21. Talk:Max Dehn - Wikipedia, The Free Encyclopedia It is true that dehn and Helmuth Kneser corresponded about the Lemma in 1929.You can find A Guide to the max dehn Papers, 18991979 online. http://en.wikipedia.org/wiki/Talk:Max_Dehn

Wikimedia needs your help in its 21-day fund drive. See our fundraising page Over US$150,000 has been donated since the drive began on 19 August. Thank you for your generosity! Talk:Max Dehn From Wikipedia, the free encyclopedia. edit History of Dehn's Lemma I remember that Stillwell's book on Dehn and some selected papers mentions there is correspondence between Dehn and Kneser soon after Dehn claimed Dehn's Lemma. They were unable to resolve the problem, and Kneser published his conclusions in 1929. I don't have the book, unfortunately, but maybe someone (or me, if I get the time) could look up Stillwell's book. This may be something of a picky detail, but since this is a common mistake made by many sources, here's another way for Wikipedia to do better! Chan-Ho Suh 08:27, Sep 13, 2004 (UTC) It is true that Dehn and Helmuth Kneser corresponded about the Lemma in 1929. You can find A Guide to the Max Dehn Papers, 1899-1979 online. Charles Matthews 08:53, 13 Sep 2004 (UTC) I guess I wasn't very clear. What I am saying is that they may have corresponded about this much earlier than 1929. The source you cite does not have all his papers, and does include some correspondence in 1929. However, I distinctly recall that Stillwell had access to letters in the Dehn family archive, which included some letters between Kneser and Dehn. I'll have to check the book. The other thing that needs to be checked is if it was Kneser that really discovered the mistake. My memory of the nature of the correspondence is very fuzzy, but it may be that Dehn already knew of the mistake. A picky distinction, as I said, but in the interest of accuracy and so forth....

22. Max Dehn Seminar http://www.math.utah.edu/~margalit/maxdehn/

23. Max Dehn Seminar max dehn Seminar. Spring 2005. Wednesdays 300 LCB 215. Contact. http://www.math.utah.edu/~margalit/maxdehn/header.html

Max Dehn Seminar Fall 2005 Wednesdays LCB 222 Contact

24. The Mathematics Genealogy Project - Max Dehn According to our current online database, max dehn has 6 students and 488descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=7339

25. The Mathematics Genealogy Project - Update Data For Max Dehn If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=7339

26. Max Wilhelm Dehn Quotes And Quotations Compiled By GIGA GIGA s compilation of quotes, quotations, statements, excerpts, proverbs, maximsand aphorisms by max Wilhelm dehn. http://www.giga-usa.com/quotes/authors/max_wilhelm_dehn_a001.htm

THE MOST EXTENSIVE COLLECTION OF QUOTATIONS ON THE INTERNET Home Biographical Index Reading List Links ... Authors by Date TOPICS: A B C D ... Z PEOPLE: A B C D ... Z MAX WILHELM DEHN American (German-born) mathematician Mathematics is the only instructional material that can be presented in an entirely undogmatic way. - "The Mathematical Intelligencer" (vol. 5, no. 2) Mathematics Last Revised: 2005 August 17 The GIGA name and logo are trademarks registered in the U.S. Patent and Trademark Office by John C. Shepard. WWW.GIGA-USA.COM Back to Top of Page Buy book by Max Wilhelm Dehn ... MAX WILHELM DEHN SUPPORT GIGA CLICK TO PURCHASE Amazon Office Depot Target Field's CLICK TO CONTRIBUTE Honor System GIGA QUOTE LINKS Top 100 Quotes Top 50 Quality Quotations Worldwide Topsites GIGA's Best Quote Links

27. Max Wilhelm Dehn Quotations Compiled By GIGA GIGA s compilation of quotations, quotes, excerpts, proverbs, maxims and aphorismsby max Wilhelm dehn. http://www.giga-usa.com/gigaweb1/quotes2/quautdehnmaxwx001.htm

Home Biographical Index Reading List Links ... Varying Hare Books GIGA QUOTES BY AUTHOR GIGA Quotes Quotes by Topic Authors by Date TOPICS: A B C D ... Z PEOPLE: A B C D ... QUOTATIONS MAX WILHELM DEHN American (German-born) mathematician BUY BOOK RELATED TO MAX WILHELM DEHN Mathematics is the only instructional material that can be presented in an entirely undogmatic way. - "The Mathematical Intelligencer" (vol. 5, no. 2) [ Mathematics WWW.GIGA-USA.COM Back to Top of Page Top 100 ... Quote Links SUPPORT GIGA: Honor System Amazon Office Depot Target ... Field's The GIGA name and the GIGA logo are trademarks registered in the U.S. Patent and Trademark Office by John C. Shepard. Last Revised: 2004 November 22

