Calculus

What Hacker News says

1. owl_visionMar 2025
   Yes, one can learn from online available sources. I had Calculus I in school and then I found Prof. Gilbert Strang, MIT OpenCourseWare. [0]

   openstax.org has a lot of good books. [1]

   [0] https://www.youtube.com/playlist?list=PL49CF3715CB9EF31D [1] https://openstax.org/subjects/math

   edit: i am an autodidact who loves to learn.

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2. __rito__Jan 2025
   Vector Calculus: Schaum's Outline (Spiegel)

   DE: Tenenbaum and Pollard (ODE) or https://tutorial.math.lamar.edu/classes/de/de.aspx

   Linear Algebra: Gilbert Strang's book. There’s also an MIT-OCW course to go with that.

   You could also get something like Riley, Hobson, Bence and read the relevant chapters.

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3. rg111May 2022
   - Linear Algebra: Gilbert Strang's book + MIT OCW video series. Alternatively/additionally Sheldon Axler's Linear Algebra Done Right. Must watch 3blue1brown series on LinAlg.

   - Analysis: Spivak's Calculus (yes). Understanding Analysis is also supposed to be good.

   - Probability: Introduction to Probability by Dimitri Bertsekas and John Tsitsiklis.

   - Graphs: Plenty nice books. Can also choose GT specific chapters from Discrete Math books.

   Edit: If you haven't have formal Math training, you need to learn how to write proofs. For Proofs, I wholeheartedly recommend Jay Cummings's book "Proof: A Long Form Text Book".

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4. rg111May 2022
   - Linear Algebra: Gilbert Strang videos + book

   - Calculus and basics of Analysis: Spivak

   - Group Theory: Visual Group Theory

   - Complex Analysis: Visual Complex Analysis

   - Writing proofs: Proofs: A Long Form Textbook by Jay Cummings

   - Abstract Algebra: Dummit-Foote book. First few chapters if you like.

   ___

   Pop-Sci:

   1. The Joy of X by Steven Strogatz

   2. Fermat's Enigma by Simon Singh

   (All this books except AA are very highly recommended by me)

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5. rg111Mar 2022
   computer science is an extremely broad area. Narrow it down, maybe?

   1. Introduction to Computational Thinking at MIT was a great one.

   2. Robert Ghrist has the best set of SV Calculus courses on Coursera.

   3. Gilbert Strang's LA courses are the best.

   4. For Algorithms course, I would recommend Sedgewick and Wayne's course on Coursera.

   5. For PL course, go with the WashU course on Coursera.

   6. For Machine Learning, you should start with Andrew Ng's Machine Learning.

   7. Cryptography I, II by Dan Boneh is a great one.

   8. Introduction to Programming with Python at MIT on edX is a good course. And so is CS50 by David J. Malan.

   9. The nand2tetris course on Coursera.

   These are some that I can vouch for. You did not mention your level or what topic you want to learn.

   The best way is to do a google search for moocs, and try several of them out, and pick one with the teacher whose teaching style you like the most.

   In MOOCs that are not mandated, the personality of the teacher matters a lot. In my opinion- it is the most important factor.

   You should also look up courses where all materials are publicly available- tests, assignments, homework problems, etc. If some parts are not, you can always email a prof, and they will almost never turn you down.

   Follow discussions on Reddit. Engage in discussions, too.

   You should look up https://teachyourselfcs.com and check out the recorded courses there. Do the ones that you would like.

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6. guerrillaOct 2021
   If this is where you're at, make sure you check out the famous Gilbert Strang's "Highlights of Calculus" series from MIT's OCW. He really boiled it down in those. [1]

   1. https://www.youtube.com/playlist?list=PLFW_V3qDH5jRyfpD9uiq6...

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