61. Math Trek : Rainbow Randomness, Science News Online, March 30, 2002 Dutch mathematician bartel L. van der waerden (1903–1996) was for one of the firstto identify such a pattern among integers—one that involves arithmetic http://www.sciencenews.org/20020330/mathtrek.asp

Math Trek Rainbow Randomness Food for Thought Beefy Losses Science Safari Seaweed Sights TimeLine 70 Years Ago in Science News Week of March 30, 2002; Vol. 161, No. 13 Rainbow Randomness Ivars Peterson The branch of pure mathematics known as Ramsey theory concerns the existence of highly regular patterns in sufficiently large sets of randomly selected objects, whether they are gatherings of people, piles of pebbles, stars in the night sky, or sequences of numbers generated by the throw of a die. Patterns can arise out of randomness in a variety of ways. On a clear, moonless night, we see thousands of stars scattered across the sky. With so many stars visible, it's not particularly difficult to pick out groups that appear in a certain pattern: four stars that nearly form a straight line or a square, six stars that define a cross, seven stars in the shape of a dipper. The human imagination fills in the rest, connecting the dots to create a menagerie of celestial creatures that inhabit the sky. Ramsey theory goes further by proving the existence of highly regular mathematical patterns among sets of integers and other mathematical objects. Indeed, it implies that complete disorder is impossible. Somehow, no matter how complicated, chaotic, or random something appears, deep within that morass lurks a smaller entity that has a definite structure. Striking regularities are bound to arise even in a universe without rules. Dutch mathematician Bartel L. van der Waerden (1903–1996) was for one of the first to identify such a pattern among integers—one that involves arithmetic progressions (or sequences) in sets of numbers. An arithmetic progression is a sequence of numbers in which each number is bigger (or smaller) than the number before it by a constant amount. For example, the sequence of integers 3, 5, 7 is a three-term arithmetic progression in which the difference between successive terms is 2.

62. Fireball Shop Translate this page waerden, bartel L. van der Die Astro 1988. X, 315 Sm 53 Abb. 21,5cm der Autor wurde am 2.2.1903 in Amsterdam geboren. Im Jahre http://shopping.fireball.de/scripts/fb/browse.php?cat=195&pg=9

63. Table Of Contents Translate this page . TABLE OF CONTENTS, 75. . . TABLE OF LITERATURE REFERENCES, 126. .ARTICLE, waerden, bartel van den Die Arithmetik der Pythagoreer. I, 127.. http://134.76.163.65/agora_docs/37186TABLE_OF_CONTENTS.html

Mathematische Annalen Bibliographic description for this electronic document This is volume 120 of Mathematische Annalen TITLE PAGE I TABLE OF CONTENTS III ARTICLE ... Browsing list

64. Heidelberger Akademie Der Wissenschaften Translate this page bartel L. van der waerden Die gemeinsame Quelle der erkenntnistheoretischenAbhandlungen von Iamblichos und Proklos. Abhandlungen http://www.haw.baden-wuerttemberg.de/extranet/publikationen/publ-phil-1980.html

Heidelberger Akademie der Wissenschaften PHILOSOPHISCH-HISTORISCHE KLASSE Sitzungsberichte Hildebrecht Hommel: Der Gott Achilleus. Erich Dinkler: Christus und Asklepios. Zum Christustypus der polychromen Platten im Museo Nazionale Romano. Herbert Hunger: Antiker und byzantinischer Roman. Alfred Adler: Am Stillen Herd ... "Foyer" in Romanen des 19. Jahrhunderts. Eike Wolgast: Die Religionsfrage als Problem des Widerstandsrechts im 16. Jahrhundert. Klaus Heger: Sprachvergleich und Semantik. Das Beispiel der grammatischen Kategorien 'Person' und 'Numerus'. Bartel L. van der Waerden: Die gemeinsame Quelle der erkenntnistheoretischen Abhandlungen von Iamblichos und Proklos. Abhandlungen Konrad Gaiser: Das Philosophenmosaik in Neapel. Eine Darstellung der platonischen Akademie. Kommissionen DAO (Dictionnaire onomasiologique de l'ancien occitan), Fascicule 2, Les Belles Lettres, Paris Alamannische Altertumskunde Jan Thorbecke Verlag, Sigmaringen Schriften Band 7, Jutta Stadelmann: Der Runde Berg bei Urach, IV. Funde der vorgeschichtlichen Perioden aus den Plangrabungen 1967-1974, Jan Thorbecke Verlag, Sigmaringen

