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Calculus Made Easy (1910)

calculusmadeeasy.org

51–60 of 76 posts

Re: Calculus Made Easy (1910)

#51

> Obviously 1 minute is a very small quantity of time compared with a whole week. Indeed, our forefathers considered it small as compared with an hour, and called it “one minùte,” meaning a minute fraction–namely one sixtieth–of an hour. When they came to require still smaller subdivisions of time, they divided each minute into 60 still smaller parts, which, in Queen Elizabeth's days, they called “second minùtes” (i.…

[deleted]

Re: Calculus Made Easy (1910)

#52
This is amazing! The fonts are easy on eyes and page renders beautifully.

If you are looking for vidoes, then check lectures by Herber Gross [0] on Youtube. These were recorded in 70s. They are in black & white, gives a feeling of watching some old beautifully shot movie. He goes into basics and gives you a taste of all derivations, by hand. Watch the first lecture by yourself [1] and you will immediately realise how good are these.

On a similar note, any similar resources like the one submitted, but for Linear Algebra? I am aware of Gilbert Strang's book [2] and vidoes [3], but I find them advanced for a beginner.

[0] - https://en.wikipedia.org/wiki/Herbert_Gross

[1] - https://www.youtube.com/watch?v=MFRWDuduuSw

[2] - https://ocw.mit.edu/courses/mathematics/18-06-linear-algebra...

[3] - http://math.mit.edu/~gs/linearalgebra/

Re: Calculus Made Easy (1910)

#53
post #24

From the book: >I To deliver you from the Preliminary Terrors >The preliminary terror [..] can be abolished once for all by simply stating what is the meaning–in common-sense terms–of the two principal symbols: (1) d, which merely means “a little bit of.” Thus dx means a little bit of x; or du means a little bit of u. (2) ∫, which is merely a long S, and may be called (if you like) “the sum of.” As someone who taught…

Indeed. They never explained this at school and we were just memorizing and applying formulae having no idea of the meaning. So many years have passed an I've only realized what does the d actually mean some weeks ago and now I see this book explaining it this easy at the very beginning written in 1910!

I've seen a similar effect in various other topics too, and propose the saying "the closer a subject is to its infancy, the clearer it will be taught". Two examples of this come to mind. The first is in the automotive industry, with early videos such as https://news.ycombinator.com/item?id=15122031 (and older discussion at https://news.ycombinator.com/item?id=8513209 ) as well as the detailed yet straightforward explanations in the service manuals of the time. The second example is with early computers; I remember an engineering text from the late 50s/early 60s that managed to include a surprisingly lucid chapter on assembly language programming, essentially showing how to write programs to solve numerical problems. Later on, microprocessor and home computer user manuals would also contain such information.

Re: Calculus Made Easy (1910)

#54

> Obviously 1 minute is a very small quantity of time compared with a whole week. Indeed, our forefathers considered it small as compared with an hour, and called it “one minùte,” meaning a minute fraction–namely one sixtieth–of an hour. When they came to require still smaller subdivisions of time, they divided each minute into 60 still smaller parts, which, in Queen Elizabeth's days, they called “second minùtes” (i.…

I wasn't sure I believed this, so I looked it up: https://www.etymonline.com/word/second and yep, that's generally the right history.

In Medieval Latin, pars minuta prima "first small part" was used by mathematician Ptolemy for one-sixtieth of a circle, later of an hour (next in order was secunda minuta, which became second).

Re: Calculus Made Easy (1910)

#57

Isn't this public domain by now?

From the website, yes it is, and exists as a pdf on project guttenberg. This is just relayed-out. > About this edition & thanks > The text is based on the PDF version from Project Gutenberg converted to html by hand. > Thanks to Paula Appling, Don Bindner, Chris Curnow, Andrew > D. Hwang and Project Gutenberg Online Distributed Proofreading Team for preparing the original PDF. > The theme is borrowed from Dive Into H…

There's also an edition on the market updated by Martin Gardner, which isn't PD.

Re: Calculus Made Easy (1910)

#59

Although the calculus concepts from 1910 may still be relevant, quotes like these make the book outputting -- "The preliminary terror, which chokes off most fifth-form boys from even attempting to learn how to calculate..." Ugh!

The Martin Gardner edition updates much of that kind of language.

Re: Calculus Made Easy (1910)

#60
Is there an updated version? The style is great, but terms like “farthing” seem like they could be replaced to make for a few less speed bumps and keep people going longer.

I know it’s a quibble and no fault of the author’s that time has passed, but smooothing out litttle bumps get more people deeper into the content.

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