What is a good reference for learning/improving proof writing?

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I study in the field of theoretical computer science in which i try to find new methods or improve old methods based on mathematical principles.
So, often when i try to publish the work i need to write theorems/lemmas and also their proofs in a proper mathematical way!



Therefore, i'm looking for a good reference/guide to improve my proof writing skills. I googled it, but there are a lot of resources and not sure which ones are best to try.







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    Some refs: Joseph Rotman, Journey into Mathematics : An Introduction to Proofs, Dover (1998) and Antonella Cupillari, The Nuts and Bolts of Proofs, Elsevier (4th ed).
    – Mauro ALLEGRANZA
    Jul 31 at 9:05






  • 1




    The book How To Prove It by Daniel Velleman helped me great deal.
    – Bill Wallis
    Jul 31 at 9:35







  • 1




    The paper The notational conventions I adopted, and why by Edsger W. Dijkstra has been helpful for me.
    – Marnix Klooster
    Jul 31 at 11:49






  • 1




    "Mathematical Writing" by Knuth, Larrabee and Roberts contains notes from a course on mathematical writing taught at Stanford. The link below is for a pdf copy, or you can buy a hard copy from Amazon. jmlr.csail.mit.edu/reviewing-papers/…
    – awkward
    Jul 31 at 12:15






  • 1




    @Bob: See: math.stackexchange.com/questions/190981/…, math.stackexchange.com/questions/289131/…
    – Moo
    Jul 31 at 12:39














up vote
0
down vote

favorite
2












I study in the field of theoretical computer science in which i try to find new methods or improve old methods based on mathematical principles.
So, often when i try to publish the work i need to write theorems/lemmas and also their proofs in a proper mathematical way!



Therefore, i'm looking for a good reference/guide to improve my proof writing skills. I googled it, but there are a lot of resources and not sure which ones are best to try.







share|cite|improve this question















  • 1




    Some refs: Joseph Rotman, Journey into Mathematics : An Introduction to Proofs, Dover (1998) and Antonella Cupillari, The Nuts and Bolts of Proofs, Elsevier (4th ed).
    – Mauro ALLEGRANZA
    Jul 31 at 9:05






  • 1




    The book How To Prove It by Daniel Velleman helped me great deal.
    – Bill Wallis
    Jul 31 at 9:35







  • 1




    The paper The notational conventions I adopted, and why by Edsger W. Dijkstra has been helpful for me.
    – Marnix Klooster
    Jul 31 at 11:49






  • 1




    "Mathematical Writing" by Knuth, Larrabee and Roberts contains notes from a course on mathematical writing taught at Stanford. The link below is for a pdf copy, or you can buy a hard copy from Amazon. jmlr.csail.mit.edu/reviewing-papers/…
    – awkward
    Jul 31 at 12:15






  • 1




    @Bob: See: math.stackexchange.com/questions/190981/…, math.stackexchange.com/questions/289131/…
    – Moo
    Jul 31 at 12:39












up vote
0
down vote

favorite
2









up vote
0
down vote

favorite
2






2





I study in the field of theoretical computer science in which i try to find new methods or improve old methods based on mathematical principles.
So, often when i try to publish the work i need to write theorems/lemmas and also their proofs in a proper mathematical way!



Therefore, i'm looking for a good reference/guide to improve my proof writing skills. I googled it, but there are a lot of resources and not sure which ones are best to try.







share|cite|improve this question











I study in the field of theoretical computer science in which i try to find new methods or improve old methods based on mathematical principles.
So, often when i try to publish the work i need to write theorems/lemmas and also their proofs in a proper mathematical way!



Therefore, i'm looking for a good reference/guide to improve my proof writing skills. I googled it, but there are a lot of resources and not sure which ones are best to try.









share|cite|improve this question










share|cite|improve this question




share|cite|improve this question









asked Jul 31 at 8:54









Bob

28619




28619







  • 1




    Some refs: Joseph Rotman, Journey into Mathematics : An Introduction to Proofs, Dover (1998) and Antonella Cupillari, The Nuts and Bolts of Proofs, Elsevier (4th ed).
    – Mauro ALLEGRANZA
    Jul 31 at 9:05






  • 1




    The book How To Prove It by Daniel Velleman helped me great deal.
    – Bill Wallis
    Jul 31 at 9:35







  • 1




    The paper The notational conventions I adopted, and why by Edsger W. Dijkstra has been helpful for me.
    – Marnix Klooster
    Jul 31 at 11:49






