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Calculus Made Easy (1914) [pdf]

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Re: Calculus Made Easy (1914) [pdf]

#71
post #48

Earlier quoted context omitted.

And a slightly updated physical version as well http://a.co/gI4K8oe

With an affiliate link nice

Here you go:

https://www.amazon.com/s/ref=nb_sb_ss_i_3_20?url=search-alia...

Just click the book, then under "Share" click the email button, and you'll see..........

Re: Calculus Made Easy (1914) [pdf]

#74
post #69

This is a good book. But on page 5 you have an error: it should say trillionth instead of billionth. I find myself liking your approach, though. You should change the font and insert some more diagrams. Oh, what's that... you can't just republish instantly because electronic computers haven't been invented yet? Well, just iterate and do things that don't scale :)

It's actually circa 1914 British usage rather than an error.

Re: Calculus Made Easy (1914) [pdf]

#75
post #69

This is a good book. But on page 5 you have an error: it should say trillionth instead of billionth. I find myself liking your approach, though. You should change the font and insert some more diagrams. Oh, what's that... you can't just republish instantly because electronic computers haven't been invented yet? Well, just iterate and do things that don't scale :)

It's actually circa 1914 British usage rather than an error.

Really? What'd they call a one followed by nine zeros then?

Re: Calculus Made Easy (1914) [pdf]

#76

In my experience, everything is easy if you DON'T try to learn it using analogies and metaphors.

Terrible advice! I tell all of my students to find as many analogies as they can. You can never lose by increasing the number of ways in which you understand something. Analogies, some may argue, are at the heart of mathematics. > Mathematics is the art of giving the same name to different things Poincare. > The art of doing mathematics consists in finding that special case which contains all the germs of generality…

Everyone has their own philosophy of mathematics. To me, the core idea is the idea of representations, such that those representations allow you to extract patterns (aka similarity or commonality) from various cases.

Re: Calculus Made Easy (1914) [pdf]

#77
post #68

MIT recorded a set of Calculus video courses back in 1970s that they have since made publicly available. It is taught by a lecturer named Herbert Gross. His style of lecturing is clear, he states why things are defined the way they are and derives everything from first principles. There is an unusual mix of rigor and focus on building understanding - where everything comes from. It also taught me that math is about r…

Thanks for sharing this - watched the intro lecture and I'm hooked! This is my idea of "Netflix & chill"

Note that “Netflix and chill” is a euphemism for casual sex. http://www.urbandictionary.com/define.php?term=netflix%20and...

Re: Calculus Made Easy (1914) [pdf]

#78

Earlier quoted context omitted.

Terrible advice! I tell all of my students to find as many analogies as they can. You can never lose by increasing the number of ways in which you understand something. Analogies, some may argue, are at the heart of mathematics. > Mathematics is the art of giving the same name to different things Poincare. > The art of doing mathematics consists in finding that special case which contains all the germs of generality…

Everyone has their own philosophy of mathematics. To me, the core idea is the idea of representations, such that those representations allow you to extract patterns (aka similarity or commonality) from various cases.

I can't help but indulge a bit and now ask whether or not we can't​ extract a common pattern from the two representations of mathematical cognition offered by yourself and GP. :-)

Re: Calculus Made Easy (1914) [pdf]

#79
post #75

Earlier quoted context omitted.

It's actually circa 1914 British usage rather than an error.

Really? What'd they call a one followed by nine zeros then?

Not sure what they called our definition of a billion, but that was definitely the naming scheme [0]

[0] https://en.oxforddictionaries.com/explore/how-many-is-a-bill...

Re: Calculus Made Easy (1914) [pdf]

#80
post #35

Earlier quoted context omitted.

This is why I love used books. My copy of Schopenhauer's collected essays has gone through 4 owners since 1914, all 4 of whom have signed and dated the front cover, all of 4 of whom have marked and underlined at different spots (including, now, myself). My copy of Riverside Chaucer went through two students before me. And they all pick up their own unique scents along the way (my girlfriend jokes that I only buy book…

I'm with you guys! This book has some serious character. The cover, handwriting, imperfections, and on top of it all, the writing style. The problem with used books tho is that sometimes I find hair. Ugh.

So what? You remove the hair and read on.
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