Thread: Calculus, Real numbers, Continuum, Change...

1. Calculus, Real numbers, Continuum, Change...

Calculus is the kind of mathematics that is the most effective science. Calculus is a way of representing continuous change as composed of an infinity of infinitesimal changes. Calculus is applied to physical properties capable of change such as location in space, degree of humidity in the air or a circuit’s electrical resistance. These properties are thus described as continuous variables with Real numbers for values. These values are particular Real numbers, not intervals of Real numbers and not only Rational numbers.

Would you rather nitpick on that or endorse it?
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2. https://www.amazon.com/Calculus-Dumm...SIN=0764524984

The Book Calculus For Donnie's. Read it first, then we can talk.  Reply With Quote

3. Originally Posted by steve_bank https://www.amazon.com/Calculus-Dumm...SIN=0764524984

The Book Calculus For Donnie's. Read it first, then we can talk.
Read the OP first.
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4. Originally Posted by Speakpigeon Calculus is the kind of mathematics that is the most effective science. Calculus is a way of representing continuous change as composed of an infinity of infinitesimal changes. Calculus is applied to physical properties capable of change such as location in space, degree of humidity in the air or a circuit’s electrical resistance. These properties are thus described as continuous variables with Real numbers for values. These values are particular Real numbers, not intervals of Real numbers and not only Rational numbers.

Would you rather nitpick on that or endorse it?
EB
First learn calculus and how it is applied to actual problems before talking about real numbers, infinitesimals, and intervals.

For example not all variables are continuous in the real world, they can have discontinuities. All covered in basic calculus. Real numbers are are subset of complex numbers with an imaginary value of 0. The second half of calculus is multivariable calcus and complex numbers.

Calculus applies to linear continuous and discrete digital variables.

The OP is too simplistic. Do you want to discuss infinities yet again?

Do you know what the first two derivatives are?  Reply With Quote

5. Originally Posted by steve_bank  Originally Posted by Speakpigeon Calculus is the kind of mathematics that is the most effective science. Calculus is a way of representing continuous change as composed of an infinity of infinitesimal changes. Calculus is applied to physical properties capable of change such as location in space, degree of humidity in the air or a circuit’s electrical resistance. These properties are thus described as continuous variables with Real numbers for values. These values are particular Real numbers, not intervals of Real numbers and not only Rational numbers.

Would you rather nitpick on that or endorse it?
First learn calculus
You are being needlessly moronic.

I did learn calculus, and much more.

So, what are you going to say now?! Originally Posted by steve_bank and how it is applied to actual problems before talking about real numbers, infinitesimals, and intervals.
See above. Originally Posted by steve_bank For example not all variables are continuous in the real world, they can have discontinuities.
You are being needlessly moronic.

There are no variables in the real world. Variables are mathematical abstractions. Originally Posted by steve_bank All covered in basic calculus. Real numbers are are subset of complex numbers with an imaginary value of 0. The second half of calculus is multivariable calcus and complex numbers.
Sure. And that's all irrelevant to the OP. Originally Posted by steve_bank Calculus applies to linear continuous and discrete digital variables.
And so as the OP says it applies to continuous quantities. Originally Posted by steve_bank The OP is too simplistic.
You're the expert here as to simplistic posts. Originally Posted by steve_bank Do you want to discuss infinities yet again?
Why not, if need be. Originally Posted by steve_bank Do you know what the first two derivatives are?
The derivatives of which function?

I guess the best way to describe you is "bilious". You want to lecture but the scope of your expertise is extremely narrow and basic. And you are narrow-minded and resentful. Not much to talk about then.
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6. Originally Posted by Speakpigeon You are being needlessly moronic.

I did learn calculus, and much more.

So, what are you going to say now?! Originally Posted by steve_bank and how it is applied to actual problems before talking about real numbers, infinitesimals, and intervals.
See above. Originally Posted by steve_bank For example not all variables are continuous in the real world, they can have discontinuities.
You are being needlessly moronic.

There are no variables in the real world. Variables are mathematical abstractions. Originally Posted by steve_bank All covered in basic calculus. Real numbers are are subset of complex numbers with an imaginary value of 0. The second half of calculus is multivariable calcus and complex numbers.
Sure. And that's all irrelevant to the OP. Originally Posted by steve_bank Calculus applies to linear continuous and discrete digital variables.
And so as the OP says it applies to continuous quantities. Originally Posted by steve_bank The OP is too simplistic.
You're the expert here as to simplistic posts. Originally Posted by steve_bank Do you want to discuss infinities yet again?
Why not, if need be. Originally Posted by steve_bank Do you know what the first two derivatives are?
The derivatives of which function?

I guess the best way to describe you is "bilious". You want to lecture but the scope of your expertise is extremely narrow and basic. And you are narrow-minded and resentful. Not much to talk about then.
EB
From past history I probably should not have posted on this thread. We have no basis form communication.  Reply With Quote

7. Originally Posted by steve_bank From past history I probably should not have posted on this thread. We have no basis form communication.
The reason is simple and for all to see. I'm open to debate. You're not.
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