In what subject is the Fourier Transform and Fourier Series introduced?
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Typically, what subject introduces these?
soft-question fourier-analysis fourier-series fourier-transform
asked Jan 23 '17 at 21:27
user409495
61
add a comment |Â
up vote
1
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favorite
Typically, what subject introduces these?
soft-question fourier-analysis fourier-series fourier-transform
asked Jan 23 '17 at 21:27
user409495
61
4
The aptly named "Fourier Analysis" (but also classes on Real Analysis)
– Lorenzo
Jan 23 '17 at 21:29
1
PDE's, signal pricessing, mathematical methods for physicists and engineers, etc.
– Mark Viola
Jan 23 '17 at 21:35
1
Ordinary and Partial Differential Equations (ODEs and PDEs) are usually subjects where Fourier analysis is introduced for a lot of undergraduates. Some study it from the first semester (electronic engineers) and for some its neither. Fourier touches a lot of subjects in physics and engineering, so don't worry, you'll get to it sooner or later.
– Ofek Gillon
Jan 23 '17 at 21:35
1
My personal experience involved a class titled "Lebesgue Measure and Fourier Analysis". It proved to be quite challenging for an undergrad course but also quite rewarding..Outside of strictly Math studies, well engineering has a variety of applications which involve Fourier transforms, such as signal processing..
– MathematicianByMistake
Jan 23 '17 at 21:45
1
To be a bit more specific, it comes as a very natural tool in the analysis of Linear Time Invariant systems(LTI).
– WalterJ
Jan 23 '17 at 21:53
add a comment |Â
up vote
1
down vote
favorite
up vote
1
down vote
favorite
Typically, what subject introduces these?
soft-question fourier-analysis fourier-series fourier-transform
asked Jan 23 '17 at 21:27
user409495
61
Typically, what subject introduces these?
soft-question fourier-analysis fourier-series fourier-transform
asked Jan 23 '17 at 21:27
user409495
61
asked Jan 23 '17 at 21:27
user409495
61
asked Jan 23 '17 at 21:27
user409495
61
asked Jan 23 '17 at 21:27
user409495
61
61
4
The aptly named "Fourier Analysis" (but also classes on Real Analysis)
– Lorenzo
Jan 23 '17 at 21:29
1
PDE's, signal pricessing, mathematical methods for physicists and engineers, etc.
– Mark Viola
Jan 23 '17 at 21:35
1
Ordinary and Partial Differential Equations (ODEs and PDEs) are usually subjects where Fourier analysis is introduced for a lot of undergraduates. Some study it from the first semester (electronic engineers) and for some its neither. Fourier touches a lot of subjects in physics and engineering, so don't worry, you'll get to it sooner or later.
– Ofek Gillon
Jan 23 '17 at 21:35
1
My personal experience involved a class titled "Lebesgue Measure and Fourier Analysis". It proved to be quite challenging for an undergrad course but also quite rewarding..Outside of strictly Math studies, well engineering has a variety of applications which involve Fourier transforms, such as signal processing..
– MathematicianByMistake
Jan 23 '17 at 21:45
1
To be a bit more specific, it comes as a very natural tool in the analysis of Linear Time Invariant systems(LTI).
– WalterJ
Jan 23 '17 at 21:53
add a comment |Â
4
The aptly named "Fourier Analysis" (but also classes on Real Analysis)
– Lorenzo
Jan 23 '17 at 21:29
1
PDE's, signal pricessing, mathematical methods for physicists and engineers, etc.
– Mark Viola
Jan 23 '17 at 21:35
1
Ordinary and Partial Differential Equations (ODEs and PDEs) are usually subjects where Fourier analysis is introduced for a lot of undergraduates. Some study it from the first semester (electronic engineers) and for some its neither. Fourier touches a lot of subjects in physics and engineering, so don't worry, you'll get to it sooner or later.