65. Mid-Hudson Library System /ALL Jennifer See Waelti Walters Jennifer R 1 waerden BL van der bartel Leendert1903 2 waerden bartel L van der bartel Leendert 1903 See waerden BL van http://gigcat.midhudson.org:90/kids/10,938,892/search/aWaerden, B. L. van der (B

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66. Physics Today May 2001 of Max Born with being the first to name the new physics Quantum Mechanics. Forevidence, he referred to an article in bartel L. van der waerden's Sources of http://www.physicstoday.com/pt/vol-54/iss-5/p90c.html

Back to Table of Contents May letters: Latin American Physicists Weigh In on Funding, Demographics, Potential Global Science Teams Will Have to Share Resources and Glory Renormalized Relations in Condensed Matter Mystery Error in Gamow's ... Quantum Mechanics, Born Again Quantum Mechanics, Born Again In his Letter (Physics Today, April 2001, page 94 ), Carlos D. Galles noted that a photograph caption in my July 2000 Physics Today article on Werner Heisenberg and Albert Einstein (page 39) erroneously credits Heisenberg instead of Max Born with being the first to name the new physics "Quantum Mechanics." For evidence, he referred to an article in Bartel L. van der Waerden's Sources of Quantum Mechanics (Dover, New York, 1967). I thank Galles for his correction. But allow me to add that the photograph and its caption were supplied not by me but by Physics Today staff (a staff that I have always found to be helpful to authors, and that rarely, except perhaps at the last minute of production, would make even a small glitch). I also congratulate Galles for reminding readers of the useful book by van der Waerden. I know it well; as it happens, I placed it as volume 5 in the Dover series, Classics of Science , when I was the series' editor.

67. Physics Today April 2001 These statements are based on bartel Leendert van der waerden's wellknown bookon the history of quantum mechanics, 4 which includes English translation of http://www.physicstoday.com/pt/vol-54/iss-4/p94a.html

Back to Table of Contents April Letters: Heisenberg's Message to Bohr: Who Knows? Part 1 Heisenberg's Message to Bohr: Who Knows? Part 2 Haigerloch Cave Survived the War Born Coined the Term ... Correction Site Index Physics Today Home Page Current Issue Past Contents Job Ads Upcoming Meetings Buyer's Guide About Physics Today Contact Us Advertising Information Print Ad Rates and Specs Online Ad Rates and Specs Advertiser Index Product Information Information Exchange Born Coined the Term I n the article by Gerald Holton (Physics Today, July 2000), the photograph caption on page 39 , stating that Werner Heisenberg named the new physics "quantum mechanics," is misleading. The expression "quantum mechanics" was first used in the scientific literature by Max Born in a 1924 article in which he discussed "the formal passage from classical mechanics to a quantum mechanics." When Heisenberg wrote his famous paper that laid the foundations of the new theory, he used Born's expression; the term was common in articles by Born, Pascual Jordan, Heisenberg, Wolfgang Pauli, and Paul Dirac that appeared immediately afterward. In particular, Born and Jordan's paper that introduces the subject of matrix mechanics bears the title "On Quantum Mechanics." These statements are based on Bartel Leendert van der Waerden's well-known book on the history of quantum mechanics