  • 1




    "Mathematical Writing" by Knuth, Larrabee and Roberts contains notes from a course on mathematical writing taught at Stanford. The link below is for a pdf copy, or you can buy a hard copy from Amazon. jmlr.csail.mit.edu/reviewing-papers/…
    – awkward
    Jul 31 at 12:15






  • 1




    @Bob: See: math.stackexchange.com/questions/190981/…, math.stackexchange.com/questions/289131/…
    – Moo
    Jul 31 at 12:39












  • 1




    Some refs: Joseph Rotman, Journey into Mathematics : An Introduction to Proofs, Dover (1998) and Antonella Cupillari, The Nuts and Bolts of Proofs, Elsevier (4th ed).
    – Mauro ALLEGRANZA
    Jul 31 at 9:05






  • 1




    The book How To Prove It by Daniel Velleman helped me great deal.
    – Bill Wallis
    Jul 31 at 9:35







  • 1




    The paper The notational conventions I adopted, and why by Edsger W. Dijkstra has been helpful for me.
    – Marnix Klooster
    Jul 31 at 11:49






  • 1




    "Mathematical Writing" by Knuth, Larrabee and Roberts contains notes from a course on mathematical writing taught at Stanford. The link below is for a pdf copy, or you can buy a hard copy from Amazon. jmlr.csail.mit.edu/reviewing-papers/…
    – awkward
    Jul 31 at 12:15






  • 1




    @Bob: See: math.stackexchange.com/questions/190981/…, math.stackexchange.com/questions/289131/…
    – Moo
    Jul 31 at 12:39







1




1




Some refs: Joseph Rotman, Journey into Mathematics : An Introduction to Proofs, Dover (1998) and Antonella Cupillari, The Nuts and Bolts of Proofs, Elsevier (4th ed).
– Mauro ALLEGRANZA
Jul 31 at 9:05




Some refs: Joseph Rotman, Journey into Mathematics : An Introduction to Proofs, Dover (1998) and Antonella Cupillari, The Nuts and Bolts of Proofs, Elsevier (4th ed).
– Mauro ALLEGRANZA
Jul 31 at 9:05




1




1




The book How To Prove It by Daniel Velleman helped me great deal.
– Bill Wallis
Jul 31 at 9:35





The book How To Prove It by Daniel Velleman helped me great deal.
– Bill Wallis
Jul 31 at 9:35





1




1




The paper The notational conventions I adopted, and why by Edsger W. Dijkstra has been helpful for me.
– Marnix Klooster
Jul 31 at 11:49




The paper The notational conventions I adopted, and why by Edsger W. Dijkstra has been helpful for me.
– Marnix Klooster
Jul 31 at 11:49




1




1




"Mathematical Writing" by Knuth, Larrabee and Roberts contains notes from a course on mathematical writing taught at Stanford. The link below is for a pdf copy, or you can buy a hard copy from Amazon. jmlr.csail.mit.edu/reviewing-papers/…
– awkward
Jul 31 at 12:15




"Mathematical Writing" by Knuth, Larrabee and Roberts contains notes from a course on mathematical writing taught at Stanford. The link below is for a pdf copy, or you can buy a hard copy from Amazon. jmlr.csail.mit.edu/reviewing-papers/…
– awkward
Jul 31 at 12:15




1




1




@Bob: See: math.stackexchange.com/questions/190981/…, math.stackexchange.com/questions/289131/…
– Moo
Jul 31 at 12:39




@Bob: See: math.stackexchange.com/questions/190981/…, math.stackexchange.com/questions/289131/…
– Moo
Jul 31 at 12:39










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I would recommend you this paper by Christopher M. van Bommel: https://arxiv.org/ftp/arxiv/papers/1806/1806.06892.pdf






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    up vote
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    I would recommend you this paper by Christopher M. van Bommel: https://arxiv.org/ftp/arxiv/papers/1806/1806.06892.pdf






    share|cite|improve this answer

























      up vote
      1
      down vote













      I would recommend you this paper by Christopher M. van Bommel: https://arxiv.org/ftp/arxiv/papers/1806/1806.06892.pdf






      share|cite|improve this answer























        up vote
        1
        down vote










        up vote
        1
        down vote









        I would recommend you this paper by Christopher M. van Bommel: https://arxiv.org/ftp/arxiv/papers/1806/1806.06892.pdf






        share|cite|improve this answer













        I would recommend you this paper by Christopher M. van Bommel: https://arxiv.org/ftp/arxiv/papers/1806/1806.06892.pdf







        share|cite|improve this answer













        share|cite|improve this answer



        share|cite|improve this answer











        answered Jul 31 at 9:27









        Zacky

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