28. World Of Quotes - Max Wilhelm Dehn Quotes. max Wilhelm dehn Quotes, Searchable and browsable database of quotations withauthor and subject indexes. Quotes from famous political leaders, authors, http://www.worldofquotes.com/author/Max-Wilhelm-Dehn/1/

i Topics Authors Proverbs ... Quote-A-Day Main Menu Topics Authors Proverbs Documents ... Contact Sponsor 6 Quotes for 'Max Wilhelm Dehn' in the Database. Pages: Author Letter "M" Mathematics is the only instructional material that can be presented in an entirely undogmatic way. Topic: Mathematics Source: "The Mathematical Intelligencer" (vol. 5, no. 2) With me everything turns into mathematics. [Fr., Omnia apud me mathematica fiunt.] Topic: Mathematics Source: "The Mathematical Intelligencer" (vol. 5, no. 2) As far as the laws of mathematics refer to reality, they are not certain, and as far as they are certain, they do not refer to reality. Topic: Mathematics Source: "The Mathematical Intelligencer" (vol. 5, no. 2) Do not worry about your difficulties in mathematics, I assure you that mine are greater. Topic: Mathematics Source: "The Mathematical Intelligencer" (vol. 5, no. 2) How can it be that mathematics, being after all a product of human thought independent of experience, is so admirably adapted to the objects of reality? Topic: Mathematics Source: "The Mathematical Intelligencer" (vol. 5, no. 2)

29. World Of Quotes - Mathematics Quotes Author max Wilhelm dehn Source The Mathematical Intelligencer (vol. 5, no.2). With me everything turns into mathematics. http://www.worldofquotes.com/topic/Mathematics/1/

i Topics Authors Proverbs ... Quote-A-Day Main Menu Topics Authors Proverbs Documents ... Contact Sponsor 24 Quotes for 'Mathematics' in the Database. Pages: Topics Letter "M" Like the crest of a peacock so is mathematics at the head of all knowledge. Author: Anonymous Source: "Like the Crest of a Peacock" by G.G. Joseph The mathematical sciences particularly exhibit order, symmetry, and limitation; and these are the greatest forms of the beautiful. Author: Aristotle Source: Metaphysica (3-1078b) For the things of this world cannot be made known without a knowledge of mathematics. Author: Roger Bacon Source: Opus Majus (pt. 4) It is the perennial youthfulness of mathematics itself which marks it off with a disconcerting immortality from the other sciences. Author: Roger Bacon Source: Opus Majus (pt. 4) The Handmaiden of the Sciences. Author: Eric Temple Bell Source: title of book, about mathematics It is the merest truism, evident at once to unsophisticated observation, that mathematics is a human invention. Author: P.W. Bridgman

30. Archives Of American Mathematics Spotlight The Max Dehn Papers The max dehn Papers at the Center for American History’s Archives of AmericanMathematics His colleague max dehn, a former assistant of David Hilbert, http://www.maa.org/features/050505may_archives.html

Search MAA Online MAA Home Archives of American Mathematics Spotlight: The Max Dehn Papers By Kristy Sorensen The Max Dehn Papers at the Center for American History’s Archives of American Mathematics tell the story of an established Jewish mathematician from Germany leaving his homeland under pressure from the Nazis and finishing his career in the United States, moving from one mathematically low-profile position to another. It is not a unique story, but the breadth and detail of the papers collected at the AAM make it an important part of the history of American mathematics. C.L. Siegel article with caricature for 1928 Festschrift in honor of Arthur M. Schoenflies, 6 November 1927. Dehn (1878-1952) earned his doctorate at Göttingen in 1900 under the direction of David Hilbert. He spent the majority of his career in Germany at Frankfurt University, where he served as the chair of Pure and Applied Mathematics from 1921-1935. In Germany he wrote one of the first systematic expositions of topology and developed important problems on group presentations. His scope of research included geometry, topology, group theory, and the history of mathematics. In 1938 he was forced to leave the university by the Nazis. He first took a position in Scandinavia, and in 1940 came to the United States by an Eastern route through Russia and Japan. After arriving in the United States, Dehn held several temporary appointments including positions at the University of Idaho in Pocatello, the Illinois Institute of Technology, and St John’s College in Annapolis, Maryland, before becoming the first mathematician on the staff of Black Mountain College, an un-accredited creative arts college in North Carolina. Dehn remained in North Carolina until his death in 1952.

