1. The Mathematics Genealogy Project - Moritz Pasch Moritz Pasch Biography. Ph.D. Universit t Breslau 1865 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

2. Pasch Biography of Moritz Pasch (18431930) http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Biografia De Pasch, Moritz Las figuras clave de la historia. Reportajes. Los protagonistas de la actualidad. Pasch, Moritz (Wroclaw, 1843Bad Homburg, 1930) Matem tico http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Poster Of Pasch Moritz Pasch. lived from 1843 to 1930. Pasch worked on the foundations of geometry.He found a number of assumptions in Euclid that nobody had noticed http://www-groups.dcs.st-and.ac.uk/~history/Posters2/Pasch.html

Moritz Pasch lived from 1843 to 1930 Pasch worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Find out more at http://www-history.mcs.st-andrews.ac.uk/history/ Mathematicians/Pasch.html

5. Nineteenth Century Geometry instance of axiomatization of a branch of knowledge was not available in print until 1882, when Moritz Pasch (b. 1843, d. 1930) published his http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Carl And Elaine Pasch Family History Moritz Pasch (8 Nov 1843 20 Sept 1930) Mathmatician He was born in Breslau, Germany (now Wroclaw, Poland). http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Pasch - Netlexikon Moritz Pasch (18431930), Mathematiker, trug zur axiomatischen Begr ndung der Geometrie bei; das Axiom von Pasch und der Satz von Pasch handeln von http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Poster Of Pasch Moritz Pasch died 75 years ago 20th September 1930 Pasch worked on the foundations of geometry. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Historia Matematica Mailing List Archive [HM] Pasch, Peano Moritz Pasch's "Vorlesungen "uber neuere Geometrie", Leipzig 1882, appeared after the admirable geometrical treatises by von Staudt 1856/57 http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Pasch Portrait Portrait of Moritz Pasch http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Math Forum - Ask Dr. Math I need all possible information on Moritz Pasch. http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

12. Moritz Pasch - Wikipedia Translate this page Moritz Pasch, nato a Breslau, Germania (ora Wroclaw in Polonia), il 8 novembre1843 e Il punto di vista di Pasch è che i geometri si fidavano troppo http://it.wikipedia.org/wiki/Moritz_Pasch

Wikimedia ha bisogno del tuo aiuto nei suoi 21 giorni di raccolta fondi. Per i dettagli leggi qui Oltre 220.000$ sono stati donati dall'inizio della raccolta il 19 agosto. Grazie per la vostra generosit ! Moritz Pasch Da Wikipedia, l'enciclopedia libera. Moritz Pasch , nato a Breslau Germania (ora Wroclaw in Polonia ), il 8 novembre e morto a Bad Homburg , Germania, il 20 settembre ) ¨ stato un matematico. Nella sua carriera si occup² specialmente dei fondamenti della geometria , anticipando la critica all'incompletezza dei postulati di Euclide che trov² poi un convinto sostenitore in David Hilbert . Il punto di vista di Pasch ¨ che i geometri si fidavano troppo dell'intuizione fisica, il che porta a risultati sorprendenti e non intuitivi come il principio di dualit  , che mostra come punti e rette siano intercambiabili. Una dimostrazione matematica deve essere invece basata solamente su una serie di assiomi formali. Tra i suoi contributi, sono degni di nota l' Assioma di Pasch , che afferma che se una retta entra in un triangolo ABC dal lato AB e non passa per i suoi vertici allora deve uscirne passando per uno degli altri due lati, e il Teorema di Pasch , del 1882, che afferma che se i punti a b c e d stanno su una retta, e sono ordinati (a,b,c) e (b,c,d), allora vale anche la relazione d'ordine (a,b,d).

