Mixing
Course recommendation if I Iiked Analysis and Topology
If I have studied Real Analysis, Analysis (with metric spaces) and Topology courses and I really them all,
What would be other courses that I would also really like ? Based on this 3 courses already taken.
In other words
Which theories or courses has the same essence as Real Analysis, Analysis (with metric spaces) and Topology ?
In other words
Is there a mixed field that includes Analysis and topology?
For example what about the variants of Topology? Which are Algebraic Topology, Differential Topology, Geometric Topology.
Will I like them?
Will I like Functional Analysis, Measure Theory, Approximation Theory, other theory, other Analysis ?
Could you please guide ?
real-analysis general-topology analysis soft-question
asked Nov 21 '18 at 19:20
user531631user531631
13
|
show 14 more comments
If I have studied Real Analysis, Analysis (with metric spaces) and Topology courses and I really them all,
What would be other courses that I would also really like ? Based on this 3 courses already taken.
In other words
Which theories or courses has the same essence as Real Analysis, Analysis (with metric spaces) and Topology ?
In other words
Is there a mixed field that includes Analysis and topology?
For example what about the variants of Topology? Which are Algebraic Topology, Differential Topology, Geometric Topology.
Will I like them?
Will I like Functional Analysis, Measure Theory, Approximation Theory, other theory, other Analysis ?
Could you please guide ?
real-analysis general-topology analysis soft-question
asked Nov 21 '18 at 19:20
user531631user531631
13
1
How are we to know what you will like? Analysis is a broad area, and it might happen that you like (or dislike) certain parts of it, but that's a matter of personal preference.
– MisterRiemann
Nov 21 '18 at 19:23
1
Far from having almost nothing to do with the theory that you see in Topology, Algebraic Topology uses practically every technique that you learn in ordinary topology, together with a ton of techniques from abstract algebra (hence the name "algebraic topology"). However, as suggested by @MisterRiemann, this does not make it any less impossible to predict whether you will like algebraic topology.
– Lee Mosher
Nov 21 '18 at 19:28
1
Well now I know for sure that I wouldn't like Algebraic topology, because includes Abstract Algebra
– user531631
Nov 21 '18 at 19:32
4
My guess is functional analysis, but I'm curious why you don't just look at books in a library, course notes posted on the internet, etc. to see what's involved with these fields? Or are you seeking the opinions of other people in order to supplement what you've already learned by doing this?
– Dave L. Renfro
Nov 21 '18 at 19:41
2
Have you studied complex analysis?
– Calum Gilhooley
Nov 21 '18 at 20:55
|
show 14 more comments
If I have studied Real Analysis, Analysis (with metric spaces) and Topology courses and I really them all,
What would be other courses that I would also really like ? Based on this 3 courses already taken.
In other words
Which theories or courses has the same essence as Real Analysis, Analysis (with metric spaces) and Topology ?
In other words
Is there a mixed field that includes Analysis and topology?
For example what about the variants of Topology? Which are Algebraic Topology, Differential Topology, Geometric Topology.
Will I like them?
Will I like Functional Analysis, Measure Theory, Approximation Theory, other theory, other Analysis ?
Could you please guide ?
real-analysis general-topology analysis soft-question
asked Nov 21 '18 at 19:20
user531631user531631
13
If I have studied Real Analysis, Analysis (with metric spaces) and Topology courses and I really them all,
What would be other courses that I would also really like ? Based on this 3 courses already taken.
In other words
Which theories or courses has the same essence as Real Analysis, Analysis (with metric spaces) and Topology ?
In other words
Is there a mixed field that includes Analysis and topology?
For example what about the variants of Topology? Which are Algebraic Topology, Differential Topology, Geometric Topology.
Will I like them?
Will I like Functional Analysis, Measure Theory, Approximation Theory, other theory, other Analysis ?
Could you please guide ?
real-analysis general-topology analysis soft-question
real-analysis general-topology analysis soft-question
asked Nov 21 '18 at 19:20
user531631user531631
13
asked Nov 21 '18 at 19:20
user531631user531631
13
edited Nov 22 '18 at 1:06
user531631
asked Nov 21 '18 at 19:20
user531631user531631
13
asked Nov 21 '18 at 19:20
user531631user531631
13
asked Nov 21 '18 at 19:20
user531631user531631
13
13
1
How are we to know what you will like? Analysis is a broad area, and it might happen that you like (or dislike) certain parts of it, but that's a matter of personal preference.
– MisterRiemann
Nov 21 '18 at 19:23
1
Far from having almost nothing to do with the theory that you see in Topology, Algebraic Topology uses practically every technique that you learn in ordinary topology, together with a ton of techniques from abstract algebra (hence the name "algebraic topology"). However, as suggested by @MisterRiemann, this does not make it any less impossible to predict whether you will like algebraic topology.
