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Examples of well-written scientific papers in mathematics [closed]
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I am looking for examples of papers, which are (according to you) an example of good mathematical writing, while I would be interested in some sort of justification what makes you believe so.
For instance, I tend to believe that writing short sentences in words rather than symbols appears to be more beautiful to me. However find the right balance on this is difficult because it can be annoying some times.
On the other hand, I have seen papers from great mathematicians which don't seem to adapt this sort of idea in writing. I understand that we tend to overanalyze things that have been struggling us for awhile and sweep under the rug others, that probably are more serious for our convention but we believe that are obvious.
To finish this off, I am not looking for justification like "The font size is beautiful", or "I like his/her style because is my mathematical-idol and I like the mathematics they do". Apparently the paper you will post would have some relation with mathematics you like, and the font is not so important (for me). I would like to see justification regarding the writing and only this. Of course welcome is every book or online handout that has to do with mathematical writing at this level and you think is useful.
Thank you!
proof-writing soft-question article-writing
closed as too broad by Derek Elkins, amWhy, Henning Makholm, Steven Stadnicki, Travis Jul 15 at 2:47
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
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show 9 more comments
up vote
8
down vote
favorite
I am looking for examples of papers, which are (according to you) an example of good mathematical writing, while I would be interested in some sort of justification what makes you believe so.
For instance, I tend to believe that writing short sentences in words rather than symbols appears to be more beautiful to me. However find the right balance on this is difficult because it can be annoying some times.
On the other hand, I have seen papers from great mathematicians which don't seem to adapt this sort of idea in writing. I understand that we tend to overanalyze things that have been struggling us for awhile and sweep under the rug others, that probably are more serious for our convention but we believe that are obvious.
To finish this off, I am not looking for justification like "The font size is beautiful", or "I like his/her style because is my mathematical-idol and I like the mathematics they do". Apparently the paper you will post would have some relation with mathematics you like, and the font is not so important (for me). I would like to see justification regarding the writing and only this. Of course welcome is every book or online handout that has to do with mathematical writing at this level and you think is useful.
Thank you!
proof-writing soft-question article-writing
closed as too broad by Derek Elkins, amWhy, Henning Makholm, Steven Stadnicki, Travis Jul 15 at 2:47
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
1
"Of course the question has not just one answer and definitely each individual has their own way to write out things." By definition, your description of your question is pretty much the MSE description of a question that is too broad. Any answer also would be primarily-opinion based, as would any voting on or acceptance of, any one answer.
– amWhy
Jul 15 at 1:02
2
Paul Halmos's essay on writing mathematics is a classic. I don't agree with everything he says, but a lot of it is very useful to think about. See mathtourist.blogspot.com/2010/07/…
– Cheerful Parsnip
Jul 15 at 1:39
5
@amWhy. But one suspects that the question will be answered and enjoyed by the community. Perhaps MSE isn't doing a great job describing what questions it enjoys. The de jure law is that we don't like broad questions. The de facto law is that we only enforce the de jure law when we don't like a question that is broad.
– Mason
Jul 15 at 1:55
2
Thank you for comments all! @amWhy the reason I wrote out this paragraph, is exactly to avoid having this sort of feedback. I thought that despite my title, reading my question would be understood that am seeking for examples of well-written papers along with the personal opinion of those who want to share some of their tips. Clearly this is primarily-opinion based answer. And frankly although it is not the write place to discuss this, I DON'T know why this is frowned upon on this site. I can find out of the $sim$10^6 questions many thousands of non-hold questions with opinion-based answers.
– user321268
Jul 15 at 8:52
2
Hope this question survives, looking forward to hopefully some answers, cannot of anywhere else on the internet (with as qualified a readership) one could even think of asking such a thing, seems sometimes that rigidity in letting something stay on the site is prioritised too stringently over the benefit that the answer population provides, even if the question does not pass all of the tests on a binary basis.Have a lot of sympathy with @Mason 's comment. Pbbly an unpopular opinion and will be chastised, but still, thanks for asking, hopefully can read some of the suggestions that come!
