Mixing
Recommended knowledge for Applied Math
0
$begingroup$
I would like to know which topics below are important for applied math and why?
If you know about only one subject, share your answer with me please.
- Topology
- Set Theory
- Linear Algebra
- Abstract Algebra
- Graph Theory
- Geometry
- Calculus
- ODE
- PDE
- Chaos Theory
- Dynamic Systems
applications
asked Jan 25 at 17:40
mbenencasembenencase
1
$endgroup$
add a comment |
0
$begingroup$
I would like to know which topics below are important for applied math and why?
If you know about only one subject, share your answer with me please.
- Topology
- Set Theory
- Linear Algebra
- Abstract Algebra
- Graph Theory
- Geometry
- Calculus
- ODE
- PDE
- Chaos Theory
- Dynamic Systems
applications
asked Jan 25 at 17:40
mbenencasembenencase
1
$endgroup$
$begingroup$
This depends on what kind of applied math you are interested in. Some areas make heavy use of functional analysis, and thus you would need to know a fair amount of general topology, linear algebra, measure theory, and algebra. Other areas are primarily combinatorial and graph-theoretic, and thus little general topology would be needed, but you might need to know a bit of combinatorial topology. Still other areas are different still . . .
$endgroup$
– Dave L. Renfro
Jan 25 at 17:50
$begingroup$
Applied Mathematics is huge. What field specifically?
$endgroup$
– user635162
Jan 25 at 17:50
$begingroup$
About ODE's and PDE's for example
$endgroup$
– mbenencase
Jan 25 at 18:29
$begingroup$
I can go down that entire list and give you reasons that each is HUGHLY important for applied mathematics. PDEs and ODE arise naturally any time you use math to model something where changes in one measurment (for example time), results in changes in another variable (for example, distance travelled). Which is pretty hard to avoid in a mathematical model. Every science comes with a collection of important differential equations.
$endgroup$
– Paul Sinclair
Jan 26 at 3:26
add a comment |
0
0
0
$begingroup$
I would like to know which topics below are important for applied math and why?
If you know about only one subject, share your answer with me please.
- Topology
- Set Theory
- Linear Algebra
- Abstract Algebra
- Graph Theory
- Geometry
- Calculus
- ODE
- PDE
- Chaos Theory
- Dynamic Systems
applications
asked Jan 25 at 17:40
mbenencasembenencase
1
$endgroup$
I would like to know which topics below are important for applied math and why?
If you know about only one subject, share your answer with me please.
- Topology
- Set Theory
- Linear Algebra
- Abstract Algebra
- Graph Theory
- Geometry
- Calculus
- ODE
- PDE
- Chaos Theory
- Dynamic Systems
applications
applications
asked Jan 25 at 17:40
mbenencasembenencase
1
asked Jan 25 at 17:40
mbenencasembenencase
1
asked Jan 25 at 17:40
mbenencasembenencase
1
asked Jan 25 at 17:40
mbenencasembenencase
1
asked Jan 25 at 17:40
mbenencasembenencase
1
1
$begingroup$
This depends on what kind of applied math you are interested in. Some areas make heavy use of functional analysis, and thus you would need to know a fair amount of general topology, linear algebra, measure theory, and algebra. Other areas are primarily combinatorial and graph-theoretic, and thus little general topology would be needed, but you might need to know a bit of combinatorial topology. Still other areas are different still . . .
$endgroup$
– Dave L. Renfro
Jan 25 at 17:50
$begingroup$
Applied Mathematics is huge. What field specifically?
$endgroup$
– user635162
Jan 25 at 17:50
$begingroup$
About ODE's and PDE's for example
$endgroup$
– mbenencase
Jan 25 at 18:29
$begingroup$
I can go down that entire list and give you reasons that each is HUGHLY important for applied mathematics. PDEs and ODE arise naturally any time you use math to model something where changes in one measurment (for example time), results in changes in another variable (for example, distance travelled). Which is pretty hard to avoid in a mathematical model. Every science comes with a collection of important differential equations.