– Ofek Gillon
Jan 23 '17 at 21:35
1
My personal experience involved a class titled "Lebesgue Measure and Fourier Analysis". It proved to be quite challenging for an undergrad course but also quite rewarding..Outside of strictly Math studies, well engineering has a variety of applications which involve Fourier transforms, such as signal processing..
– MathematicianByMistake
Jan 23 '17 at 21:45
1
To be a bit more specific, it comes as a very natural tool in the analysis of Linear Time Invariant systems(LTI).
– WalterJ
Jan 23 '17 at 21:53
4
4
The aptly named "Fourier Analysis" (but also classes on Real Analysis)
– Lorenzo
Jan 23 '17 at 21:29
The aptly named "Fourier Analysis" (but also classes on Real Analysis)
– Lorenzo
Jan 23 '17 at 21:29
1
1
PDE's, signal pricessing, mathematical methods for physicists and engineers, etc.
– Mark Viola
Jan 23 '17 at 21:35
PDE's, signal pricessing, mathematical methods for physicists and engineers, etc.
– Mark Viola
Jan 23 '17 at 21:35
1
1
Ordinary and Partial Differential Equations (ODEs and PDEs) are usually subjects where Fourier analysis is introduced for a lot of undergraduates. Some study it from the first semester (electronic engineers) and for some its neither. Fourier touches a lot of subjects in physics and engineering, so don't worry, you'll get to it sooner or later.
– Ofek Gillon
Jan 23 '17 at 21:35
Ordinary and Partial Differential Equations (ODEs and PDEs) are usually subjects where Fourier analysis is introduced for a lot of undergraduates. Some study it from the first semester (electronic engineers) and for some its neither. Fourier touches a lot of subjects in physics and engineering, so don't worry, you'll get to it sooner or later.
– Ofek Gillon
Jan 23 '17 at 21:35
1
1
My personal experience involved a class titled "Lebesgue Measure and Fourier Analysis". It proved to be quite challenging for an undergrad course but also quite rewarding..Outside of strictly Math studies, well engineering has a variety of applications which involve Fourier transforms, such as signal processing..
– MathematicianByMistake
Jan 23 '17 at 21:45
My personal experience involved a class titled "Lebesgue Measure and Fourier Analysis". It proved to be quite challenging for an undergrad course but also quite rewarding..Outside of strictly Math studies, well engineering has a variety of applications which involve Fourier transforms, such as signal processing..
– MathematicianByMistake
Jan 23 '17 at 21:45
1
1
To be a bit more specific, it comes as a very natural tool in the analysis of Linear Time Invariant systems(LTI).
– WalterJ
Jan 23 '17 at 21:53
To be a bit more specific, it comes as a very natural tool in the analysis of Linear Time Invariant systems(LTI).
– WalterJ
Jan 23 '17 at 21:53
add a comment |Â
2 Answers
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0
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I took a class called "Systems and Transforms" where we introduced fourier transform and laplace transforms to solve differential equations of the form $y'' +ay' + y =f(t)$. In a class about PDE:s called "continuous systems" we introduced the fourier series and showed for which PDE:s the series was a solution. And now I'm taking a class in fourier analysis.
answered Jan 23 '17 at 21:39
Olba12
1,051615
add a comment |Â
up vote
0
down vote
Also modern number theory makes intense use of Fourier transform, Fourier series, and many other integral/spectral transforms and decompositions. Spherical harmonics, for example. When I teach (graduate) courses on number theory or modular forms or representation theory or... certainly Fourier series and Fourier transforms play a central role.