– Mehness
Jul 15 at 9:49
 |Â
show 9 more comments
up vote
8
down vote
favorite
up vote
8
down vote
favorite
I am looking for examples of papers, which are (according to you) an example of good mathematical writing, while I would be interested in some sort of justification what makes you believe so.
For instance, I tend to believe that writing short sentences in words rather than symbols appears to be more beautiful to me. However find the right balance on this is difficult because it can be annoying some times.
On the other hand, I have seen papers from great mathematicians which don't seem to adapt this sort of idea in writing. I understand that we tend to overanalyze things that have been struggling us for awhile and sweep under the rug others, that probably are more serious for our convention but we believe that are obvious.
To finish this off, I am not looking for justification like "The font size is beautiful", or "I like his/her style because is my mathematical-idol and I like the mathematics they do". Apparently the paper you will post would have some relation with mathematics you like, and the font is not so important (for me). I would like to see justification regarding the writing and only this. Of course welcome is every book or online handout that has to do with mathematical writing at this level and you think is useful.
Thank you!
proof-writing soft-question article-writing
I am looking for examples of papers, which are (according to you) an example of good mathematical writing, while I would be interested in some sort of justification what makes you believe so.
For instance, I tend to believe that writing short sentences in words rather than symbols appears to be more beautiful to me. However find the right balance on this is difficult because it can be annoying some times.
On the other hand, I have seen papers from great mathematicians which don't seem to adapt this sort of idea in writing. I understand that we tend to overanalyze things that have been struggling us for awhile and sweep under the rug others, that probably are more serious for our convention but we believe that are obvious.
To finish this off, I am not looking for justification like "The font size is beautiful", or "I like his/her style because is my mathematical-idol and I like the mathematics they do". Apparently the paper you will post would have some relation with mathematics you like, and the font is not so important (for me). I would like to see justification regarding the writing and only this. Of course welcome is every book or online handout that has to do with mathematical writing at this level and you think is useful.
Thank you!
proof-writing soft-question article-writing
edited Jul 15 at 9:12
asked Jul 15 at 0:17
user321268
closed as too broad by Derek Elkins, amWhy, Henning Makholm, Steven Stadnicki, Travis Jul 15 at 2:47
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
closed as too broad by Derek Elkins, amWhy, Henning Makholm, Steven Stadnicki, Travis Jul 15 at 2:47
Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.
1
"Of course the question has not just one answer and definitely each individual has their own way to write out things." By definition, your description of your question is pretty much the MSE description of a question that is too broad. Any answer also would be primarily-opinion based, as would any voting on or acceptance of, any one answer.
– amWhy
Jul 15 at 1:02
2
Paul Halmos's essay on writing mathematics is a classic. I don't agree with everything he says, but a lot of it is very useful to think about. See mathtourist.blogspot.com/2010/07/…
– Cheerful Parsnip
Jul 15 at 1:39
5
@amWhy. But one suspects that the question will be answered and enjoyed by the community. Perhaps MSE isn't doing a great job describing what questions it enjoys. The de jure law is that we don't like broad questions. The de facto law is that we only enforce the de jure law when we don't like a question that is broad.
– Mason
Jul 15 at 1:55
2
Thank you for comments all! @amWhy the reason I wrote out this paragraph, is exactly to avoid having this sort of feedback. I thought that despite my title, reading my question would be understood that am seeking for examples of well-written papers along with the personal opinion of those who want to share some of their tips. Clearly this is primarily-opinion based answer. And frankly although it is not the write place to discuss this, I DON'T know why this is frowned upon on this site. I can find out of the $sim$10^6 questions many thousands of non-hold questions with opinion-based answers.