68. Emmy Noether 1882 - 1935 Translate this page in Göttinger Jahrbuch 38 , 1990, 153 - 219. van der waerden, bartel,L. Nachruf auf Emmy Noether in Math. Annalen, 111 , 1935, 469 - 476. http://www.mathematik.uni-wuerzburg.de/~brechtk/noeth.html

Dokumentation zur Ausstellung: Leben und Werk der Mathematikerin Emmy Noether Texte: Herkunft und Schulzeit Wissenschaftliche Erfolge Abitur und Studium Diskriminierung ... Bildnachweis Herkunft und Schulzeit Kampf um die Zulassung von Frauen zum Studium Abitur und Studium Erste wissenschaftliche Arbeiten Habilitation Exkurs. Es folgt Quellen- und Archivmaterial zum Habilitationsverfahren von Emmy Noether. Alle Texte werden zitiert nach Tollmien (vgl. Literatur). Aus dem Antrag der math.-naturwissenschaftlichen Abteilung Eure Exzellenz (vgl. Tollmien, S.163) Am 5. 11.1917 schreibt das Ministerium: (vgl. Tollmien, S.181) Diskussion zu der Frage der Habilitation von Frauen (vgl. Tollmien, S.168) (vgl. Tollmien, S.168f) F. Klein schreibt Anfang 1916 an D. Hilbert: (vgl. Tollmien, S.192) Hilbert schreibt in seinem Gutachten zur Habilitation: (vgl. Tollmien, S.177) E. Landau schreibt am 1.8.1915 in seinem Gutachten zur Habilitation von Emmy Noether: (vgl. Tollmien, S.176) A. Einstein schreibt am 24.5.1918 in einem Brief an Hilbert: (vgl. Tollmien, S.193)

69. ETH-Bibliothek: Archiv Der ETH Zürich Translate this page Treadwell, William Dupré. Trüeb, Greta. V. van der waerden, bartel L. Verbandder Studierenden an der ETH Zürich. Viollet-le-Duc, Eugène Emmanuel. W. http://www.ethbib.ethz.ch/eth-archiv/nachlaesse.html

Home ETH English Ask a Librarian ... NEBIS ausleihbares Verzeichnis erstellt worden ist. Benutzungsordnung (pdf File) A B C ... H I J K L M ... T U V W X Y Z A Abt, Roman Ackeret, Jakob Aebli, Werner Alexandroff, Pavel Sergejewitsch ... Attenhofer, Adolf B Bachmann, Markus Rudolf Bader, Walter Baer, Hans Bagdasarjanz, Benjamin ... Burri, Conrad C Cramer, Karl D Daenzer, Walter Deschwanden, Josef Wolfgang von Dieterle, Walter Dunkel, William ... Duthaler, Otto E Eggert, John Egli, Ernst Eiberle, Kurt Einstein, Albert ... Escher-Diener, Eduard Felix F Fanno, Gino Farbmusterkollektionen Favre, Alphonse Felix, Walter R. ... Fueter, Eduard G Gebhart, Paul Gerber, Hans Gerecke, Eduard Gnehm, Robert ... Guyer-Freuler, Eduard H Heer, Oswald Heim, Albert Heim, Arnold Heim-von Brasch, Elisabeth ... Hurwitz, Adolf J Jaccard, Paul Jacobi, Jolande Jaray, Paul Jung, Carl Gustav K Kaiser, Ernst

70. ETH-Bibliothek: Archiv Der ETH Zürich Translate this page Fiedler, Heinz Hopf, Adolf Hurwitz, Hermann Weyl, Eduard Stiefel, Heinz Rutishausersowie den Briefsammlungen von George Pólya und bartel van der waerden. http://www.ethbib.ethz.ch/eth-archiv/handschriften.html

Home ETH English Ask a Librarian ... Medaillensammlung Durch Schenkungen gelangte die Handschriftensammlung auch in Besitz von nicht unmittelbar ETH-bezogenem Material wie der Hermann Hesse-Sammlung der Familie Leuthold und dem C. G. Jung-Archiv Duplikatsarchiv Archive von Gesellschaften und von studentischen Vereinigungen gedruckte und ausleihbare Verzeichnisse