31. AMERICAN MATHEMATICAL MONTHLY -March 2000 A famous old result of max dehn from 1902 says that a rectangle can be tiled bysquares if and only if the ratio of its sides is a rational number. http://www.maa.org/pubs/monthly_mar00_toc.html

Search MAA Online MAA Home March 2000 Yueh-Gin Gung and Dr. Charles Y. Hu Award for Distinguished Sevice to Paul R. Halmos by Andrew M. Gleason gleason@abel.math.harvard.edu Tiling with Squares and Anti-Squares by Chris Freiling, Robert Hunter, Cynthia Turner, and Russell C. Wheeler cfreilin@csusb.edu, Rlsmj5@aol.com, cturner@math.csusb.edu, rcwheel@juno.com Solving Linear Differential-like Equations by Luis Verde-Star verde@xanum.uam.mx We present a method for the solution of linear functional equations involving an operator that behaves like differentiation in a certain linear algebraic sense. Such equations include a large class of linear difference and differential equations with constant or variable coefficients. The basic ideas are presented first in the case of linear differential equations with constant coefficients. One-sided inverses of differential operators are obtained by means of a convolution product that is defined algebraically on the vector space of exponential polynomials. We show that the same constructions can be done in an abstract linear space. We use only basic concepts and results from linear algebra and some properties of polynomials and rational functions. Special Relativity with Acceleration by Garry Helzer gah@math.umd.edu

32. AMSMAA Joint Archives Committee dehn, max 18781952. AAM AAM. Duke Mathematical Journal 1927-1934. AAM;UW AAM; UW. Dunbar, William 1749-1810. Mississippi Department of Archives http://www.ams.org/mathweb/History/collections.html

AMSMAA Joint Archives Committee List of Archival Collections The names in this alphabetical list are represented by archival collections at the given locations in North America. No attempt is made to indicate where papers or letters by one person may also be located in the collection of another. Such cross references are often given in the collection descriptions in the indicated sources. Some mathematicians have been included for whom there are no known collections of papers. They are here only as reminders of the inevitable incompleteness of the historical record. Still there may be a possibility of filling in such gaps sometime. Corrections and additions to the list are welcomed; please see How to Provide Further Information for the List of Collections . The key to the abbreviations is given at the end. Name Birth and Death Dates of Person or Range of Collection for Institutions Location (See abbreviations at end.) Source of Information (See abbreviations at end.)

33. Dehn Twist -- Facts, Info, And Encyclopedia Article It is a theorem of (Click link for more info and facts about max dehn) maxdehn (and WR Lickorish independently) that maps of this form generate the (Click http://www.absoluteastronomy.com/encyclopedia/D/De/Dehn_twist.htm

Dehn twist [Categories: Geometric topology] In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics , in the sub-field of (Click link for more info and facts about geometric topology) geometric topology , a Dehn twist is a certain type of self- (Click link for more info and facts about homeomorphism) homeomorphism of a (The outer boundary of an artifact or a material layer constituting or resembling such a boundary) surface (two-dimensional (A pipe that has several lateral outlets to or from other pipes) manifold To be precise, suppose that g is a (A closed curve that does not intersect itself) simple closed curve in an closed, orientable surface S . Let A be a regular neighborhood of g . Then A is an ((Fungi) remnant of the partial veil that in mature mushrooms surrounds the lower part of the stem) annulus and so is (Click link for more info and facts about homeomorphic) homeomorphic to the (The set of elements common to two or more sets) Cartesian product of where I is the (Click link for more info and facts about unit interval) unit interval . Give A coordinates (s,t)

34. A Springer-Verlag Poster By F. J. Craveiro De Carvalho Among others it includes max dehn, F. Klein, E. Zermelo and, max dehn s lifehas always interested me. He solved one of Hilbert s famous problems, http://at.yorku.ca/t/o/p/d/62.htm