– user321268
Jul 15 at 8:52
2
Hope this question survives, looking forward to hopefully some answers, cannot of anywhere else on the internet (with as qualified a readership) one could even think of asking such a thing, seems sometimes that rigidity in letting something stay on the site is prioritised too stringently over the benefit that the answer population provides, even if the question does not pass all of the tests on a binary basis.Have a lot of sympathy with @Mason 's comment. Pbbly an unpopular opinion and will be chastised, but still, thanks for asking, hopefully can read some of the suggestions that come!
– Mehness
Jul 15 at 9:49
 |Â
show 9 more comments
1
"Of course the question has not just one answer and definitely each individual has their own way to write out things." By definition, your description of your question is pretty much the MSE description of a question that is too broad. Any answer also would be primarily-opinion based, as would any voting on or acceptance of, any one answer.
– amWhy
Jul 15 at 1:02
2
Paul Halmos's essay on writing mathematics is a classic. I don't agree with everything he says, but a lot of it is very useful to think about. See mathtourist.blogspot.com/2010/07/…
– Cheerful Parsnip
Jul 15 at 1:39
5
@amWhy. But one suspects that the question will be answered and enjoyed by the community. Perhaps MSE isn't doing a great job describing what questions it enjoys. The de jure law is that we don't like broad questions. The de facto law is that we only enforce the de jure law when we don't like a question that is broad.
– Mason
Jul 15 at 1:55
2
Thank you for comments all! @amWhy the reason I wrote out this paragraph, is exactly to avoid having this sort of feedback. I thought that despite my title, reading my question would be understood that am seeking for examples of well-written papers along with the personal opinion of those who want to share some of their tips. Clearly this is primarily-opinion based answer. And frankly although it is not the write place to discuss this, I DON'T know why this is frowned upon on this site. I can find out of the $sim$10^6 questions many thousands of non-hold questions with opinion-based answers.
– user321268
Jul 15 at 8:52
2
Hope this question survives, looking forward to hopefully some answers, cannot of anywhere else on the internet (with as qualified a readership) one could even think of asking such a thing, seems sometimes that rigidity in letting something stay on the site is prioritised too stringently over the benefit that the answer population provides, even if the question does not pass all of the tests on a binary basis.Have a lot of sympathy with @Mason 's comment. Pbbly an unpopular opinion and will be chastised, but still, thanks for asking, hopefully can read some of the suggestions that come!
– Mehness
Jul 15 at 9:49
1
1
"Of course the question has not just one answer and definitely each individual has their own way to write out things." By definition, your description of your question is pretty much the MSE description of a question that is too broad. Any answer also would be primarily-opinion based, as would any voting on or acceptance of, any one answer.
– amWhy
Jul 15 at 1:02
"Of course the question has not just one answer and definitely each individual has their own way to write out things." By definition, your description of your question is pretty much the MSE description of a question that is too broad. Any answer also would be primarily-opinion based, as would any voting on or acceptance of, any one answer.
– amWhy
Jul 15 at 1:02
2
2
Paul Halmos's essay on writing mathematics is a classic. I don't agree with everything he says, but a lot of it is very useful to think about. See mathtourist.blogspot.com/2010/07/…
– Cheerful Parsnip
Jul 15 at 1:39
Paul Halmos's essay on writing mathematics is a classic. I don't agree with everything he says, but a lot of it is very useful to think about. See mathtourist.blogspot.com/2010/07/…
– Cheerful Parsnip
Jul 15 at 1:39
5
5
@amWhy. But one suspects that the question will be answered and enjoyed by the community. Perhaps MSE isn't doing a great job describing what questions it enjoys. The de jure law is that we don't like broad questions. The de facto law is that we only enforce the de jure law when we don't like a question that is broad.
– Mason
Jul 15 at 1:55
@amWhy. But one suspects that the question will be answered and enjoyed by the community. Perhaps MSE isn't doing a great job describing what questions it enjoys. The de jure law is that we don't like broad questions. The de facto law is that we only enforce the de jure law when we don't like a question that is broad.
