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Thread: Multivraibale calculus

  1. #1 Multivraibale calculus 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Finally i had the chance to abandon 2dimensional single variable calculus and made my way to Multivariable calculus. Just as i cleared my doubts and concepts with partial derivatives, i decide to march in to Multiple integrals. Then this problem came and i was alittle confused, can anyone please help me??



    Again i have a rough idea, but m not sure so maybe i can get some guiding clues to the problem


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  3. #2 Re: Multivraibale calculus 
    . DrRocket's Avatar
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    Quote Originally Posted by Heinsbergrelatz
    Finally i had the chance to abandon 2dimensional single variable calculus and made my way to Multivariable calculus. Just as i cleared my doubts and concepts with partial derivatives, i decide to march in to Multiple integrals. Then this problem came and i was alittle confused, can anyone please help me??



    Again i have a rough idea, but m not sure so maybe i can get some guiding clues to the problem
    Google "Jacobian", "volume element", "change of variables"


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  4. #3 Re: Multivraibale calculus 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Quote Originally Posted by DrRocket
    Quote Originally Posted by Heinsbergrelatz
    Finally i had the chance to abandon 2dimensional single variable calculus and made my way to Multivariable calculus. Just as i cleared my doubts and concepts with partial derivatives, i decide to march in to Multiple integrals. Then this problem came and i was alittle confused, can anyone please help me??



    Again i have a rough idea, but m not sure so maybe i can get some guiding clues to the problem
    Google "Jacobian", "volume element", "change of variables"
    Dr.Rocket, do you know any good source or books for learning multivariable calculus?? I have some at home, but problems aren't challenging. I want some challenging problems in multivariable calculus(well im not on the level yet, but soon i will be, hopefully). It will be great if you can provide me with some sources. Thank you in advance.
    ------------------




    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


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  5. #4 Re: Multivraibale calculus 
    . DrRocket's Avatar
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    Quote Originally Posted by Heinsbergrelatz
    Quote Originally Posted by DrRocket
    Quote Originally Posted by Heinsbergrelatz
    Finally i had the chance to abandon 2dimensional single variable calculus and made my way to Multivariable calculus. Just as i cleared my doubts and concepts with partial derivatives, i decide to march in to Multiple integrals. Then this problem came and i was alittle confused, can anyone please help me??



    Again i have a rough idea, but m not sure so maybe i can get some guiding clues to the problem
    Google "Jacobian", "volume element", "change of variables"
    Dr.Rocket, do you know any good source or books for learning multivariable calculus?? I have some at home, but problems aren't challenging. I want some challenging problems in multivariable calculus(well im not on the level yet, but soon i will be, hopefully). It will be great if you can provide me with some sources. Thank you in advance.
    I like Calculus on Manifolds by Spivak and Functions of Several Variables by Woll.

    Any book with "Advanced Calculus" in the title should cover the basics.

    Elements of Real Analysis by Bartle and Principles of Mathematical Analysis by Rudin also cover multivariable calculus, but at a more theoretical level.
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  6. #5 Re: Multivraibale calculus 
    Forum Ph.D. Heinsbergrelatz's Avatar
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    Quote Originally Posted by DrRocket
    Quote Originally Posted by Heinsbergrelatz
    Quote Originally Posted by DrRocket
    Quote Originally Posted by Heinsbergrelatz
    Finally i had the chance to abandon 2dimensional single variable calculus and made my way to Multivariable calculus. Just as i cleared my doubts and concepts with partial derivatives, i decide to march in to Multiple integrals. Then this problem came and i was alittle confused, can anyone please help me??



    Again i have a rough idea, but m not sure so maybe i can get some guiding clues to the problem
    Google "Jacobian", "volume element", "change of variables"
    Dr.Rocket, do you know any good source or books for learning multivariable calculus?? I have some at home, but problems aren't challenging. I want some challenging problems in multivariable calculus(well im not on the level yet, but soon i will be, hopefully). It will be great if you can provide me with some sources. Thank you in advance.
    I like Calculus on Manifolds by Spivak and Functions of Several Variables by Woll.

    Any book with "Advanced Calculus" in the title should cover the basics.

    Elements of Real Analysis by Bartle and Principles of Mathematical Analysis by Rudin also cover multivariable calculus, but at a more theoretical level.
    Oh yes i have Spivak's and surely I like it too. But currently im just getting the basic with McGrawHill's Schaum's outlines Advanced calculus. are you familiar with the book?
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    "Mathematicians stand on each other's shoulders."- Carl Friedrich Gauss


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