Topology Atlas Document # topd-62 A Springer-Verlag Poster F. J. Craveiro de Carvalho From TopCom Volume 10, #1 Other document formats (1 pages): PDF LaTeX PostScript DVI To Catriona Byrne The Mathematical Intelligencer as if he had been browsing through it right before being called to pose. Max Dehn's life has always interested me. He solved one of Hilbert's famous problems, the third, and things like Dehn twists, Dehn surgery, Dehn's lemma , for instance, crop up frequently in Topology and Group Theory related areas. Unfortunately he was one of the few mathematicians unable to obtain a job in accordance with his mathematical talent after being forced to flee from Germany in 1939. The interested reader may wish to look at the articles by Wilhelm Magnus and R. B. Sher which appeared in The Mathematical Intelligencer , volume 1, #3, and volume 16, #1, respectively, or the whole chapter written by John Stillwell in History of Topology , edited by I. M. James and published by North-Holland. The poem below was written after years of contemplating the poster I mention above, which hangs on the wall facing my desk, in my office. Portrait of Max Dehn This is the summer season of the quiet year of 1899 In the background there is a river or a stage-setting that creates a river.

35. University History - Johann Wolfgang Goethe-Universität a number of excellent scholars such as Paul Ehrlich, max dehn, max von Laue,Otto Stern, Hugo Sinzheim, Martin Buber, Walter Benjamin, and Erich Fromm. http://www.uni-frankfurt.de/english/about/history/

Navigationshilfe Zur Hauptnavigation Zur Service-Navigation Direkt zum Seiteninhalt Zur Bereichsnavigation ... Zur Seitenabschlussleiste Hauptnavigation Study Research International Academic Departments ... Zur Navigationshilfe Bereichs-Navigation Mission Statement University Campuses University History Facts and Figures ... Zur Navigationshilfe Service-Navigation Enter your search item here Search Submit search Advanced search Quick entry Search for selected item Click here for quick entry Contact International Office Internationales Studienzentrum Webmail Search for selected item Zur Navigationshilfe Seiteninhalt Home About the University University History University History FOUNDING AND HISTORY Frankfurt University was founded by wealthy Frankfurt citizens, including Franz Adickes, Wilhelm Merton, Franziska and Georg Speyer, Hedwig and Paul Ehrlich, Jakob Heinrich Schiff, Carl Franz, Friedrich Martin August J¼gel, Henriette und Heinrich Mannberger, Alice Ida Marx n©e Friedmann and spouse Eduard, Stefan Lorentz, Simon Moritz, Henning August Freiherr von Bethmann and spouse Maximiliane, Karl Bardorf, and Leo Gans (Casella). 1918 to 1932 The city of Frankfurt and Hessian state administration strongly support the young and dynamic university, which in turn attracts a number of excellent scholars such as Paul Ehrlich, Max Dehn, Max von Laue, Otto Stern, Hugo Sinzheim, Martin Buber, Walter Benjamin, and Erich Fromm.

36. Freshman-Sophomore Seminar Math Files dehn, max (German; 18781952) max Wilhelm dehn Euler, Leonhard (Swiss;1707-1783) He mostly worked in St. Petersburg, Russia, and in Berlin, http://www.math.rutgers.edu/~useminar/math.htm

Freshman-Sophomore Seminar Check regularly the following ever-growing list of ever-changing pdf files (the files grew out of lectures in various semesters; hence the occasional overlaps): Algebra some basic algebraic structures groups and fields try these simple algebra problems cyclic groups ... polynomials, field extensions, Euclidean constructions Linear Algebra vector spaces Spanning sets, independent sets, bases, dimension linear transformations Number Theory groups and number theory integers that can be written as the sum of two squares Wilson's theorem and Fermat's ``little theorem" Miscellanea Isometries of R n additive functions - the Cauchy equation images and inverse images symbols and notations Some further topics for talks (hopefully with writeups later): The Bolyai-Gerwien theorem Hilbert's third problem; Dehn's solution Cantor's world: Cardinalities; The Bernstein theorem; The Banach-Tarski paradox Lagrange's Four Squares Theorem Back to the Useminar homepage Names: Bernstein, Felix (German; 1878-1956) [born in Bolya, Transylvania, Austrian Empire, now Sibiu, Romania]

37. Referenced Names dehn, max (German; 18781952) max Wilhelm dehn. Euler, Leonhard (Swiss;1707-1783) He mostly worked in St. Petersburg, Russia, and in Berlin, http://www.math.rutgers.edu/~useminar/names.htm

