Answers.Body: <p>The only old documents I find available online from the <em>Deutsche Schachzeitung</em> periodical are from Volumes 20, 21, 44, 45, 56, 57, which are <a href="https://archive.org/search.php?query=deutsche%20schachzeitung" rel="noreferrer">available at the Internet Archive</a>. So if you really are after Pauls' exact article for historical reasons, you might have to track down a hard copy of Volume 29 at a library.</p>
  
  <p>On the other hand, if you are primarily interested in the mathematical content of Pauls' article, then a decent (though also partial) exposition is available from <a href="http://www.sciencedirect.com/science/article/pii/S0012365X07010394" rel="noreferrer">"A survey of known results and research areas for n-queens"</a> by Jordan Bell and Brett Stevens, in <em>Discrete Mathematics</em> Volume 309, pp.1-31 (2009). For instance, they spell out Pauls' method of proof for the existence of solutions to the n-queens problem (which appears in the first part of the article for which you want the second part):</p>
  
  <blockquote>
    <p><strong>Theorem (Pauls 1874).</strong> For all n>3, n non-attacking queens can be placed on the n x n standard chessboard.</p>
  </blockquote>
  
  <p>The Bell--Stevens paper does point out that Pauls' part II gives a proof that the 92 solutions to the 8-queens problem given in 1850 by Nauck are exhaustive. But unfortunately, 
  Pauls' method of proof isn't given. (That said, Pauls' work here is mentioned alongside Gauss' earlier claim that a brute force computation could be used to prove that 92 is the total number, so perhaps that gives a hint at how Pauls proceeds.)</p>
  
  <p><strong>Edited to add:</strong> Bell and Stevens do point to two other old secondary sources which they say offer "excellent summaries" of prior work done on the 8-queens problem. These are:</p>
  
  <ol>
  <li><p>E. Lucas, <em>Récréations mathématiques</em>. 2ième éd., nouveau tirage. Librairie Scientifique et Technique Albert Blanchard, Paris, 1973.</p></li>
  <li><p>T.B. Sprague, On the eight queens problem, <em>Proc. Edinburgh Math. Soc.</em>, 17 (1899), pp. 43–68.</p></li>
  </ol>
  
  <p>The first is <a href="http://gallica.bnf.fr/ark:/12148/bpt6k3943s/f84.image" rel="noreferrer">available online via Gallica</a> (see the section on "Le problème des huit reines"), but it appears not to discuss the work of Pauls; rather, it focuses on the work of Günther (S. Günther, Zur mathematischen Theorie des Schachbretts, <em>Arch. Math. Phys.</em>, 56 (3) (1874), pp. 281–292), which work also receives an English-language exposition in <a href="http://books.google.com/books?id=nKxSCc5_cCcC&amp;lpg=PA457&amp;ots=3FsFz-lPDF&amp;dq=glaisher%20on%20the%20problem%20of%20the%20eight%20queens&amp;pg=PA457#v=onepage&amp;q&amp;f=false" rel="noreferrer">an 1874 <em>Philosophical Magazine</em> article by Glaisher</a>.</p>
  
  <p>The Sprague piece is also available online, <a href="http://books.google.com/books?id=jJvxAAAAMAAJ&amp;lpg=PA44&amp;ots=ixwKA-Khby&amp;dq=%22zur%20mathematischen%20theorie%20des%20schachbretts%22&amp;pg=PA43#v=onepage&amp;q&amp;f=false" rel="noreferrer">via Google Books</a>, but sadly it doesn't address Pauls either; instead, it again offers a look more at the Günther/Glaisher work, but this does at least mean explicitly addressing the matter of the 92 8-queens solutions on the standard chessboard, among other things.</p>
  
Answers.ContentLicense: CC BY-SA 3.0
Answers.CreationDate: 2014-08-31T15:53:13.320Z
Answers.LastActivityDate: 2014-08-31T18:52:25.767Z
Answers.LastEditDate: 2014-08-31T18:52:25.767Z
Answers.UserDisplayName: ETD
Answers.Body: <p>For people stumbling on this question: volume 29 is available online though <a href="https://books.google.be/books/about/Deutsche_Schachzeitung.html?id=YORgAAAAcAAJ" rel="noreferrer">Google Books</a> since februari 2015.</p>
  
Answers.ContentLicense: CC BY-SA 4.0
Answers.CreationDate: 2019-07-01T13:15:42.087Z
Answers.LastActivityDate: 2019-07-01T13:15:42.087Z
Answers.UserDisplayName: niknetniko
Body: <p>Where can I find the following article, which concerns the <a href="http://mathworld.wolfram.com/QueensProblem.html" rel="noreferrer">n-queens problem</a>?</p>
  
  <blockquote>
    <p>E. Pauls, Das Maximalproblem der Damen auf dem Schachbrete, II, Deutsche Schachzeitung. Organ f¨ur das Gesammte Schachleben 29 (9)(1874) 257–267.</p>
  </blockquote>
  
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2014-08-31T12:40:49.337Z
Comments.Text: The purpose of Chess SE is to solve problems related to chess, not to be a private search engine. That is why I have downvoted your question. Best regards.
Comments.UserDisplayName: AlwaysLearningNewStuff
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2014-08-31T15:13:10.637Z
Comments.Text: Sorry, this question concerns the famous problem of N Queens (in the case of Board 8 by 8: how to place 8 Queens without any attack on another)
Comments.UserDisplayName: benedito
Comments.ContentLicense: CC BY-SA 3.0
Comments.CreationDate: 2014-08-31T17:24:51.233Z
Comments.Text: OK, **after editing** your question I see how this question is related to Chess SE. I have retracted both my downvote and my vote to close this question. I have upvoted this post as well. Best regards.
Comments.UserDisplayName: AlwaysLearningNewStuff
Tags: <history><chessboards><mathematics>
Title: Where can I find Pauls' 1874 article on the n-queens problem?
ThreadText: # Where can I find Pauls' 1874 article on the n-queens problem?
  
