Repost from http://terrytao.wordpress.com/advice-on-writing-papers/
There are three rules for writing the novel. Unfortunately, no one knows what they are. (W. Somerset Maugham)
Everyone has to develop their own writing style, based on their own strengths and weaknesses, on the subject matter, on the target audience, and sometimes on the target medium. As such, it is virtually impossible to prescribe rigid rules for writing that encompass all conceivable situations and styles.
Nevertheless, I do have some general advice on these topics:
- Writing a paper
- Use the introduction to “sell” the key points of your paper; the results should be described accurately. One should also invest some effort in bothorganising and motivating the paper, and in particular in selecting good notation and giving appropriate amounts of detail. But one should not over-optimise the paper.
- It is also assists readability if you factor the paper into smaller pieces, for instance by making plenty of lemmas.
- To reduce the time needed to write and organise a paper, I recommendwriting a rapid prototype first.
- For first time authors especially, it is important to try to write professionally, and in one’s own voice. One should take advantage of the English language, and not just rely purely on mathematical symbols.
- The ratio between results and effort in one’s paper should be at a local maximum.
- Submitting a paper
I should point out, of course, that my own writing style is not perfect, and I myself don’t always adhere to the above rules, often to my own detriment. If some of these suggestions seem too unsuitable for your particular paper, use common sense.
Dual to the art of writing a paper well, is the art of reading a paper well. Here is some commentary of mine on this topic:
- On “compilation errors” in mathematical reading, and how to resolve them.
- On the use of implicit mathematical notational conventions to provide contextual clues when reading.
- On key “jumps in difficulty” in a mathematical argument, and how finding and understanding them is often key to understanding the argument as a whole.
- On “local” and “global” errors in mathematical papers, and how to detect them.
Some further advice on mathematical exposition:
- Michèle Audin’s “Conseils aux auteurs de textes mathématiques“
- Henry Cohn’s “Advice for amateur mathematicians on writing and publishing papers“.
- Oded Goldreich’s “How to write a paper“.
- David Goss’ “Some hints on mathematical style“
- Timothy Gowers on “writing examples first!” (see also this followup post)
- Paul Halmos’ “How to write mathematics” (the book also contains similar pieces by Dieudonné, Schiffer, and Steenrod); the article can be found here.
- “Mathematical Writing” – notes from a lecture course by Don Knuth, Tracy Larrabee, and Paul Roberts.
- Dick Lipton on an analogy between paper writing and city planning.
- Ashley Reiter’s “Writing a research paper in mathematics“
- Jean-Pierre Serre’s “How to write mathematics badly“
36 Comments:
Even after trying so hard and almost every style, still, my dissertation head is not pleased with my writing style and keeps asking me to change it time and again. I have now decided to get It Dissertation Help uk online and see now what he has to say.
I want a very peaceful and full of nature environment to write. I have a very big camping tents for 10 persons. I just pick one tent and go out in the woods if ever I feel like I need some time for myself and thinking.
Thanks for sharing this.,
Leanpitch provides crash course in Brain hacks using NLP everyone can use it wisely.
NLP training
NLP crash course
Your site is truly cool and this is an extraordinary moving article and If it's not too much trouble share more like that. Thank You..
Digital Marketing Course in Hyderabad
Wow, happy to see this awesome post. I hope this think help any newbie for their awesome work and by the way thanks for share this awesomeness, i thought this was a pretty interesting read when it comes to this topic. Thank you..
Artificial Intelligence Course
Awesome article. I enjoyed reading your articles. this can be really a good scan for me. wanting forward to reading new articles. maintain the nice work!
Data Science Courses in Bangalore
What an incredible message this is. Truly one of the best posts I have ever seen in my life. Wow, keep it up.
AI Courses in Bangalore
Excellent content ,Thanks for sharing this .,
Leanpitch provides online training in CSPO during this lockdown period everyone can use it wisely.
Join Leanpitch 2 Days CSPO Certification Workshop in different cities.
CSPO certification
CSPO TRAINING
Excellent content ,Thanks for sharing this .,
Leanpitch provides online training in CSPO during this lockdown period everyone can use it wisely.
