How can I use knowledge of group theory to understand these symmetries in proofs and programs?
I have for some months been interested in group theory. I was very fascinated by the level of abstraction I first met when working with groups. Another aspect that has fascinated me lately is symmetry.
I've noticed symmetry in proofs I've written, programs I've made, and often these symmetries strike me as extremely basic but still fundamental.
My question is concerning this "simple symmetry" (for example, the symmetry of electric charge, symmetry in undirected graphs and often symmetry popping up in simple programs that I write).
How can I use knowledge of group theory to better understand these kinds of symmetries? How should I think of them?
Also - I am currently reading some introduction to group theory, but I have to admit that I am not at all as motivated as I used to be. How can I keep up my motivation in studying group theory?
I hope my questions are clear, as you have noticed, I am not experienced in this field nor in mathematics generally, at least not yet.
group-theory soft-question symmetry proof-theory programming
edited Nov 28 '18 at 22:42
Shaun
8,820113681
asked Mar 25 '15 at 21:40
user2477911user2477911
111
add a comment |
I have for some months been interested in group theory. I was very fascinated by the level of abstraction I first met when working with groups. Another aspect that has fascinated me lately is symmetry.
I've noticed symmetry in proofs I've written, programs I've made, and often these symmetries strike me as extremely basic but still fundamental.
My question is concerning this "simple symmetry" (for example, the symmetry of electric charge, symmetry in undirected graphs and often symmetry popping up in simple programs that I write).
How can I use knowledge of group theory to better understand these kinds of symmetries? How should I think of them?
Also - I am currently reading some introduction to group theory, but I have to admit that I am not at all as motivated as I used to be. How can I keep up my motivation in studying group theory?
I hope my questions are clear, as you have noticed, I am not experienced in this field nor in mathematics generally, at least not yet.
group-theory soft-question symmetry proof-theory programming
edited Nov 28 '18 at 22:42
Shaun
8,820113681
asked Mar 25 '15 at 21:40
user2477911user2477911
111
You might want to take a look at Visual Group Theory. It tries to approach group theory through symmetry, and succeeds up to a point.
– rogerl
Mar 25 '15 at 22:21
add a comment |
I have for some months been interested in group theory. I was very fascinated by the level of abstraction I first met when working with groups. Another aspect that has fascinated me lately is symmetry.
I've noticed symmetry in proofs I've written, programs I've made, and often these symmetries strike me as extremely basic but still fundamental.
My question is concerning this "simple symmetry" (for example, the symmetry of electric charge, symmetry in undirected graphs and often symmetry popping up in simple programs that I write).
How can I use knowledge of group theory to better understand these kinds of symmetries? How should I think of them?
Also - I am currently reading some introduction to group theory, but I have to admit that I am not at all as motivated as I used to be. How can I keep up my motivation in studying group theory?
I hope my questions are clear, as you have noticed, I am not experienced in this field nor in mathematics generally, at least not yet.
group-theory soft-question symmetry proof-theory programming
edited Nov 28 '18 at 22:42
Shaun
8,820113681
asked Mar 25 '15 at 21:40
user2477911user2477911
111
I have for some months been interested in group theory. I was very fascinated by the level of abstraction I first met when working with groups. Another aspect that has fascinated me lately is symmetry.
I've noticed symmetry in proofs I've written, programs I've made, and often these symmetries strike me as extremely basic but still fundamental.
My question is concerning this "simple symmetry" (for example, the symmetry of electric charge, symmetry in undirected graphs and often symmetry popping up in simple programs that I write).
How can I use knowledge of group theory to better understand these kinds of symmetries? How should I think of them?
Also - I am currently reading some introduction to group theory, but I have to admit that I am not at all as motivated as I used to be. How can I keep up my motivation in studying group theory?
I hope my questions are clear, as you have noticed, I am not experienced in this field nor in mathematics generally, at least not yet.
group-theory soft-question symmetry proof-theory programming
group-theory soft-question symmetry proof-theory programming
edited Nov 28 '18 at 22:42
Shaun
8,820113681
asked Mar 25 '15 at 21:40
user2477911user2477911
111
edited Nov 28 '18 at 22:42
Shaun
8,820113681
asked Mar 25 '15 at 21:40
user2477911user2477911
111
edited Nov 28 '18 at 22:42
Shaun
8,820113681
edited Nov 28 '18 at 22:42
Shaun
8,820113681
edited Nov 28 '18 at 22:42
Shaun
8,820113681
8,820113681
asked Mar 25 '15 at 21:40
user2477911user2477911
111
asked Mar 25 '15 at 21:40
user2477911user2477911
111
asked Mar 25 '15 at 21:40
user2477911user2477911
111
111
You might want to take a look at Visual Group Theory. It tries to approach group theory through symmetry, and succeeds up to a point.
– rogerl
Mar 25 '15 at 22:21
add a comment |
You might want to take a look at Visual Group Theory. It tries to approach group theory through symmetry, and succeeds up to a point.
– rogerl
Mar 25 '15 at 22:21
You might want to take a look at Visual Group Theory. It tries to approach group theory through symmetry, and succeeds up to a point.
– rogerl
Mar 25 '15 at 22:21
You might want to take a look at Visual Group Theory. It tries to approach group theory through symmetry, and succeeds up to a point.
– rogerl
Mar 25 '15 at 22:21
add a comment |
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You might want to take a look at Visual Group Theory. It tries to approach group theory through symmetry, and succeeds up to a point.
– rogerl
Mar 25 '15 at 22:21