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
add a comment |Â
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
I took a class called "Systems and Transforms" where we introduced fourier transform and laplace transforms to solve differential equations of the form $y'' +ay' + y =f(t)$. In a class about PDE:s called "continuous systems" we introduced the fourier series and showed for which PDE:s the series was a solution. And now I'm taking a class in fourier analysis.
answered Jan 23 '17 at 21:39
Olba12
1,051615
add a comment |Â
up vote
0
down vote
I took a class called "Systems and Transforms" where we introduced fourier transform and laplace transforms to solve differential equations of the form $y'' +ay' + y =f(t)$. In a class about PDE:s called "continuous systems" we introduced the fourier series and showed for which PDE:s the series was a solution. And now I'm taking a class in fourier analysis.
answered Jan 23 '17 at 21:39
Olba12
1,051615
add a comment |Â
up vote
0
down vote
up vote
0
down vote
I took a class called "Systems and Transforms" where we introduced fourier transform and laplace transforms to solve differential equations of the form $y'' +ay' + y =f(t)$. In a class about PDE:s called "continuous systems" we introduced the fourier series and showed for which PDE:s the series was a solution. And now I'm taking a class in fourier analysis.
answered Jan 23 '17 at 21:39
Olba12
1,051615
I took a class called "Systems and Transforms" where we introduced fourier transform and laplace transforms to solve differential equations of the form $y'' +ay' + y =f(t)$. In a class about PDE:s called "continuous systems" we introduced the fourier series and showed for which PDE:s the series was a solution. And now I'm taking a class in fourier analysis.
answered Jan 23 '17 at 21:39
Olba12
1,051615
answered Jan 23 '17 at 21:39
Olba12
1,051615
answered Jan 23 '17 at 21:39
Olba12
1,051615
answered Jan 23 '17 at 21:39
Olba12
1,051615
1,051615
add a comment |Â
add a comment |Â
up vote
0
down vote
Also modern number theory makes intense use of Fourier transform, Fourier series, and many other integral/spectral transforms and decompositions. Spherical harmonics, for example. When I teach (graduate) courses on number theory or modular forms or representation theory or... certainly Fourier series and Fourier transforms play a central role.
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
add a comment |Â
up vote
0
down vote
Also modern number theory makes intense use of Fourier transform, Fourier series, and many other integral/spectral transforms and decompositions. Spherical harmonics, for example. When I teach (graduate) courses on number theory or modular forms or representation theory or... certainly Fourier series and Fourier transforms play a central role.
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
add a comment |Â
up vote
0
down vote
up vote
0
down vote
Also modern number theory makes intense use of Fourier transform, Fourier series, and many other integral/spectral transforms and decompositions. Spherical harmonics, for example. When I teach (graduate) courses on number theory or modular forms or representation theory or... certainly Fourier series and Fourier transforms play a central role.
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
Also modern number theory makes intense use of Fourier transform, Fourier series, and many other integral/spectral transforms and decompositions. Spherical harmonics, for example. When I teach (graduate) courses on number theory or modular forms or representation theory or... certainly Fourier series and Fourier transforms play a central role.
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
answered Oct 4 '17 at 21:16
paul garrett
30.9k360116
30.9k360116
add a comment |Â
add a comment |Â
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4
The aptly named "Fourier Analysis" (but also classes on Real Analysis)
– Lorenzo
Jan 23 '17 at 21:29
1
PDE's, signal pricessing, mathematical methods for physicists and engineers, etc.
– Mark Viola
Jan 23 '17 at 21:35
1
Ordinary and Partial Differential Equations (ODEs and PDEs) are usually subjects where Fourier analysis is introduced for a lot of undergraduates. Some study it from the first semester (electronic engineers) and for some its neither. Fourier touches a lot of subjects in physics and engineering, so don't worry, you'll get to it sooner or later.
– Ofek Gillon
Jan 23 '17 at 21:35
1
My personal experience involved a class titled "Lebesgue Measure and Fourier Analysis". It proved to be quite challenging for an undergrad course but also quite rewarding..Outside of strictly Math studies, well engineering has a variety of applications which involve Fourier transforms, such as signal processing..
– MathematicianByMistake
Jan 23 '17 at 21:45
1
To be a bit more specific, it comes as a very natural tool in the analysis of Linear Time Invariant systems(LTI).
– WalterJ
Jan 23 '17 at 21:53