71. K. Zahrt - Thoughts On Ancient Egyptian Mathematics van der waerden, bartel L. Science Awakening II. Noordhoff International Publishing.Leyton, The Netherlands Noordhoff International Publishing, 1974. http://www.iusb.edu/~journal/2000/zahrt.html

Thoughts on Ancient Egyptian Mathematics Kim R. W. Zahrt Communicated by: Dr. Micheal Kinyon Department of Mathematics ABSTRACT Do the experts, Egyptomologist, know the true history of Egypt, and furthermore, are they sure of the level of Egyptian mathematical thought? This paper demonstrates two problems found on ancient papyri, and examines the words of scholars to determine the answer to the above questions. It has been said that Egyptian mathematics was only practical arithmetic and simple geometry. There are several scholars who contend Egyptians lacked formal proofs and stated rules, and therefore they lacked ``the scientific attitude of mind'' (Gillings 232). Thomas Eric Peet, a noted professor of Egyptology, refers to the table of fractions in the Rhind Mathematical Papyrus as being proof that the Egyptians did not reach a scientific understanding of mathematics (ibid). Concerning geometry, Bartel L. Van der Waerdan in Science Awakening II states ``The Egyptians of the Middle Kingdom had methods for calculating areas . . . but there is no textual evidence of a geometry with constructions and proofs. Furthermore . . . the mathematical texts were no longer copied after the Hyksos period'' (41). These and other scholars contend that the Egyptians did not have the rigor of mathematics, and the value of studying Egyptian mathematics lies only in its place as history. There are two prime sources which are considered the best examples of Egyptian mathematics. These are the Rhind Mathematical Papyrus and the Moscow Mathematical Papyrus. Several other sources exist such as the the Kahun Mathematical Fragments and the Mathematical Leather Roll at the British Museum, but these add nothing of substance to our knowledge of ancient Egyptian mathematics.

72. AAC Database - Browse - List 6, waerden, BL van der. 6, waerden, bartel Leendert van der See waerden,BL van der. 2, Waerdt, Paul A. vander See vander Waerdt, Paul A. http://valeph.tau.ac.il/ALEPH/ENG/TAU/AAC/AAC/SCAN-F/1574349

Sourasky Central Library Browse - AUTHOR list - ALL DOCUMENTS The numbers in the list below indicate the number of documents listed under a term. To display the documents, click on an eye . To move up or down the list, click on the arrow. Waerden, B. L. van der Waerden, Bartel Leendert van der See: Waerden, B. L. van der Waerdt, Paul A. Vander See: Vander Waerdt, Paul A. WAES See: Workshop on Alternative Energy Strategies Waes, Luuk van Waesberghe, Joseph Smits van See: Smits van Waesberghe, Joseph Waescher, Hermann See: Wascher, Hermann Waetzoldt, Adolf Wilhelm, 1880-1945 See: Waetzoldt, Wilhelm,1880-1945 Waetzoldt, [?], Dr. med. Waetzoldt, Hartmut Waetzoldt, Stephan Waetzoldt, Wilhelm, 1880-1945

73. Die Carathéodory-Nachfolge In München 1938-1944 Translate this page von Faber, dem Rektor der Universität München den Vorschlag der Fakultät mitAn erster Stelle Gustav Herglotz und bartel van der waerden, an zweiter Stelle http://litten.de/fulltext/caraa.htm

Freddy Litten Centaurus. International Magazine of the History of Mathematics, Science, and Technology I Da also van der Waerden und Siegel politisch " untragbar Erst im Januar 1939 bewegte sich wieder etwas. Klose war damit aus dem Rennen; Seitenanfang Seitenende Anmerkungen 12. Das folgende nach [UAM, NC]. 13. Leider liegen die Gutachten Prandtls und Pfeiffers nicht beim Akt. 14. Das folgende nach [BayHStA]. 15. Vgl. Anmerkung 6. Home Volltexte Inhaltsverzeichnisse/abstracts Seitenanfang ... F. Litten

