Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Calculus book

I found this site it has a calculus book. I haven't looked at it thoroughly yet.

http://www.vias.org/calculus/index.html

I know everyone has tons of calculus books but just in case you want to download the book in PDF format  ≈ 25MB. It is free and in the public domain.

http://www.math.wisc.edu/~keisler/calc.html

Last edited by bobbym (2009-06-21 03:45:38)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Tigeree

Member

Registered: 2005-11-19

Posts: 13,883

Re: Calculus book

Good, thank you, bobby! I've been looking for one of these for ages now!

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People don't notice whether it's winter or summer when they're happy.
~ Anton Chekhov
Cheer up, emo kid.

MathsIsFun

Administrator

Registered: 2005-01-21

Posts: 7,711

Re: Calculus book

Is the infinitesimal approach a good one?

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"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Calculus book

Hi Maths;

  Over the last few years I have been hearing about certain mathematicians and their efforts to eliminate the continuous part of math and replace it by the discrete. Integration to be replaced by summation, derivatives replaced by differences and so on. I don't even know if this is the same thing.

  This book is apparently based on something called non standard analysis. It was put on firm ground by Robinson in the 1960's. I had know idea the book was so controversial, I found it useful when it helped me with a post and I didn't look at any other part of the book.

  Anyway, infinitesimals was how Newton and Leibniz viewed the calculus.

Hi Tigeree;

  Perhaps you should wait before calling it your book of choice. Mathsisfun has raised some questions.

Last edited by bobbym (2009-06-22 10:00:05)

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Tigeree

Member

Registered: 2005-11-19

Posts: 13,883

Re: Calculus book

Yeah, that is a good point. I guess.

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People don't notice whether it's winter or summer when they're happy.
~ Anton Chekhov
Cheer up, emo kid.