Start your journey into the Universe’s most beautiful art form…

Lots and lots more lessons to come!

Check out the book The True Beauty Of Math, Volume 1, The Foundations, which includes bonus material, more detail, extra exercises and full solutions!

To download the book “The Language Of Nature,” which discusses the ideas introduced here as well as much, much more, check out this page.

29 Responses to Lessons

  1. Dan says:

    This is awesome. You are awesome. Thank you!

  2. Pingback: What is mathematics? | The True Beauty of Math

  3. pivoton says:

    These lessons have really opened the door to mathematics for me. Thanks.

  4. Aditya Aggarwal says:

    Great effort…the entire approach of teaching math through set theory is very unique, However I do feel that this approach doesn’t build problem solving as well and early on as an approach which starts with geometry or combinatorics.

    • Thanks for the input, and I agree with you completely. However, as I tried to preface on the front page, my goal here isn’t to create trained mathematicians, but rather simply to expose the reader to a different (and likely unfamiliar) side of math, and to hopefully inspire him/her to pursue it further outside of the site. Therefore problem solving skills and/or a solid foundation in these subjects is not going to be acquired simply be reading this site, but hopefully a deeper understanding of what (lots of) math is all about and the thought processes behind it will be.

      Thanks again for you input, and please don’t hesitate to continue to reply with your thoughts.

  5. Math lover says:

    Thanks for revealing such a beauty to the world man ….. great effort 😀 !

  6. Anonymous says:

    I want to be a mathematician when i grow up

  7. Pingback: Why I love Math, Pt. 1 | The True Beauty of Math

  8. Bowen says:

    How long did it take you to write “The Language of Nature”?

    • Several months, but only part time (i.e., a few nights a week for a few hours at a time). Are you enjoying/did you enjoy it?

      • Bowen says:

        I haven’t read it yet. I only just discovered it after looking ahead in the “Lessons” page. I only just discovered your blog yesterday and so far I’ve read to Lesson 21. But the textbook looks very good. I’ll tell you what I think of your blog and your textbook after I’ve finished reading them. From what I’ve seen so far, Great Work!

  9. Bowen says:

    Also, have you ever considered becoming a teacher?

    • Thanks! Glad you like it, and I hope you continue to do so 🙂 And yes I’ve very much considered it—a teacher and a researcher in my own right. I’m able to do both now and I just hope to continue to do so! It’s late here in the UK so my next response (if necessary) might not be as timely, but I hope you continue to read/enjoy and I’ll respond asap! Cheers

  10. Grambino says:

    I like riding bikes. Can you please post lesson 32?

  11. Pingback: Learn Mathematics Easily With These Free Resources | Switch Idea Blog

  12. H.soontorn says:

    Holy crap these are amazing. You are really revolutionary in your teaching in a way!

  13. pierre says:

    wow thank you very much good kind sir

  14. Anonymous says:

    Can you please work up from set theory to analysis, advanced algebra (linear, geometric) and calculus of a single or multiple variables! I really want to see you teach those concepts in your intuitive and graceful style! (Also- maybe this is too much to ask, well I’ve asked too much already- but can you keep your discussion centralized so that you do not arbitrarily separate mathematics into overlapping topics?).

    • I do indeed plan on keeping this thing going for linear algebra and analysis (and therefore calculus), and even onto things like algebraic geometry and categories, but it will take a LONG time to get to all of these topics while keeping the discussion intuitive and friendly. Since I want to maintain intuitiveness, friendliness, as well as rigor, it will take a long, LONG time to get to these more advanced topics, but rest assured, we’ll eventually get there. I’m glad you seem to be enjoying the site so far though! 🙂

      And I do indeed plan on keeping the discussion centralized and emphasizing — wherever possible — the fact that mathematics is a beautiful unified and not a collection of distinct classes and textbooks.

  15. beginner says:

    Ever since my Analytic Geometry Prof. made us write an overnight quiz – which was hard coz it’s pretty tedious work, but very satisfying – I’ve come to really appreciate Mathematics, not to mention our world including our galaxy and the universe! So I hope I can catch up with everyone else, using your blog! 🙂

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