74. CanonicalTomes: Algebra Title Algebra Author bartel Leendert van der waerden ISBN 0387974253 Price($US)unknown In Canada Buy this book at Chapters.ca In the US and Elsewhere http://www.canonicaltomes.org/topic.cgi?topic_id=187

75. Physics Today September 2000 With the mathematician bartel van der waerden, he proved the completereducibility of the representations of semisimple Lie groups. http://www.aip.org/pt/vol-53/iss-9/p80.html

76. Definic V Translate this page Véase Waals, Joannes Diderik van der. van der waerden, bartel Leinder. Véasewaerden, bartel Leinder van der. vandermonde, Alexandre Théophile. http://ing.unne.edu.ar/Matem_diccion/p323_letra_v_definic.htm

V Vigésima letra del abecedario de mayúsculas que, en la numeración romana vale 5. v Vigésima letra del abecedario de minúsculas, que suele emplearse para representar la incógnita, y a veces, como característica de algunas funciones y como sigla de vector. Vacca, Giovanni Erudito italiano, nacido en 1872, a quien se deben varios estudios críticos sobre las obras de Harriot, Maurolico, Cavalieri, Lagrange y otros, así como algunos trabajos acerca de la Matemática China. Vailati, Giovanni Italiano (1863-1909), que publicó varias monografías sobre Filosofía Matemática y notables artículos en numerosas revistas, espacialmente en la de Métaphysique et de Morale de París. Valeiras, Antonio Argentino contemporáneo, nacido el año 1895, a quien se deben algunas memorias sobre ecuaciones integrales, construcción de cónicas, curva de Viviani, funciones monógenas, triángulo de perímetro mínimo, curvas unicursales y sistemas complejos de Humbert, que ha tomado como punto de arranque para desarrollar la teoría de funciones analíticas. Valentinuzzi, Máximo

77. Indice V Translate this page van Ceulen, Ludolf. van der Waals, Joannes Diderik. van der waerden, bartel Leinder.vandermonde, Alexandre Théophile. vara. Varahamihira. variabilidad. variable. http://ing.unne.edu.ar/Matem_diccion/p323_ind_v.htm

INDICE LETRA "V" V v Vacca, Giovanni Vailati, Giovanni ... vórtice

78. Literaturliste Translate this page van der waerden, bartel Leenert Geometry and Algebra in Ancient CivilizationsSpringer-Verlag, Berlin, 1983. nach oben Biographisches Material. http://www.hp-gramatke.de/history/german/page9000.htm

Bibliographie Allgemeine Nachschlagewerke Signalverarbeitung, Nachrichtentechnik, Geschichte des Computers Mechanische Automaten, Musikautomaten Geschichte der Mathematik, Historische mathematische Werke ... Energieprinzip, Mechanik und Perpetuum Mobile Allgemein Bibliographisches Institut (Hrsg.): Meyers Konversations-Lexikon Encyclopaedia Britannica (Hrsg.): Encylclopaedia Britannica Inc, Chicago 1980 Feldhaus, Franz Maria: Feldhaus, Franz Maria: Feldhaus, Franz Maria: Kulturgeschichte der Technik [Skizzen in 2 Bden.] Verlag Otto Salle, Berlin 1928 Lueger, Otto (Hrsg.): Lexikon der gesamten Technik und ihrer Hilfswissenschaften Zweite, vollst. neu bearb. Aufl. Deutsche Verlags-Anstalt, Stuttgart, 1904-1914 Schriever , Karl-Heinz; Schuh, Frieder (Hrsg.): Zweiburgen-Verlag, Weinheim / Verlag Moderne Industrie 1981 Signalverarbeitung und Geschichte des Computers Aschoff, Volker: Deutsches Museum (Hrsg.): Abhandlungen und Berichte, 49. Jg., 1981, Heft 3 Bauer, Friedrich L.: Baxandall, D.; Pugh, Jane:

