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bobbym wrote:

They are superhuman

How?

He who designs the chisel for carving the best sculpture hasn't got more talent than the one who carves it

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

I agree but we were talking about the fact that they have mastered a difficult mathematical discipline. One that few mathematicians are capable of.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

Maybe my opinions should be better when I really start using them

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

It is like arguing against using a ballpoint pen just because Euler did not have one. Or not using electricity because Gauss did not need it.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

Nope, I am not arguing against CAS

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

The school system is the one arguing against them.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

Yeah!

Maybe a 14 year old is not supposed to get into that so soon, I already have the tendency of making sily mistakes and relying on calculators will defocus me more

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Hmmm, maybe but maybe it will help you focus by removing the drudgery of calculation from your work.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Yes, but at school they won't allow me to carry a calculator

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

They have been arguing about that for 50 years over here. I guess you know what side I have been arguing.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Yes, but I do not know what I should argue for

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

That is okay, you have plenty of time to learn those things. You are on the right forum that is for sure.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Do I have to know integration before I can use a CAS?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

You have not learned it yet. Install the CAS and it automatically becomes your new teacher.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Does it mean it will teach me Calculus? Even if I don't know?

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

Not exactly but it will check your answers. You can do as many problems as you want and it will tell you when you are right.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,557

Agnishom, Calculus (the fundamentals anyways) is not too arduous with the correct resources. There are numerous online resources which make learning Calc easy at any age (by the way, the MIF calculus tutorials are great). Anyways, as far as I know, wxMaxima can be used for many other things not involving calculus.

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Agreed

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,557

Have you done much on limits and differentiation yet?

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I just know the fundamental idea and a little formula

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,557

So are you familiar with the idea of a limit? Anyways, there is this great book "Calculus Made Easy". It is small and is 60 years old (but was recently renovated by Martin several years back). It is great and teaches even the chain rule with ease.

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Let me see, Thank You

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,557

http://en.wikipedia.org/wiki/Calculus_Made_Easy

The original book is 103 years old though... Yet I believe it is the more comprehendable introductory calculuss book I have ever had the pleasure to read.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,256

That is a very good book and it taught me.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Lots of Thanks

I like the book http://calculusmadeeasy.info/

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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