13. Moritz Pasch * Translate this page Moritz Pasch. Moritz Pasch, nato a Breslau, Germania (ora Wroclaw in Polonia),il 8 novembre 1843 e morto a Bad Homburg, Germania, il 20 settembre 1930) è http://searchbox.it/Moritz_Pasch

Cerca su Wikipedia e Open Directory: Moritz Pasch Moritz Pasch , nato a Breslau Germania (ora Wroclaw in Polonia ), il 8 novembre e morto a Bad Homburg , Germania, il 20 settembre ) è stato un matematico. Nella sua carriera si occupò specialmente dei fondamenti della geometria , anticipando la critica all'incompletezza dei postulati di Euclide che trovò poi un convinto sostenitore in David Hilbert . Il punto di vista di Pasch è che i geometri si fidavano troppo dell'intuizione fisica, il che porta a risultati sorprendenti e non intuitivi come il principio di dualità , che mostra come punti e rette siano intercambiabili. Una dimostrazione matematica deve essere invece basata solamente su una serie di assiomi formali. Tra i suoi contributi, sono degni di nota l' Assioma di Pasch , che afferma che se una retta entra in un triangolo ABC dal lato AB e non passa per i suoi vertici allora deve uscirne passando per uno degli altri due lati, e il Teorema di Pasch , del 1882, che afferma che se i punti a b c e d stanno su una retta, e sono ordinati (a,b,c) e (b,c,d), allora vale anche la relazione d'ordine (a,b,d). Consulta la voce ' Moritz Pasch ' su Wikipedia , l'enciclopedia libera.

14. Browse The Cornell Library Historical Math Monographs pasch, moritz. Veränderliche und funktion. Peano, Giuseppe. Applicazioni GeometricheDel Calcolo In. Peirce, Benjamin. Address of professor Benjamin Peirce, http://historical.library.cornell.edu/math/math_P.html

Sorted by Title A B C ... O P R S TU V ... XYZ Authors "P" Page, James Morris Ordinary differential equations, with an introduction to Lie's theory of the group of one parameter Painlevé, Paul Leçons, sur la théorie analytique des équations différentielles, professées à Stockholm (septembre, octobre, novembre 1895) sur l'invitation de S. M. le roi de Suède et de Norwège Leçons sur l'intégration des équations différentielles de la mécanique et applications Parfentieff, Nikolai Nikolaev Études sur la théorie de la croissance des fonctions Pascal, Ernesto Die Determinanten. Eine Darstellung ihrer Theorie und Anwendungen mit Rücksicht auf die neueren Forschungen I gruppi continui di trasformazioni. (Parte generale della teoria) I miei integrafi per equazioni differenziali Repertorio di matematiche superiori (definizioniformoleteoremicenni bibliografici) (Volume 1) ... Die Variationsrechnung Pasch, Moritz Veränderliche und funktion Peano, Giuseppe Applicazioni Geometriche Del Calcolo In Peirce, Benjamin Address of professor Benjamin Peirce, President of the American Association for the year 1853, on retiring from the duties of President An elementary treatise on curves, functions, and forces (Volume 1) An elementary treatise on curves, functions, and forces (Volume 2) Peirce, Benjamin Osgood Elements of the theory of the Newtonian potential function Petersen, Julius

15. Pasch Biography of moritz pasch (18431930) moritz pasch studied in Berlin and thentaught in Giessen. He worked on the foundations of geometry. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Pasch.html

Moritz Pasch Born: 8 Nov 1843 in Breslau, Germany (now Wroclaw, Poland) Died: 20 Sept 1930 in Bad Homburg, Germany Click the picture above to see a larger version Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Version for printing Moritz Pasch studied in Berlin and then taught in Giessen. He worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Pasch's Axiom is that if a line enters a triangle ABC through the side AB and does not pass through C then it must leave the triangle either between B and C or between C and A . Pasch argued in 1882 that geometers rely too heavily on physical intuition. In his view an argument in mathematics should not depend on the physical interpretation of the terms involved but upon purely formal axioms. Pasch claimed that the principle of duality contradicted physical intuition about points and lines, nobody believed that these terms were interchangeable. Hilbert was to be influenced by these ideas of Pasch.