79. Christianism - Appendixes - Author Index 687, 695696; Tyndall, John, 692; Underwood, BF, 701; Vaillant, P.,722-723; van der waerden, bartel L., 734, 737; van Hoof, Anton JL http://www.christianism.com/appendicies/author_index.html

Subject Index Bibliography Author Index Aeschylus, 780, 818 Alexander the Great, 773, 785, 787 Allen, Richard Hinckley, 745 Angoff, Charles, 793 Aristotle, 745, 773 Augustine, 688, 701, 722, 725-727, 729, 765, 767, 784, 797 Aveni, Anthony, 742 Baldung, Hans, 798 Bede, 746 Birdwood, George, 764, 768 Black, Jeremy, 744, 776 Bossard, James, 797 Bowersock, G.W., 674 Bradlaugh, Charles, 710 Brecher, Kenneth, 749 Brown, Sanger, 756 Calvin, 716, 726 Casaubon, 713 Chadwick, Owen, 720 Champollion, 735 Chrysostom, 666, 701, 727 Churchward, Albert, 770 Cicero, 671, 708, 717, 719, 722, 738 Cirlot, J.E., 775 Clement, 705, 727, 745 Colenso, John William, 684-685, 707, 795, 815 Comfort, Alex, 800 Constantine, 700-701, 807, 809 Conway, Moncure, 700 Cornell, James, 736 Cox, George, 685 Cumont, Franz, 740, 773 d'Alviella, Eugene Goblet, 764 Davidson, 685 deBury, Richard, 733 de Gourmont, Remy, 759 deMause, Lloyd, 796-797 Demokritos, 740 de Santillana, Giorgio, 748 Diderot, 705 Donaldson, 705 Dreiser, 827 PAGE 834 Ecclesiastes [Koheleth], 666, 669, 671, 707, 778-792 Einstein, Albert, 833

80. Christianism - Apéndices - Índice De Nombres De Autores 687, 695696; Tyndall, Juan, 692; Underwood, Bf, 701; Vaillant, P.,722-723; van der waerden, bartel L., 734, 737; van Hoof, Antón JL http://www.christianism.com/spanish/appendicies/author_index.html

Aeschylus, 780, 818 Alexander el grande, 773, 785, 787 Allen, Richard Hinckley, 745 Angoff, Charles, 793 Aristotle, 745, 773 Augustine, 688, 701, 722, 725-727, 729, 765, 767, 784, 797 Aveni, Anthony, 742 Baldung, Hans, 798 Bede, 746 Birdwood, George, 764, 768 Negro, Jeremy, 744, 776 Bossard, James, 797 Bowersock, G.w., 674 Bradlaugh, Charles, 710 Brecher, Kenneth, 749 Calvin, 716, 726 Casaubon, 713 Chadwick, Owen, 720 Champollion, 735 Chrysostom, 666, 701, 727 Churchward, Albert, 770 Cicero, 671, 708, 717, 719, 722, 738 Cirlot, J.e., 775 Clemente, 705, 727, 745 Colenso, Juan Guillermo, 684-685, 707, 795, 815 Comodidad, Alex, 800 Constantina, 700-701, 807, 809 Conway, Moncure, 700 Cornell, James, 736 $cox, George, 685 Cumont, Franz, 740, 773 d'Alviella, cubilete de Eugene, 764 Davidson, 685 deBury, Richard, 733 de Gourmont, Remy, 759 deMause, Lloyd, 796-797 Demokritos, 740 de Santillana, Giorgio, 748 Diderot, 705 Donaldson, 705 Dreiser, 827 Dupuis, Charles Fran1c;ois, 735, 745 Ecclesiastes [ Koheleth ], 666, 669, 671, 707, 778-792

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