Books explaining differentiation under the integral sign
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I've heard that this is a great tool to have in you math toolkit, but I cannot comprehend this method just from the wiki entry and 2 page pdf files.
I'm looking for a book which has problems (preferably solutions). I'm not well versed in mathematical notation, but I'm currently doing a course on multi variable calculus. Is this method an alternative to the Jacobian, or am I mistaken? Is it really that useful?
integration reference-request derivatives
asked Apr 2 '14 at 7:06
studenstuden
1615
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add a comment |
$begingroup$
I've heard that this is a great tool to have in you math toolkit, but I cannot comprehend this method just from the wiki entry and 2 page pdf files.
I'm looking for a book which has problems (preferably solutions). I'm not well versed in mathematical notation, but I'm currently doing a course on multi variable calculus. Is this method an alternative to the Jacobian, or am I mistaken? Is it really that useful?
integration reference-request derivatives
asked Apr 2 '14 at 7:06
studenstuden
1615
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2
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Link.
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– Lucian
Apr 2 '14 at 7:12
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@lucian I've seen this pdf before, but by looking at it it seems to me that this method can be used in very specific problems only. Then why is it called extremely useful?
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– studen
Apr 2 '14 at 7:46
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It is only useful in very specific problems. But then again, so is a screwdriver. And I think screwdrivers are very useful.
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– davidlowryduda♦
Apr 2 '14 at 8:08
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@mixedmath I see what you did :). But isn't it a false analogy? Could I use successfully use differentiation under integral sign (hopefully reducing the amount of work) in solving integrals which can be expressed in "traditional" functions? Do you use this tool a lot?
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– studen
Apr 2 '14 at 8:18
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There's no one-size-fits-all-tool-for-solving-all-integrals-out-there. Not even complex integration! Some integrals, for instance, are so hard, that they have to first be simplified with various different methods before ultimately being delivered into the hands of contour integration and/or the residue theorem.
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– Lucian
Apr 2 '14 at 8:46
add a comment |
$begingroup$
I've heard that this is a great tool to have in you math toolkit, but I cannot comprehend this method just from the wiki entry and 2 page pdf files.
I'm looking for a book which has problems (preferably solutions). I'm not well versed in mathematical notation, but I'm currently doing a course on multi variable calculus. Is this method an alternative to the Jacobian, or am I mistaken? Is it really that useful?
integration reference-request derivatives
asked Apr 2 '14 at 7:06
studenstuden
1615
$endgroup$
I've heard that this is a great tool to have in you math toolkit, but I cannot comprehend this method just from the wiki entry and 2 page pdf files.
I'm looking for a book which has problems (preferably solutions). I'm not well versed in mathematical notation, but I'm currently doing a course on multi variable calculus. Is this method an alternative to the Jacobian, or am I mistaken? Is it really that useful?
integration reference-request derivatives
integration reference-request derivatives
asked Apr 2 '14 at 7:06
studenstuden
1615
asked Apr 2 '14 at 7:06
studenstuden
1615
asked Apr 2 '14 at 7:06
studenstuden
1615
asked Apr 2 '14 at 7:06
studenstuden
1615
asked Apr 2 '14 at 7:06
studenstuden
1615
1615
2
$begingroup$
Link.
$endgroup$
– Lucian
Apr 2 '14 at 7:12
$begingroup$
@lucian I've seen this pdf before, but by looking at it it seems to me that this method can be used in very specific problems only. Then why is it called extremely useful?
$endgroup$
– studen
Apr 2 '14 at 7:46
$begingroup$
It is only useful in very specific problems. But then again, so is a screwdriver. And I think screwdrivers are very useful.
$endgroup$
– davidlowryduda♦
Apr 2 '14 at 8:08
$begingroup$
@mixedmath I see what you did :). But isn't it a false analogy? Could I use successfully use differentiation under integral sign (hopefully reducing the amount of work) in solving integrals which can be expressed in "traditional" functions? Do you use this tool a lot?
$endgroup$
– studen
Apr 2 '14 at 8:18
$begingroup$
There's no one-size-fits-all-tool-for-solving-all-integrals-out-there. Not even complex integration! Some integrals, for instance, are so hard, that they have to first be simplified with various different methods before ultimately being delivered into the hands of contour integration and/or the residue theorem.
$endgroup$
– Lucian
Apr 2 '14 at 8:46
add a comment |
2
$begingroup$
Link.
$endgroup$
– Lucian
Apr 2 '14 at 7:12
$begingroup$
@lucian I've seen this pdf before, but by looking at it it seems to me that this method can be used in very specific problems only. Then why is it called extremely useful?
$endgroup$
– studen
Apr 2 '14 at 7:46
$begingroup$
It is only useful in very specific problems. But then again, so is a screwdriver. And I think screwdrivers are very useful.
$endgroup$
– davidlowryduda♦
Apr 2 '14 at 8:08
$begingroup$
@mixedmath I see what you did :). But isn't it a false analogy? Could I use successfully use differentiation under integral sign (hopefully reducing the amount of work) in solving integrals which can be expressed in "traditional" functions? Do you use this tool a lot?
$endgroup$
– studen
Apr 2 '14 at 8:18
$begingroup$
There's no one-size-fits-all-tool-for-solving-all-integrals-out-there. Not even complex integration! Some integrals, for instance, are so hard, that they have to first be simplified with various different methods before ultimately being delivered into the hands of contour integration and/or the residue theorem.