16. The Mathematics Genealogy Project - Moritz Pasch According to our current online database, moritz pasch has 30 students and 30descendants. We welcome any additional information. http://www.genealogy.math.ndsu.nodak.edu/html/id.phtml?id=19496

17. The Mathematics Genealogy Project - Update Data For Moritz Pasch 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=19496

18. Math Forum - Ask Dr. Math I need all possible information on moritz pasch. Picture or photo of moritzpasch 2. Family background of moritz pasch 3. What are the works pasch made http://mathforum.org/library/drmath/view/52529.html

Associated Topics Dr. Math Home Search Dr. Math Moritz Pasch Date: 09/20/97 at 03:56:00 From: Noel A. Srefanek Subject: Need biography of mathematician I'm hoping you can help me on a project for school. Can you give me information on the following? 1. Picture or photo of Moritz Pasch 2. Family background of Moritz Pasch 3. What are the works Pasch made for Mathematics? 4. What were his contributions to Mathematics? 5. What happened in his later days? 6. Biography of Moritz Pasch These questions my teacher gave me are very hard for me. I have already read most of the books in school but they are incomplete. Please help me on this very hard reference. Thank you. Best regards, Kristeen Joan Stefanek Date: 09/20/97 at 22:48:26 From: Doctor Jodi Subject: Re: Need biography of mathematician Hi Kristeen, Thanks for your question. I searched at the St. Andrew's math history site. Here's what I found (look under P: http://www-history.mcs.st-and.ac.uk/~history/BiogIndex.html There's a picture here, if you have Web access. Otherwise, see the paper references below. Pasch studied in Berlin and then taught in Giessen. He worked on the foundations of geometry. He found a number of assumptions in Euclid that nobody had noticed before. Pasch's Axiom is that if a line enters a triangle ABC through the side AB and does not pass through C then it must leave the triangle either between B and C or between C and A. Pasch argued in 1882 that geometers rely too heavily on physical intuition. In his view an argument in mathematics should not depend on the physical interpretation of the terms involved, but upon purely formal axioms. Pash claimed that the principle of duality contradicted physical intuition about points and lines; nobody believed that these terms were interchangeable. Hilbert was to be influenced by these ideas of Pash. Several references were also listed at

19. Math Forum - Dr. Math Archives - Search Results moritz pasch 09/20/1997 I need all possible information on moritz pasch.Omar Khayyam 01/19/1997 I need three events about Omar Khayyam, a 1st century http://mathforum.org/library/drmath/results.html?textsearch=mathematician biogra

20. DML: Digital Mathematics Library: Retrodigitized Mathematics Journals And Monogr moritz pasch. (by pasch,moritz), 225, 1912. book. 62, Cornell Vorlesungen über numerisches http://www.mathematik.uni-bielefeld.de/~rehmann/DML/dml_links_title_V.html

DML: Digital Mathematics Library Also: WDML: World Digital Mathematics Library Retrodigitized Mathematics Journals and Monographs Contains links to 1874 digitized books (> 385236 pages ) and to 145 digitized journals (> 2942143 pages). (Numbers of pages are preliminary; not all informations are already available.) Includes all the links mentioned on page 920 of: Allyn Jackson, "The Digital Mathematics Libary", Notices Amer. Math. Soc., vol. 50 (8), 2003 Local Copy A similar list is offered at http://www.wdml.org The database for this table is an ASCII based (ISO Latin 8859-1 extended) list , which may be parsed by this PERL script If you want items to be added here, please send me the necessary data. Lists ordered by "Journal", "Repository" (Journals only) or by "Author name", "Title" are provided, as well as an overview of the repositories Author: A B C D ... Z Title: A B C D ... Z Nr. Repository: Title, Author: Pages: Year(s): Type: Cornell V.2 Mehrdimensionale Geometrie (by Schoute, Peter Hendrik) book Cornell Vector analysis and quaternions (by Macfarlane, Alexander) book GDZ Vektorübertragung, Richtungsübertragung und Metrik in ihren gegenseitigen Beziehungen

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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