– Lee Mosher
Nov 21 '18 at 19:28
1
Well now I know for sure that I wouldn't like Algebraic topology, because includes Abstract Algebra
– user531631
Nov 21 '18 at 19:32
4
My guess is functional analysis, but I'm curious why you don't just look at books in a library, course notes posted on the internet, etc. to see what's involved with these fields? Or are you seeking the opinions of other people in order to supplement what you've already learned by doing this?
– Dave L. Renfro
Nov 21 '18 at 19:41
2
Have you studied complex analysis?
– Calum Gilhooley
Nov 21 '18 at 20:55
|
show 14 more comments
1
How are we to know what you will like? Analysis is a broad area, and it might happen that you like (or dislike) certain parts of it, but that's a matter of personal preference.
– MisterRiemann
Nov 21 '18 at 19:23
1
Far from having almost nothing to do with the theory that you see in Topology, Algebraic Topology uses practically every technique that you learn in ordinary topology, together with a ton of techniques from abstract algebra (hence the name "algebraic topology"). However, as suggested by @MisterRiemann, this does not make it any less impossible to predict whether you will like algebraic topology.
– Lee Mosher
Nov 21 '18 at 19:28
1
Well now I know for sure that I wouldn't like Algebraic topology, because includes Abstract Algebra
– user531631
Nov 21 '18 at 19:32
4
My guess is functional analysis, but I'm curious why you don't just look at books in a library, course notes posted on the internet, etc. to see what's involved with these fields? Or are you seeking the opinions of other people in order to supplement what you've already learned by doing this?
– Dave L. Renfro
Nov 21 '18 at 19:41
2
Have you studied complex analysis?
– Calum Gilhooley
Nov 21 '18 at 20:55
1
1
How are we to know what you will like? Analysis is a broad area, and it might happen that you like (or dislike) certain parts of it, but that's a matter of personal preference.
– MisterRiemann
Nov 21 '18 at 19:23
How are we to know what you will like? Analysis is a broad area, and it might happen that you like (or dislike) certain parts of it, but that's a matter of personal preference.
– MisterRiemann
Nov 21 '18 at 19:23
1
1
Far from having almost nothing to do with the theory that you see in Topology, Algebraic Topology uses practically every technique that you learn in ordinary topology, together with a ton of techniques from abstract algebra (hence the name "algebraic topology"). However, as suggested by @MisterRiemann, this does not make it any less impossible to predict whether you will like algebraic topology.
– Lee Mosher
Nov 21 '18 at 19:28
Far from having almost nothing to do with the theory that you see in Topology, Algebraic Topology uses practically every technique that you learn in ordinary topology, together with a ton of techniques from abstract algebra (hence the name "algebraic topology"). However, as suggested by @MisterRiemann, this does not make it any less impossible to predict whether you will like algebraic topology.
– Lee Mosher
Nov 21 '18 at 19:28
1
1
Well now I know for sure that I wouldn't like Algebraic topology, because includes Abstract Algebra
– user531631
Nov 21 '18 at 19:32
Well now I know for sure that I wouldn't like Algebraic topology, because includes Abstract Algebra
– user531631
Nov 21 '18 at 19:32
4
4
My guess is functional analysis, but I'm curious why you don't just look at books in a library, course notes posted on the internet, etc. to see what's involved with these fields? Or are you seeking the opinions of other people in order to supplement what you've already learned by doing this?
– Dave L. Renfro
Nov 21 '18 at 19:41
My guess is functional analysis, but I'm curious why you don't just look at books in a library, course notes posted on the internet, etc. to see what's involved with these fields? Or are you seeking the opinions of other people in order to supplement what you've already learned by doing this?
– Dave L. Renfro
Nov 21 '18 at 19:41
2
2
Have you studied complex analysis?
– Calum Gilhooley
Nov 21 '18 at 20:55
Have you studied complex analysis?
– Calum Gilhooley
Nov 21 '18 at 20:55
|
show 14 more comments
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3008199%2fcourse-recommendation-if-i-iiked-analysis-and-topology%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3008199%2fcourse-recommendation-if-i-iiked-analysis-and-topology%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
1
How are we to know what you will like? Analysis is a broad area, and it might happen that you like (or dislike) certain parts of it, but that's a matter of personal preference.
– MisterRiemann
Nov 21 '18 at 19:23
1
Far from having almost nothing to do with the theory that you see in Topology, Algebraic Topology uses practically every technique that you learn in ordinary topology, together with a ton of techniques from abstract algebra (hence the name "algebraic topology"). However, as suggested by @MisterRiemann, this does not make it any less impossible to predict whether you will like algebraic topology.
– Lee Mosher
Nov 21 '18 at 19:28
1
Well now I know for sure that I wouldn't like Algebraic topology, because includes Abstract Algebra
– user531631
Nov 21 '18 at 19:32
4
My guess is functional analysis, but I'm curious why you don't just look at books in a library, course notes posted on the internet, etc. to see what's involved with these fields? Or are you seeking the opinions of other people in order to supplement what you've already learned by doing this?
– Dave L. Renfro
Nov 21 '18 at 19:41
2
Have you studied complex analysis?
– Calum Gilhooley
Nov 21 '18 at 20:55