$endgroup$
– Lucian
Apr 2 '14 at 8:46
2
2
$begingroup$
Link.
$endgroup$
– Lucian
Apr 2 '14 at 7:12
$begingroup$
Link.
$endgroup$
– Lucian
Apr 2 '14 at 7:12
$begingroup$
@lucian I've seen this pdf before, but by looking at it it seems to me that this method can be used in very specific problems only. Then why is it called extremely useful?
$endgroup$
– studen
Apr 2 '14 at 7:46
$begingroup$
@lucian I've seen this pdf before, but by looking at it it seems to me that this method can be used in very specific problems only. Then why is it called extremely useful?
$endgroup$
– studen
Apr 2 '14 at 7:46
$begingroup$
It is only useful in very specific problems. But then again, so is a screwdriver. And I think screwdrivers are very useful.
$endgroup$
– davidlowryduda♦
Apr 2 '14 at 8:08
$begingroup$
It is only useful in very specific problems. But then again, so is a screwdriver. And I think screwdrivers are very useful.
$endgroup$
– davidlowryduda♦
Apr 2 '14 at 8:08
$begingroup$
@mixedmath I see what you did :). But isn't it a false analogy? Could I use successfully use differentiation under integral sign (hopefully reducing the amount of work) in solving integrals which can be expressed in "traditional" functions? Do you use this tool a lot?
$endgroup$
– studen
Apr 2 '14 at 8:18
$begingroup$
@mixedmath I see what you did :). But isn't it a false analogy? Could I use successfully use differentiation under integral sign (hopefully reducing the amount of work) in solving integrals which can be expressed in "traditional" functions? Do you use this tool a lot?
$endgroup$
– studen
Apr 2 '14 at 8:18
$begingroup$
There's no one-size-fits-all-tool-for-solving-all-integrals-out-there. Not even complex integration! Some integrals, for instance, are so hard, that they have to first be simplified with various different methods before ultimately being delivered into the hands of contour integration and/or the residue theorem.
$endgroup$
– Lucian
Apr 2 '14 at 8:46
$begingroup$
There's no one-size-fits-all-tool-for-solving-all-integrals-out-there. Not even complex integration! Some integrals, for instance, are so hard, that they have to first be simplified with various different methods before ultimately being delivered into the hands of contour integration and/or the residue theorem.
$endgroup$
– Lucian
Apr 2 '14 at 8:46
add a comment |
1 Answer
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Advanced Calculus - FREDERICK S. WOODS
Calculus II - Tom M. Apostol
Advanced Calculus- ANGUS E. TAYLOR and W. ROBERT MANN
answered Dec 16 '18 at 13:55
DiamondDiamond
143
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$begingroup$
Advanced Calculus - FREDERICK S. WOODS
Calculus II - Tom M. Apostol
Advanced Calculus- ANGUS E. TAYLOR and W. ROBERT MANN
answered Dec 16 '18 at 13:55
DiamondDiamond
143
$endgroup$
add a comment |
$begingroup$
Advanced Calculus - FREDERICK S. WOODS
Calculus II - Tom M. Apostol
Advanced Calculus- ANGUS E. TAYLOR and W. ROBERT MANN
answered Dec 16 '18 at 13:55
DiamondDiamond
143
$endgroup$
add a comment |
$begingroup$
Advanced Calculus - FREDERICK S. WOODS
Calculus II - Tom M. Apostol
Advanced Calculus- ANGUS E. TAYLOR and W. ROBERT MANN
answered Dec 16 '18 at 13:55
DiamondDiamond
143
$endgroup$
Advanced Calculus - FREDERICK S. WOODS
Calculus II - Tom M. Apostol
Advanced Calculus- ANGUS E. TAYLOR and W. ROBERT MANN
answered Dec 16 '18 at 13:55
DiamondDiamond
143
answered Dec 16 '18 at 13:55
DiamondDiamond
143
answered Dec 16 '18 at 13:55
DiamondDiamond
143
answered Dec 16 '18 at 13:55
DiamondDiamond
143
143
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$begingroup$
Link.
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– Lucian
Apr 2 '14 at 7:12
$begingroup$
@lucian I've seen this pdf before, but by looking at it it seems to me that this method can be used in very specific problems only. Then why is it called extremely useful?
$endgroup$
– studen
Apr 2 '14 at 7:46
$begingroup$
It is only useful in very specific problems. But then again, so is a screwdriver. And I think screwdrivers are very useful.
$endgroup$
– davidlowryduda♦
Apr 2 '14 at 8:08
$begingroup$
@mixedmath I see what you did :). But isn't it a false analogy? Could I use successfully use differentiation under integral sign (hopefully reducing the amount of work) in solving integrals which can be expressed in "traditional" functions? Do you use this tool a lot?
$endgroup$
– studen
Apr 2 '14 at 8:18
$begingroup$
There's no one-size-fits-all-tool-for-solving-all-integrals-out-there. Not even complex integration! Some integrals, for instance, are so hard, that they have to first be simplified with various different methods before ultimately being delivered into the hands of contour integration and/or the residue theorem.
$endgroup$
– Lucian
Apr 2 '14 at 8:46