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    Cover of Calculus the easy way

    Calculus the easy way

    Douglas Downing · 1982

    This ingenious, user-friendly introduction to calculus recounts adventures that take place in the mythical land of Carmorra. As the story's narrator meets Carmorra's citizens, they confront a series of practical problems, and their method of working out solutions employs calculus. As readers follow their adventures, they are introduced to calculating derivatives; finding maximum and minimum points with derivatives; determining derivatives of trigonometric functions; discovering and using integrals; working with logarithms, exponential functions, vectors, and Taylor series; using differential equations; and much more. This introduction to calculus presents exercises at the end of each chapter and gives their answers at the back of the book. Step-by-step worksheets with answers are included in the chapters. Computers are used for numerical integration and other tasks. The book also includes graphs, charts, and whimsical line illustrations. Barron's Easy Way books introduce a variety of academic and practical subjects to students and general readers in clear, understandable language. Ideal as self-teaching manuals for readers interested in learning a new career-related skill, these books have also found widespread classroom use as supplementary texts and brush-up test-preparation guides. Subject heads and key phrases that need to be learned are set in a second color.

    Mathematics
    Open LibraryAmazon
    Stats for nerds
    6recommend
    8mentions
    7people
    2009–2026years
    88% recommend13% neutral

    Mentions per year

    2009201120132015201720192021202320252026

    What Hacker News says

    1. in_cahootsMar 2026
      My father introduced this book to me when I was around 10. I will forever be grateful.

      https://www.worldofbooks.com/products/calculus-the-easy-way-...

      thread
    2. wallflowerOct 2023
      My calculus teacher tried to talk me out of taking the AP Calculus AB exam because I wasn’t doing that well in his class. “Calculus the Easy Way” which teaches in the setting of a mythical fantasy world where applied problems are solved with calculus unlocked the secret of calculus for me. I ended up scoring a “4” which was a big triumph for me, as it placed me out of taking calculus with all the people who did not want to be taking calculus.

      https://www.thriftbooks.com/w/calculus-the-easy-way-easy-way...

      thread
    3. jsmith45Apr 2022
      Yeah, I must say I prefer the math teaching approach of:

      1. Explain some problem that is difficult to solve using other techniques. Ideally the problem should be interesting, even if potentially somewhat abstract.

      2. Propose a technique to solve it, without requiring full rigor, but that allows for intuitively feeling that the technique is probably valid.

      3. Show that the technique also works on other different problems.

      4. Show show some flaws (or limits of generality) of the technique. Propose fixes for the flaw, and/or better outline where the technique viable.

      5. Now either prove the technique's validity more rigorously (need not be a perfect proof, especially if a full proof requires far more complicated mathematics) or extend this technique to be able to solve more (but eventually coming back to proving the validity).

      This sort of approach is has been used in educational videos like some of threeblueonebrown's on youtube, and I've also seen this used as a faux historical development of algebra and high school calculus in "Algebra: the easy way", and "Calculus: the easy way", which did a great job of motivating the development of most of the ideas in those courses. I'm not familiar with similar texts for higher level mathematics (which would have a different tone, since they would be targeting adults, not teens/children), but surely some must exist, right?

      This is infinitely better than the all too common higher level math textbook approach of:

      1. Here is some unfamiliar theorem, that you might not even really understand, and certainly have no clue of the relevance.

      2. Now here is how to prove the theorem. (Which you might be able to follow, but you probably don't really care about right now).

      3. Now we finally explain what the theorem is, and hint at (but may fail to show why) it might be useful.

      thread
    4. dnrJul 2021
      No relation to the link, but does anyone else remember these books?

      Algebra the Easy Way - https://www.goodreads.com/book/show/6781.Algebra_the_Easy_Wa...

      Trigonometry the Easy Way - https://www.goodreads.com/book/show/2077099.Trigonometry_the...

      Calculus the Easy Way - https://www.goodreads.com/book/show/3074478-calculus-the-eas...

      I read these in 5th grade or so and learned most of middle school and high school math just from those.

      They're written as a fantasy novel in which the characters discover the relevant math concepts as part of the story. I know, you're thinking that's a silly gimmick and it can't possibly be any good, but it was actually done quite well. At least until the later parts of Calculus where the situations have to get pretty contrived.

      Highly recommended, at least for precocious kids who like math and fantasy novels.

      thread
    5. JoshTriplettJul 2020
      As a child, I greatly enjoyed "Algebra the Easy Way", "Trigonometry the Easy Way", and "Calculus the Easy Way". They present each of the subjects not as already-invented concepts that you just have to learn, but as things being invented by a fictional kingdom as they need them. I greatly prefer that style over rote memorization; I can remember it better when I know how to recreate it. Even more importantly, it encourages the mindset that all of these things were invented, and that other things can be, too.

      (Note: the other books in the "Easy Way" series do not follow the same style, and are just ordinary textbooks.)

      Also, in a completely different direction, I haven't seen anyone mention Feynman yet, and that will definitely encourage a broader view of mathematics and science.

      Or, to go another angle, you might consider things like "Thinking, Fast and Slow".

      thread
    6. JoshTriplettMar 2015
      > Professor E McSquared's Calculus Primer: http://www.math.sjsu.edu/~swann/mcsqrd.html -- I actually was poking around my mom's copy when I was about seven or so, but didn't start understanding it until later. The comics made me interested in the content, and I think was a key factor in my growing up enjoying math rather than despising it.

      I had a similar experience with "Calculus the Easy Way", and its predecessors "Algebra the Easy Way" and "Trigonometry the Easy Way", all of which I'd highly recommend. They teach the topics as though being invented for the first time by a kingdom finding themselves in need of them.

      thread

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