Tag Archives: math

The best book to learn calculus from

This may be the best book to learn calculus from: Calculus Made Easy.

I like it for two reasons. One, it’s free. Two, it does not take itself seriously nor does it take calculus seriously. To see what I mean, here’s a clip from the beginning of the e-book:

Considering how many fools can calculate, it is surprising that it should be thought either a difficult or a tedious task for any other fool to learn how to master the same tricks. Some calculus-tricks are quite easy. Some are enormously difficult.

The fools who write the textbooks of advanced mathematics—and they are mostly clever fools—seldom take the trouble to show you how easy
the easy calculations are. On the contrary, they seem to desire to impress you with their tremendous cleverness by going about it in the most difficult way.

Being myself a remarkably stupid fellow, I have had to unteach myself the difficulties, and now beg to present to my fellow fools the parts that are not hard. Master these thoroughly, and the rest will follow. What one fool can do, another can.

So if you want to learn calculus but are struggling, give that book a look. Sure it’s an old book, but calculus is an old subject. It may suit you just fine.

(Photo by Jeswin Thomas on Unsplash)

Great insights on mathematics you should read about even if you don’t think you want to


I suspect many people will not want to read this article containing great insights on mathematics by Steve Strogatz. That’s a shame, because it is really approachable by anyone of any mathematical ability. It’s especially good for people with limited math skills, because he does a good job of showing the value and benefits to be gained from thinking mathematically. I highly recommend it if you read it.

For example, one thing I found fascinating is his discussion of the Prisoner’s Dilemma by comparing it to religion. You should read it, but in short, it’s been shown that one approach to succeeding in playing several rounds of the Prisoner’s Dilemma is to use a Tit-for-Tat strategy. This is highly effective and is similar to Old Testament Eye-for-an-Eye morality. However that can also go wrong on occasion, leading to long lasting feuds that never get resolved. Then he gets into a discussion of New Testament morality and how that can avoid some of the problems of Old Testament morality. It’s a great discussion, and one of the many great discussions in the article.

Photo by Erol Ahmed on Unsplash

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9 Numbers That Are Cooler Than Pi


Fun! For all you number theory fans out there: 9 Numbers That Are Cooler Than Pi

I still think Pi is pretty cool. But so are these other numbers.

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Why math is great, and other interesting ideas, from Steven Strogatz

It’s hard to say why this interview with Strogatz is so good, other than to say he covers much ground on a variety of interesting topics and speaks lively on them. (Ok, I find game theory, “elegant” math, math education, etc, interesting, but you likely will too).

If you enjoyed this interview, he has a recent book out, “Joy of X: A Guided Tour of Math, from One to Infinity.” Worth a look. 

Interview is here: Steven Strogatz interview on math education and other related topics

A math lover’s post

I knew that Paris had streets named after politicians and historical figures, but I didn’t know how many Paris streets are named after mathmaticians. Apparently quite a few! Amazing. One more reason to love Paris.

Dover publishers have the best books when it comes to math. If you want to see some of their better ones, see this list.

Good stuff.

Published on 9/29 at 9:29 🙂

 

My favourite mathematics proof.

Is this:

A nice use of computing to refute an old conjecture from no less than Euler.

Found thanks to a tweet from Aatish Bhatia 

Is your day boring? You need to think bigger thoughts. Here’s a short post on Infinity

This is a great introduction to the topic of Infinity. I think even people who struggle with math will get this and enjoy it.

Unless you studied mathematics, you likely didn’t know that about infinity. It is fascinating stuff, I find.

Found here: Infinity is bigger than you think – Numberphile – YouTube via @anitaleirfall on twitter.