[math-fun] The Scottish Book
I came across this translation of the "Scottish Book" 1935-1941 by Stan Ulam, http://kielich.amu.edu.pl/Stefan_Banach/pdf/ks-szkocka/ks-szkocka3ang.pdf. at the webpage http://kielich.amu.edu.pl/Stefan_Banach/archiwalia.html. In the introduction Ulam wrote, "Perhaps some of the problems will still present an actual interest to mathematicians", does anyone know if any of the problems are unsolved, unsolvable, related to current problems? Ulam also wrote "The tradition of the Scottish Book continues. Since 1945 new problems have been formulated and inscribed and a new volume is in progress", does anyone know of the 'new' volume? Stuart
On 3/4/2013 5:28 PM, Stuart Anderson wrote:
I came across this translation of the "Scottish Book" 1935-1941 by Stan Ulam, http://kielich.amu.edu.pl/Stefan_Banach/pdf/ks-szkocka/ks-szkocka3ang.pdf. at the webpage http://kielich.amu.edu.pl/Stefan_Banach/archiwalia.html. In the introduction Ulam wrote, "Perhaps some of the problems will still present an actual interest to mathematicians", does anyone know if any of the problems are unsolved, unsolvable, related to current problems? Ulam also wrote "The tradition of the Scottish Book continues. Since 1945 new problems have been formulated and inscribed and a new volume is in progress", does anyone know of the 'new' volume?
The story of the "New Scottish Book" is described in some detail on another page at the same web site: http://kielich.amu.edu.pl/Stefan_Banach/e-duda.html . Executive summary: After World War II, a new notebook of problems was started and updated until 1987. It is now kept at Wroclaw University. It does not seem to have been published, but hundreds of its entries appeared in the problems section of the journal Colloquium Mathematicum between 1948 and 1990. -- Fred W. Helenius fredh@ix.netcom.com
Leafing through it, I note that problem 59 (Ruziewicz (roo-zheh-vitch)) was settled in the affirmative in 1939 when Roland Sprague found the first known dissection of a square into dissimilar squares. On Mon, Mar 4, 2013 at 6:54 PM, Fred W. Helenius <fredh@ix.netcom.com>wrote:
On 3/4/2013 5:28 PM, Stuart Anderson wrote:
I came across this translation of the "Scottish Book" 1935-1941 by Stan Ulam, http://kielich.amu.edu.pl/**Stefan_Banach/pdf/ks-szkocka/** ks-szkocka3ang.pdf<http://kielich.amu.edu.pl/Stefan_Banach/pdf/ks-szkocka/ks-szkocka3ang.pdf> . at the webpage http://kielich.amu.edu.pl/**Stefan_Banach/archiwalia.html<http://kielich.amu.edu.pl/Stefan_Banach/archiwalia.html>. In the introduction Ulam wrote, "Perhaps some of the problems will still present an actual interest to mathematicians", does anyone know if any of the problems are unsolved, unsolvable, related to current problems? Ulam also wrote "The tradition of the Scottish Book continues. Since 1945 new problems have been formulated and inscribed and a new volume is in progress", does anyone know of the 'new' volume?
The story of the "New Scottish Book" is described in some detail on another page at the same web site: http://kielich.amu.edu.pl/**Stefan_Banach/e-duda.html<http://kielich.amu.edu.pl/Stefan_Banach/e-duda.html>.
Executive summary: After World War II, a new notebook of problems was started and updated until 1987. It is now kept at Wroclaw University. It does not seem to have been published, but hundreds of its entries appeared in the problems section of the journal Colloquium Mathematicum between 1948 and 1990.
-- Fred W. Helenius fredh@ix.netcom.com
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On a different front, Ulam's "Adventures of a Mathematician" is a fun compare-and-contrast with Feynman's books. On Mon, Mar 4, 2013 at 4:24 PM, Allan Wechsler <acwacw@gmail.com> wrote:
Leafing through it, I note that problem 59 (Ruziewicz (roo-zheh-vitch)) was settled in the affirmative in 1939 when Roland Sprague found the first known dissection of a square into dissimilar squares.
On Mon, Mar 4, 2013 at 6:54 PM, Fred W. Helenius <fredh@ix.netcom.com>wrote:
On 3/4/2013 5:28 PM, Stuart Anderson wrote:
I came across this translation of the "Scottish Book" 1935-1941 by Stan Ulam, http://kielich.amu.edu.pl/**Stefan_Banach/pdf/ks-szkocka/** ks-szkocka3ang.pdf<http://kielich.amu.edu.pl/Stefan_Banach/pdf/ks-szkocka/ks-szkocka3ang.pdf> . at the webpage http://kielich.amu.edu.pl/**Stefan_Banach/archiwalia.html<http://kielich.amu.edu.pl/Stefan_Banach/archiwalia.html>. In the introduction Ulam wrote, "Perhaps some of the problems will still present an actual interest to mathematicians", does anyone know if any of the problems are unsolved, unsolvable, related to current problems? Ulam also wrote "The tradition of the Scottish Book continues. Since 1945 new problems have been formulated and inscribed and a new volume is in progress", does anyone know of the 'new' volume?
The story of the "New Scottish Book" is described in some detail on another page at the same web site: http://kielich.amu.edu.pl/**Stefan_Banach/e-duda.html<http://kielich.amu.edu.pl/Stefan_Banach/e-duda.html>.
Executive summary: After World War II, a new notebook of problems was started and updated until 1987. It is now kept at Wroclaw University. It does not seem to have been published, but hundreds of its entries appeared in the problems section of the journal Colloquium Mathematicum between 1948 and 1990.
-- Fred W. Helenius fredh@ix.netcom.com
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participants (4)
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Allan Wechsler -
Fred W. Helenius -
Rowan Hamilton -
Stuart Anderson