  (Asked by: username_0 on 2014-08-31)
  
  Where can I find the following article, which concerns the [n-queens problem](http://mathworld.wolfram.com/QueensProblem.html)?
  
  > E. Pauls, Das Maximalproblem der Damen auf dem Schachbrete, II, Deutsche Schachzeitung. Organ f¨ur das Gesammte Schachleben 29 (9)(1874) 257–267.
  
  **Tags:** history, chessboards, mathematics
  
  > **Comments:**
  > **username_1**: The purpose of Chess SE is to solve problems related to chess, not to be a private search engine. That is why I have downvoted your question. Best regards.  
  > **username_0**: Sorry, this question concerns the famous problem of N Queens (in the case of Board 8 by 8: how to place 8 Queens without any attack on another)  
  > **username_1**: OK, **after editing** your question I see how this question is related to Chess SE. I have retracted both my downvote and my vote to close this question. I have upvoted this post as well. Best regards.  
  
  ---
  
  ## 2 answers
  
  ### Answer by username_2 on 2014-08-31. Score: 8
  
  The only old documents I find available online from the *Deutsche Schachzeitung* periodical are from Volumes 20, 21, 44, 45, 56, 57, which are [available at the Internet Archive](https://archive.org/search.php?query=deutsche%20schachzeitung). So if you really are after Pauls' exact article for historical reasons, you might have to track down a hard copy of Volume 29 at a library.
  
  On the other hand, if you are primarily interested in the mathematical content of Pauls' article, then a decent (though also partial) exposition is available from ["A survey of known results and research areas for n-queens"](http://www.sciencedirect.com/science/article/pii/S0012365X07010394) by Jordan Bell and Brett Stevens, in *Discrete Mathematics* Volume 309, pp.1-31 (2009). For instance, they spell out Pauls' method of proof for the existence of solutions to the n-queens problem (which appears in the first part of the article for which you want the second part):
  
  > **Theorem (Pauls 1874).** For all n>3, n non-attacking queens can be placed on the n x n standard chessboard.
  
  The Bell--Stevens paper does point out that Pauls' part II gives a proof that the 92 solutions to the 8-queens problem given in 1850 by Nauck are exhaustive. But unfortunately,
  Pauls' method of proof isn't given. (That said, Pauls' work here is mentioned alongside Gauss' earlier claim that a brute force computation could be used to prove that 92 is the total number, so perhaps that gives a hint at how Pauls proceeds.)
  
  **Edited to add:** Bell and Stevens do point to two other old secondary sources which they say offer "excellent summaries" of prior work done on the 8-queens problem. These are:
  
  1. E. Lucas, *Récréations mathématiques*. 2ième éd., nouveau tirage. Librairie Scientifique et Technique Albert Blanchard, Paris, 1973.
  2. T.B. Sprague, On the eight queens problem, *Proc. Edinburgh Math. Soc.*, 17 (1899), pp. 43–68.
  
  The first is [available online via Gallica](http://gallica.bnf.fr/ark:/12148/bpt6k3943s/f84.image) (see the section on "Le problème des huit reines"), but it appears not to discuss the work of Pauls; rather, it focuses on the work of Günther (S. Günther, Zur mathematischen Theorie des Schachbretts, *Arch. Math. Phys.*, 56 (3) (1874), pp. 281–292), which work also receives an English-language exposition in [an 1874 *Philosophical Magazine* article by Glaisher](http://books.google.com/books?id=nKxSCc5_cCcC&lpg=PA457&ots=3FsFz-lPDF&dq=glaisher%20on%20the%20problem%20of%20the%20eight%20queens&pg=PA457#v=onepage&q&f=false).
  
  The Sprague piece is also available online, [via Google Books](http://books.google.com/books?id=jJvxAAAAMAAJ&lpg=PA44&ots=ixwKA-Khby&dq=%22zur%20mathematischen%20theorie%20des%20schachbretts%22&pg=PA43#v=onepage&q&f=false), but sadly it doesn't address Pauls either; instead, it again offers a look more at the Günther/Glaisher work, but this does at least mean explicitly addressing the matter of the 92 8-queens solutions on the standard chessboard, among other things.
  
  
  ---
  
  ### Answer by username_3 on 2019-07-01. Score: 6
  
  For people stumbling on this question: volume 29 is available online though [Google Books](https://books.google.be/books/about/Deutsche_Schachzeitung.html?id=YORgAAAAcAAJ) since februari 2015.
  
  
  ---
  
  