Referenced names The source for most references is the excellent site http://www-history.mcs.st-andrews.ac.uk/history/BiogIndex.html Visit also the main page http://www-history.mcs.st-andrews.ac.uk/history/ and the following pages there: History Topics Index and A Time Line of Mathematicians Abel, Niels Henrik (Norwegian; 1802-1829) Bernstein, Felix (German; 1878-1956) [born in Bolya, Transylvania, Austrian Empire, now Sibiu, Romania] Cantor, Georg (born in St. Petersburg, Russia but lived in Germany; 1845-1918) [Georg Ferdinand Ludwig Philipp Cantor] Cauchy, Augustin (French; 1789-1857) [Augustin Louis Cauchy] Dehn, Max (German; 1878-1952) [Max Wilhelm Dehn] Euler, Leonhard (Swiss; 1707-1783) [He mostly worked in St. Petersburg, Russia, and in Berlin, Prussia] [He introduced the notations e and i Fermat, Pierre de (French; 1601-1665) Gerwien, P?. (Prussian; 18-18) [His lecture "The Problems of Mathematics" on 2nd ICM, 1900 Paris contains his famous 23 problems.] Lagrange, Joseph-Louis (Italian; 1736-1813) [born as Giuseppe Lodovico Lagrangia]

38. Mathematical Quotations -- D dehn, max. Mathematics is the only instructional material that can be presentedin an entirely undogmatic way. In The Mathematical Intelligencer, v. 5, no. http://math.furman.edu/~mwoodard/ascquotd.html

Mathematical Quotations D Back to MQS Home Page Back to "C" Quotations Forward to "E" Quotations D'Alembert, Jean Le Rond (1717-1783) Just go on..and faith will soon return. [To a friend hesitant with respect to infinitesimals.] In P. J. Davis and R. Hersh The Mathematical Experience Thus metaphysics and mathematics are, among all the sciences that belong to reason, those in which imagination has the greatest role. I beg pardon of those delicate spirits who are detractors of mathematics for saying this .... The imagination in a mathematician who creates makes no less difference than in a poet who invents.... Of all the great men of antiquity, Archimedes may be the one who most deserves to be placed beside Homer. Discours Preliminaire de L'Encyclopedie , Tome 1, 1967. pp 47 - 48. Dantzig The mathematician may be compared to a designer of garments, who is utterly oblivious of the creatures whom his garments may fit. To be sure, his art originated in the necessity for clothing such creatures, but this was long ago; to this day a shape will occasionally appear which will fit into the garment as if the garment had been made for it. Then there is no end of surprise and delight. Neither in the subjective nor in the objective world can we find a criterion for the reality of the number concept, because the first contains no such concept, and the second contains nothing that is free from the concept. How then can we arrive at a criterion? Not by evidence, for the dice of evidence are loaded. Not by logic, for logic has no existence independent of mathematics: it is only one phase of this multiplied necessity that we call mathematics.

39. Collected Works In Mathematics And Statistics dehn, max, 18781952, Papers on group theory and topology, 1, QA 171 D393 1987,Killam. de Rham, Georges, 1903-1990, Oeuvres mathématiques http://www.mathstat.dal.ca/~dilcher/collwks.html

Collected Works in Mathematics and Statistics This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: A B C D ... X-Y-Z A [On to B] [Back to Top] N.H. Abel

40. MaCs Awards The Toni and max dehn Prize was established to honor the memory of internationallyrecognized mathematician, Dr. max dehn, and as a tribute to long time http://mcs.bw.edu/awards.html

Departmental Awards The J. E. Adams Scholarship The J. E. Adams Scholarship was established as a memorial tribute to J. E. Adams, professor of mathematics at Baldwin Univeristy from 1903 to 1913. The scholarship is to recognize a top junior mathematics student. The Toni and Max Dehn Prize in Mathematics The Toni and Max Dehn Prize was established to honor the memory of internationally recognized mathematician, Dr. Max Dehn, and as a tribute to long time Berea resident, Mrs. Toni Dehn. The Fund was created by their family and friends to provide an annual mathematics prize to be awarded to a mathematics major for his/her superior academic achievement. The Anthony and Patricia Lauria Scholarship in Computer Science and Information Systems The Charles and Elsie Little Scholarship The Charles and Elsie Little Scholarship was established by their son, Dr. Richard Little, professor of mathematics at Baldwin-Wallace College, as a memorial in honor of Dr. Little's parents. The scholarship is to recognize student academic achievement in mathematics and computer science at Baldwin-Wallace College. The Dr. E. S. Loomis Mathematics Prize

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