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    Cover of Calculus Made Easy

    Calculus Made Easy

    Silvanus Phillips Thompson · 1914

    The classic book on infinitesimal calculus by Thompson, originally published in 1910; then updated with additional material in 1998 by Martin Gardner.

    Mathematics
    Open LibraryAmazon
    Stats for nerds
    81recommend
    163mentions
    135people
    2008–2026years
    60% recommend38% neutral2% critical

    Mentions per year

    2008201020122014201620182020202220242026

    What Hacker News says

    1. homeonthemtnApr 2026
      https://en.wikipedia.org/wiki/Calculus_Made_Easy#:~:text=Cal...

      1910 book, but actually does the job well

      thread
    2. gramieApr 2026
      I would bet that you can find used calculus textbooks quite easily.

      I did chemical engineering long ago (how long? Computerized process control was just being introduced into the curriculum, and we learned to program in Fortran). I did several calculus courses, but it was always just a matter of memorizing techniques.

      Much later, I came across Calculus Made Easy on Project Gutenberg, a textbook from 1914 that actually helped me to understand why calculus works, instead of just treating it like magic.

      https://www.gutenberg.org/files/33283/33283-pdf.pdf

      thread
    3. signa11Dec 2025
      well, i haven't found better introduction to calculus than the 'calculus made easy' book by mr. silvanus-p-thompson.

      have been gifting the hardcopy of that book to all my friend's kids who are interested in these kinds of things.

      highly recommended.

      thread
    4. __rito__Mar 2025
      Since you are eyeing DEs, I would suggest not to spend too much time on Calculus.

      I have two resources in mind: Calculus Made Easy (available freely on Project Gutenberg) by Thompson, and simply Khan Academy.

      Paul Lamar has detailed notes on Calculus, too [0].

      [0]: https://tutorial.math.lamar.edu/Classes/CalcI/CalcI.aspx

      thread
    5. tallesFeb 2025
      I prefer learning from textbooks than online courses, here are my picks (in the order of my first post):

      1. Sorry, I do not have a suggestion here. I'm Brazilian and I happened to find an amazing PDF of an obscure book (by a not well known professor). In Portuguese though.

      2. "Calculus Made Easy" is my book of choice. Don't dismiss it because of the 'cheap' title, it's a very good book.

      3. It's super important to get the intuitions first, and not just the math. So I mostly used two books, both heavily illustrated: "Deep Learning - A Visual Approach" and "Deep Learning Illustrated". Those are way better as an introduction to the field than the 'big names' (Goodfellow/Bengio, Bishop, etc).

      Normally if I'm on youtube, it means I'm struggling with something. The statquest channel is amazing, it's the most 'baby steps' explanations I've ever seen. If I find a video on what I want to understand there, I don't waste my time trying other channels anymore.

      thread
    6. impendiaFeb 2025
      (Math professor here)

      What do you mean by "foundational"?

      I love Calculus Made Easy, but in my opinion the reason it's so good is that it doesn't try to be foundational. It relies on quick and dirty tricks -- especially, treating dy/dx as a fraction when it can't be formally defined as such, but where doing so makes the subject much more intuitive and easy. It's not really a good foundation for further study, you need something that doesn't cut corners for that, but it's fantastic for what it is!

      My favorite foundational book is Linear Algebra by Jim Hefferon:

      https://hefferon.net/linearalgebra/

      It is free, and I've seen the author on HN occasionally. It's foundational in the sense that it builds up the subject brick by brick, assuming the minimum realistic prerequisites needed, and it does an outstanding job of this.

      But it's a slow read, essentially by design. If you want something quicker, you might try Interactive Linear Algebra by Margalit and Rabinoff:

      https://textbooks.math.gatech.edu/ila/

      Again free, with lots of widgets to play with.

      Some other textbooks I really like:

      Epp's Discrete Mathematics is fantastic. The newest edition is astronomically expensive, so go looking for used copies of previous editions.

      Carter's Visual Group Theory is tremendous fun. Once again not foundational per se, but if you want to learn what group theory is all about without slogging through lots of formalities, that's a great choice. I'd say that roughly it's in the spirit of Calculus Made Easy.

      Also, if you enjoy poker, check out Dan Harrington's books on the subject. In the course of explaining hold'em strategy, they will teach you lots about probability, counting, expected value, and game theory in an applied setting. They're fantastically written.

      thread

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