Any textbooks on applications of topology to natural and social sciences?
Here is a Mathematics Stack Exchange post on applications of topology.
Now my question is, are there any easy-to-read textbooks that discuss (rather thoroughly) applications of elementary topology to other branches of mathematics, computer science, statistics, natural sciences (e.g. physics, chemistry, biology, etc.), and social sciences (e.g. economics, political science, etc.), or the different fields of engineering?
And, are there any easy-to-read articles on where topology could be handy or altogether indispensable?
I've observed that, here on Mathematics Stack Exchange, there are some people specialising in computer science or economics who ask and answer questions on topology.
I find topology to be replete with results of great intellectual value, and I know that it is topological concepts (e.g. continuity, connectedness, and compactness) that underlie much of the real analysis, which in turn provides foundations for calculus and many other branches of mathematics.
general-topology reference-request book-recommendation applications
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
add a comment |
Here is a Mathematics Stack Exchange post on applications of topology.
Now my question is, are there any easy-to-read textbooks that discuss (rather thoroughly) applications of elementary topology to other branches of mathematics, computer science, statistics, natural sciences (e.g. physics, chemistry, biology, etc.), and social sciences (e.g. economics, political science, etc.), or the different fields of engineering?
And, are there any easy-to-read articles on where topology could be handy or altogether indispensable?
I've observed that, here on Mathematics Stack Exchange, there are some people specialising in computer science or economics who ask and answer questions on topology.
I find topology to be replete with results of great intellectual value, and I know that it is topological concepts (e.g. continuity, connectedness, and compactness) that underlie much of the real analysis, which in turn provides foundations for calculus and many other branches of mathematics.
general-topology reference-request book-recommendation applications
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
As for economics, the proof of existence of the Nash equilibrium uses the Brower fixed point theorem. But i dont know about easy-to-read articles or books about this topic.
– supinf
Dec 4 '18 at 16:46
Here is another interesting post: math.stackexchange.com/q/2922622
– Paul Frost
Dec 4 '18 at 23:26
See this (applications to chemistry, computing, molecular biology) and this (supposed applications to psychology).
– Dave L. Renfro
Dec 7 '18 at 16:35
add a comment |
Here is a Mathematics Stack Exchange post on applications of topology.
Now my question is, are there any easy-to-read textbooks that discuss (rather thoroughly) applications of elementary topology to other branches of mathematics, computer science, statistics, natural sciences (e.g. physics, chemistry, biology, etc.), and social sciences (e.g. economics, political science, etc.), or the different fields of engineering?
And, are there any easy-to-read articles on where topology could be handy or altogether indispensable?
I've observed that, here on Mathematics Stack Exchange, there are some people specialising in computer science or economics who ask and answer questions on topology.
I find topology to be replete with results of great intellectual value, and I know that it is topological concepts (e.g. continuity, connectedness, and compactness) that underlie much of the real analysis, which in turn provides foundations for calculus and many other branches of mathematics.
general-topology reference-request book-recommendation applications
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
Here is a Mathematics Stack Exchange post on applications of topology.
Now my question is, are there any easy-to-read textbooks that discuss (rather thoroughly) applications of elementary topology to other branches of mathematics, computer science, statistics, natural sciences (e.g. physics, chemistry, biology, etc.), and social sciences (e.g. economics, political science, etc.), or the different fields of engineering?
And, are there any easy-to-read articles on where topology could be handy or altogether indispensable?
I've observed that, here on Mathematics Stack Exchange, there are some people specialising in computer science or economics who ask and answer questions on topology.
I find topology to be replete with results of great intellectual value, and I know that it is topological concepts (e.g. continuity, connectedness, and compactness) that underlie much of the real analysis, which in turn provides foundations for calculus and many other branches of mathematics.
general-topology reference-request book-recommendation applications
general-topology reference-request book-recommendation applications
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
asked Dec 4 '18 at 16:20
Saaqib Mahmood
7,68742376
7,68742376
As for economics, the proof of existence of the Nash equilibrium uses the Brower fixed point theorem. But i dont know about easy-to-read articles or books about this topic.
– supinf
Dec 4 '18 at 16:46
Here is another interesting post: math.stackexchange.com/q/2922622
– Paul Frost
Dec 4 '18 at 23:26
See this (applications to chemistry, computing, molecular biology) and this (supposed applications to psychology).
– Dave L. Renfro
Dec 7 '18 at 16:35
add a comment |
As for economics, the proof of existence of the Nash equilibrium uses the Brower fixed point theorem. But i dont know about easy-to-read articles or books about this topic.
– supinf
Dec 4 '18 at 16:46
Here is another interesting post: math.stackexchange.com/q/2922622
– Paul Frost
Dec 4 '18 at 23:26
See this (applications to chemistry, computing, molecular biology) and this (supposed applications to psychology).
– Dave L. Renfro
Dec 7 '18 at 16:35
As for economics, the proof of existence of the Nash equilibrium uses the Brower fixed point theorem. But i dont know about easy-to-read articles or books about this topic.
– supinf
Dec 4 '18 at 16:46
As for economics, the proof of existence of the Nash equilibrium uses the Brower fixed point theorem. But i dont know about easy-to-read articles or books about this topic.
– supinf
Dec 4 '18 at 16:46
Here is another interesting post: math.stackexchange.com/q/2922622
– Paul Frost
Dec 4 '18 at 23:26
Here is another interesting post: math.stackexchange.com/q/2922622
– Paul Frost
Dec 4 '18 at 23:26
See this (applications to chemistry, computing, molecular biology) and this (supposed applications to psychology).
– Dave L. Renfro
Dec 7 '18 at 16:35
See this (applications to chemistry, computing, molecular biology) and this (supposed applications to psychology).
– Dave L. Renfro
Dec 7 '18 at 16:35
add a comment |
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As for economics, the proof of existence of the Nash equilibrium uses the Brower fixed point theorem. But i dont know about easy-to-read articles or books about this topic.
– supinf
Dec 4 '18 at 16:46
Here is another interesting post: math.stackexchange.com/q/2922622
– Paul Frost
Dec 4 '18 at 23:26
See this (applications to chemistry, computing, molecular biology) and this (supposed applications to psychology).
– Dave L. Renfro
Dec 7 '18 at 16:35