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

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    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?
    EB

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    https://www.amazon.com/Calculus-Dumm...SIN=0764524984

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

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    Quote Originally Posted by steve_bank View Post
    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.
    EB

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    Quote Originally Posted by Speakpigeon View Post
    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?

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    Quote Originally Posted by steve_bank View Post
    Quote Originally Posted by Speakpigeon View Post
    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?!

    Quote Originally Posted by steve_bank View Post
    and how it is applied to actual problems before talking about real numbers, infinitesimals, and intervals.
    See above.

    Quote Originally Posted by steve_bank View Post
    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.

    Quote Originally Posted by steve_bank View Post
    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.

    Quote Originally Posted by steve_bank View Post
    Calculus applies to linear continuous and discrete digital variables.
    And so as the OP says it applies to continuous quantities.

    Quote Originally Posted by steve_bank View Post
    The OP is too simplistic.
    You're the expert here as to simplistic posts.

    Quote Originally Posted by steve_bank View Post
    Do you want to discuss infinities yet again?
    Why not, if need be.

    Quote Originally Posted by steve_bank View Post
    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

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    Quote Originally Posted by Speakpigeon View Post

    You are being needlessly moronic.

    I did learn calculus, and much more.

    So, what are you going to say now?!

    Quote Originally Posted by steve_bank View Post
    and how it is applied to actual problems before talking about real numbers, infinitesimals, and intervals.
    See above.

    Quote Originally Posted by steve_bank View Post
    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.

    Quote Originally Posted by steve_bank View Post
    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.

    Quote Originally Posted by steve_bank View Post
    Calculus applies to linear continuous and discrete digital variables.
    And so as the OP says it applies to continuous quantities.

    Quote Originally Posted by steve_bank View Post
    The OP is too simplistic.
    You're the expert here as to simplistic posts.

    Quote Originally Posted by steve_bank View Post
    Do you want to discuss infinities yet again?
    Why not, if need be.

    Quote Originally Posted by steve_bank View Post
    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.

  7. Top | #7
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    Quote Originally Posted by steve_bank View Post
    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.
    EB

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