– Mason
Jul 15 at 1:55
2
2
Thank you for comments all! @amWhy the reason I wrote out this paragraph, is exactly to avoid having this sort of feedback. I thought that despite my title, reading my question would be understood that am seeking for examples of well-written papers along with the personal opinion of those who want to share some of their tips. Clearly this is primarily-opinion based answer. And frankly although it is not the write place to discuss this, I DON'T know why this is frowned upon on this site. I can find out of the $sim$10^6 questions many thousands of non-hold questions with opinion-based answers.
– user321268
Jul 15 at 8:52
Thank you for comments all! @amWhy the reason I wrote out this paragraph, is exactly to avoid having this sort of feedback. I thought that despite my title, reading my question would be understood that am seeking for examples of well-written papers along with the personal opinion of those who want to share some of their tips. Clearly this is primarily-opinion based answer. And frankly although it is not the write place to discuss this, I DON'T know why this is frowned upon on this site. I can find out of the $sim$10^6 questions many thousands of non-hold questions with opinion-based answers.
– user321268
Jul 15 at 8:52
2
2
Hope this question survives, looking forward to hopefully some answers, cannot of anywhere else on the internet (with as qualified a readership) one could even think of asking such a thing, seems sometimes that rigidity in letting something stay on the site is prioritised too stringently over the benefit that the answer population provides, even if the question does not pass all of the tests on a binary basis.Have a lot of sympathy with @Mason 's comment. Pbbly an unpopular opinion and will be chastised, but still, thanks for asking, hopefully can read some of the suggestions that come!
– Mehness
Jul 15 at 9:49
Hope this question survives, looking forward to hopefully some answers, cannot of anywhere else on the internet (with as qualified a readership) one could even think of asking such a thing, seems sometimes that rigidity in letting something stay on the site is prioritised too stringently over the benefit that the answer population provides, even if the question does not pass all of the tests on a binary basis.Have a lot of sympathy with @Mason 's comment. Pbbly an unpopular opinion and will be chastised, but still, thanks for asking, hopefully can read some of the suggestions that come!
– Mehness
Jul 15 at 9:49
 |Â
show 9 more comments
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1
"Of course the question has not just one answer and definitely each individual has their own way to write out things." By definition, your description of your question is pretty much the MSE description of a question that is too broad. Any answer also would be primarily-opinion based, as would any voting on or acceptance of, any one answer.
– amWhy
Jul 15 at 1:02
2
Paul Halmos's essay on writing mathematics is a classic. I don't agree with everything he says, but a lot of it is very useful to think about. See mathtourist.blogspot.com/2010/07/…
– Cheerful Parsnip
Jul 15 at 1:39
5
@amWhy. But one suspects that the question will be answered and enjoyed by the community. Perhaps MSE isn't doing a great job describing what questions it enjoys. The de jure law is that we don't like broad questions. The de facto law is that we only enforce the de jure law when we don't like a question that is broad.
– Mason
Jul 15 at 1:55
2
Thank you for comments all! @amWhy the reason I wrote out this paragraph, is exactly to avoid having this sort of feedback. I thought that despite my title, reading my question would be understood that am seeking for examples of well-written papers along with the personal opinion of those who want to share some of their tips. Clearly this is primarily-opinion based answer. And frankly although it is not the write place to discuss this, I DON'T know why this is frowned upon on this site. I can find out of the $sim$10^6 questions many thousands of non-hold questions with opinion-based answers.
– user321268
Jul 15 at 8:52
2
Hope this question survives, looking forward to hopefully some answers, cannot of anywhere else on the internet (with as qualified a readership) one could even think of asking such a thing, seems sometimes that rigidity in letting something stay on the site is prioritised too stringently over the benefit that the answer population provides, even if the question does not pass all of the tests on a binary basis.Have a lot of sympathy with @Mason 's comment. Pbbly an unpopular opinion and will be chastised, but still, thanks for asking, hopefully can read some of the suggestions that come!
– Mehness
Jul 15 at 9:49