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Math, Better Explained: Learn to Unlock Your Math Intuition Kindle Edition
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|Length: 97 pages||Word Wise: Enabled||Enhanced Typesetting: Enabled|
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Top Customer Reviews
Of course they didn't use it. They didn't understand it the first time.
But if they'd been taught the way Kalid's explains math, not only would they understand it so well they could use it all the time, but they'd have fun doing it.
Which Pizza will do a better job of feeding my family, the small and medium, or the large? Pathagorean's theorem to the rescue.
Pathagoras? The triangle thing?
Sure enough. But not by memorizing it, by the insight that comparing circles works by the same rules that comparing triangles do.
Ever thought anyone would give you an intuitive sense of calculus? As Kalid says, "We don't need to be writers to appreciate Shakespeare," and we don't need to be math geniuses to appreciate calculus.
There are lots of great courses that will teach you how to do many things, and they are good for what they do. Yet with most of them I got the sense that each lesson only applied to one very specific situation, usually a situation I would never be in. And there were hundreds of these little rules, each applying only to their own very specific situation.
But Math, Better Explained, is totally different. Kalid only talks about a dozen things. One of them is not a rule at all, just a way of looking at things Another one he spent 2 chapters on because the way I was taught it missed how useful it is. Chapter after chapter he demystifies concepts that most of us had given up on. He makes them so clear that now I can apply them in hundreds of situations, situations I'm in, if not every day, at least several times a month, where I want answers, sometimes exact and sometimes just close enough.
If you ever wanted to master math, I haven't found a faster, nor an easier way.
Wilfredo Pareto is famous for a principle called the 80/20 rule. 80% of the value comes from just 20% of your efforts. And the secret to life is figuring out where those 20% efforts are at.
Kalid has done this one better.
If you want 90% of the value of a complete math education for 1% of the effort (but 200% of the fun), this is the book you want to buy.
If you want to clear the fog around key math concepts, and show your family, your children, your friends, how to understand math, this is the book you want to show them.
And if you are just tired of saying, "Oh, I'm not good with math," and instead want to be good at it, this is the book that you want to have fun reading while mastering all those math concepts.
The author makes the very useful and widely overlooked point that the intuition behind abstract concepts or theorems can be recovered by reversing the direction from abstract to specific and explaining how one can arrive at applied/concrete instances from the pure/distilled forms.
As such the author is not only helping the reader to demystify math (making it more accessible to anyone with common sense) but paves the way for developing modeling skills where those concepts can be successfully applied to real-world problems.
This is a very worthwhile undertaking and I would personally love to see the author extend this effort to more concepts e.g. determinants, adjoint/hermitian matrices, regression and function approximation etc. This type of explanations could serve as supplementary math texts or - in the form of wiki where others could share the burden of providing their intuition - as a very valuable reference.
Only gave 4 stars for the somewhat random selection of examples to be explained but would recommend this book without any reservations.
I've reviewed many books while running math-blog.com: very few are this approachable and entertaining while helping you truly learn. Highly recommended!
This isn't really a calc book per se. Rather, it is a book dedicated to reframing the conceptual machinery for fundamental ideas such as radians, logarithms and exponents that are taught in later algebra and trig classes in high school. This reframing for an intuitive rather than mechanical understanding is revolutionary in my opinion. Though I eventually achieved some of this on my own following much angst and struggle, this material could easily have been integrated into the relevant high school classes - thereby helping a lot of kids.
I recommend this book highly. Yes, it is suitable for high school kids on a STEM track, but it is also great reading for guys like me who deal with imaginary numbers daily. It is also good for people who are intellectually curious and want to better understand the world. If you are a high school math teacher you should also read this book! SIX stars!
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