Join Leanpitch 2 Days CSPO Certification Workshop in different cities.
Product owner certification
CSPO certification online
Excellent content ,Thanks for sharing this .,
Leanpitch provides online training in CSPO during this lockdown period everyone can use it wisely.
Join Leanpitch 2 Days CSPO Certification Workshop in different cities.
Certified scrum product owner
CSPO online certification
Excellent content ,Thanks for sharing this .,
Leanpitch provides online training in CSPO during this lockdown period everyone can use it wisely.
Join Leanpitch 2 Days CSPO Certification Workshop in different cities.
CSPO certification cost
CSPO TRAINING ONLINE
Excellent content ,Thanks for sharing this .,
Leanpitch provides online training in CSPO during this lockdown period everyone can use it wisely.
Join Leanpitch 2 Days CSPO Certification Workshop in different cities.
CSPO ONLINE TRAINING
CSPO ONLINE
Nice Post thank you very much for sharing such a useful information and will definitely saved and revisit your site and i have bookmarked to check out new things frm your post.
Data Science Course
A good blog always contains new and exciting information and as I read it I felt that this blog really has all of these qualities that make a blog.
Data Science Institutes in Bangalore
Thanks for posting this, it was unbelievably informative and helped me a lot. Well-written blog post.
스포츠토토
안전놀이터
토토사이트
I think youve created some actually interesting points. Not also many people would actually think about this the way you just did.
스포츠토토
카지노사이트
파워볼게임
바카라
Superb Information and really appreciated with it and this is fine to read and valuable. I like it.
Digital Marketing Course fees in Hyderabad
I got to this amazing site not long ago. I actually captured with the piece of resources you have got here. Thanks for making such wonderful blog page.
Data Science Course in Ahmedabad
I am here for the first time. I found this blog and found it really useful and it helped me a lot, thank you.
Data Analytics Training in Bangalore
Nice post, you give readers a lot to think about and I appreciate that kind of writing.
Data Science Course Fees
Fairly certain he will have a good read. Thank you for sharing! 카지노사이트존
This is very interesting, You’re a very skilled blogger. 바카라사이트
Excellent blog post. I certainly love this website. Thanks! 토토사이트
Hello Dear, are you really visiting this web site regularly, if so after that you will definitely obtain pleasant experience. 경마사이트
I am always searching online for posts that can aid me. Thanks! 슬롯머신
I learn something totally new and challenging on blogs I stumbleupon every day. It’s always useful to read content from other writers and use a little something from their websites. 카지노사이트탑
This is an informative and knowledgeable article. therefore, I would like to thank you for your effort in writing this article.
Data Scientist Course in Chandigarh
Very informative blog! There is so much information here that can help thank you for sharing.
Data Science Syllabus
There is obviously a lot to know about this. I think you made some good points in Features also. Great job!
Data Science Course in Jalandhar
Thank you so much for this excellent blog article. Your writing style and the way you have presented your content is awesome. Now I am pretty clear on this topic, keep it up! Feel free to visit my website; 바카라사이트
Awesome and entertaining article. I like to write a little comment to support you. I just stumbled upon your blog and wanted to say that I have really enjoyed reading your blog posts. I wanted to see hope in future you will continue to sharing such an excellent post. Feel free to visit my website; 바카라사이트
I must thank you for the efforts you’ve put in writing this blog. I am hoping to view the same high-grade blog posts from you later on as well. In fact, your creative writing abilities has inspired me to get my very own blog now ?? Thank you for the auspicious writeup Feel free to visit my website; 바카라사이트
Great Post, I was looking for this kind of information, Keep posting. Thanks for sharing.
Data Science Courses in Bangalore
Really nice and amazing post. I was looking for this kind of information, Keep posting. Thanks for sharing.
Data Science Courses in Bangalore
A very detailed information and good writing knowledge share by you in this blog. I apricate that. Thanks for sharing this blog. Now it's time to avail 1 litre water bottle for more information.
Thanks for sharing beautiful content. I got information from your blog. keep sharing
Indian Divorce Lawyer NJ
Post a Comment