand's Algebra. I used to hate Math. When I read Lockharts Lament some years ago and it brought me to tears. Ever since then I've had a big appreciation for it but no real time to get into it.…
on “My Mathematics PhD research workflow: LaTeX notes and instant pdf referencing” ↗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 * Smullyan's Introduction…
on “Ask HN: How to learn math from zero for adults?” ↗…Will enjoy it and love it. Trying yo answer your question. Learn some Arithmetic, just enough. Crunch some elementary algebra (in The fashion of Visualizing Algebra provided by Udacity). Read The book Geometry by Tatiana Alekseyevskaya, learn some Discrete Math (I recommend You the book on the topic by Thomas VanDrunnen), read the other four books in the gelfand series. Learn some logic. Read Introduction to…
on “Ask HN: How should I structure my mathematics self-teaching?” ↗Start with: * Algebra, Gelfand * Geometry, Kiselev
on “How to Study Mathematics (2017)” ↗…gelfand, a top russian mathematician, has books aimed at high school students that served as education materials 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...…
on “Mathematics for the Adventurous Self-Learner” ↗You can find some on Amazon. Gelfand's Algebra: https://www.amazon.com/Algebra-Israel-M-Gelfand/dp/081763677... Gelfand's Geometry: https://www.amazon.com/Geometry-Israel-M-Gelfand/dp/10716029... Gelfand's Trigonometry: https://www.amazon.com/Trigonometry-Gelfand-Mathematical-Sem...
on “American parents are sending their kids to 'Russian math' (2017)” ↗…the topic to the point of being able to appreciate our world better. What kind of path did people like Oliver Heaviside followed? I would like for your recommendations to be in the vein of the book "Geometry" by Israel Gelfand and Tatiana Alekseyevskaya (Gelfand). That is, found the ground up, I want to "see" the forces in action. And yes, I am still to revisit some topics on Calculus. But I am pretty sure…
on “Ask HN: Best learning resource to get started in Electricity and Magnetism” ↗…field. Yeah, your main recommendation may be to commit to finish the courses I start, I know. These days I am doing just that. But I am revisiting some elementary Math topics instead like Algebra and Geometry (Which I recently finished a book in the Gelfand series). What's the hottest training material right now on AI? I think I will need to know some advanced Calculus prior to that, right? I just saw some…
on “Ask HN: What would you recommend me to update myself on AI?” ↗