$endgroup$
– Paul Sinclair
Jan 26 at 3:26
add a comment |
$begingroup$
This depends on what kind of applied math you are interested in. Some areas make heavy use of functional analysis, and thus you would need to know a fair amount of general topology, linear algebra, measure theory, and algebra. Other areas are primarily combinatorial and graph-theoretic, and thus little general topology would be needed, but you might need to know a bit of combinatorial topology. Still other areas are different still . . .
$endgroup$
– Dave L. Renfro
Jan 25 at 17:50
$begingroup$
Applied Mathematics is huge. What field specifically?
$endgroup$
– user635162
Jan 25 at 17:50
$begingroup$
About ODE's and PDE's for example
$endgroup$
– mbenencase
Jan 25 at 18:29
$begingroup$
I can go down that entire list and give you reasons that each is HUGHLY important for applied mathematics. PDEs and ODE arise naturally any time you use math to model something where changes in one measurment (for example time), results in changes in another variable (for example, distance travelled). Which is pretty hard to avoid in a mathematical model. Every science comes with a collection of important differential equations.
$endgroup$
– Paul Sinclair
Jan 26 at 3:26
$begingroup$
This depends on what kind of applied math you are interested in. Some areas make heavy use of functional analysis, and thus you would need to know a fair amount of general topology, linear algebra, measure theory, and algebra. Other areas are primarily combinatorial and graph-theoretic, and thus little general topology would be needed, but you might need to know a bit of combinatorial topology. Still other areas are different still . . .
$endgroup$
– Dave L. Renfro
Jan 25 at 17:50
$begingroup$
This depends on what kind of applied math you are interested in. Some areas make heavy use of functional analysis, and thus you would need to know a fair amount of general topology, linear algebra, measure theory, and algebra. Other areas are primarily combinatorial and graph-theoretic, and thus little general topology would be needed, but you might need to know a bit of combinatorial topology. Still other areas are different still . . .
$endgroup$
– Dave L. Renfro
Jan 25 at 17:50
$begingroup$
Applied Mathematics is huge. What field specifically?
$endgroup$
– user635162
Jan 25 at 17:50
$begingroup$
Applied Mathematics is huge. What field specifically?
$endgroup$
– user635162
Jan 25 at 17:50
$begingroup$
About ODE's and PDE's for example
$endgroup$
– mbenencase
Jan 25 at 18:29
$begingroup$
About ODE's and PDE's for example
$endgroup$
– mbenencase
Jan 25 at 18:29
$begingroup$
I can go down that entire list and give you reasons that each is HUGHLY important for applied mathematics. PDEs and ODE arise naturally any time you use math to model something where changes in one measurment (for example time), results in changes in another variable (for example, distance travelled). Which is pretty hard to avoid in a mathematical model. Every science comes with a collection of important differential equations.
$endgroup$
– Paul Sinclair
Jan 26 at 3:26
$begingroup$
I can go down that entire list and give you reasons that each is HUGHLY important for applied mathematics. PDEs and ODE arise naturally any time you use math to model something where changes in one measurment (for example time), results in changes in another variable (for example, distance travelled). Which is pretty hard to avoid in a mathematical model. Every science comes with a collection of important differential equations.
$endgroup$
– Paul Sinclair
Jan 26 at 3:26
add a comment |
0
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$begingroup$
This depends on what kind of applied math you are interested in. Some areas make heavy use of functional analysis, and thus you would need to know a fair amount of general topology, linear algebra, measure theory, and algebra. Other areas are primarily combinatorial and graph-theoretic, and thus little general topology would be needed, but you might need to know a bit of combinatorial topology. Still other areas are different still . . .
$endgroup$
– Dave L. Renfro
Jan 25 at 17:50
$begingroup$
Applied Mathematics is huge. What field specifically?
$endgroup$
– user635162
Jan 25 at 17:50
$begingroup$
About ODE's and PDE's for example
$endgroup$
– mbenencase
Jan 25 at 18:29
$begingroup$
I can go down that entire list and give you reasons that each is HUGHLY important for applied mathematics. PDEs and ODE arise naturally any time you use math to model something where changes in one measurment (for example time), results in changes in another variable (for example, distance travelled). Which is pretty hard to avoid in a mathematical model. Every science comes with a collection of important differential equations.
$endgroup$
– Paul Sinclair
Jan 26 at 3:26