21. The Mathematics Genealogy Project - Update Data For Heinrich Tietze 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=57471

22. Tietze, Heinrich Translate this page heinrich FF tietze wurde 1880 in einem kleinen Dorf am Hang des waldigenRosaliengebirges, 50 km südlich Wien geboren als Sohn des Geologen Emil tietze und http://www.mathe.tu-freiberg.de/~hebisch/buecher/autoren/tietze.html

Tietze, Heinrich

23. Bücher über Mathematik Translate this page heinrich tietze, Gelöste und ungelöste mathematische Probleme, CH Beck Verlag.Roland Mildner, Der verzwickte Tag, Reinhardt Becker Verlag. http://www.mathe.tu-freiberg.de/~hebisch/cafe/cafebuecher.html

A. Polgar Unterhaltungsmathematik Summa Summarum Teubner Verlag Hugo Steinhaus Studentenfutter , Urania-Verlag. Johannes Lehmann Mathe mit Herz , Urania-Verlag. und Konrad Haase Der verzauberte Raum , Urania-Verlag. Heinrich Tietze , C. H. Beck Verlag. Roland Mildner, Der verzwickte Tag , Reinhardt Becker Verlag. Raymond Smullyan , Fischer-Verlag. Nicholas Falletta, Paradoxien , Fischer-Verlag. Marie Berrondo, , Fischer-Verlag. J. C. Baillif, Denkpirouetten , Fischer-Verlag. Rudy Rucker Der Ozean der Wahrheit , Fischer-Verlag. Hubert Phillips Mathematische Puzzles , Fischer-Verlag. Martin Gardner Die magischen Zahlen des Dr. Matrix , Fischer-Verlag. Sam Loyd und Martin Gardner DuMont-Verlag Sam Loyd und Martin Gardner DuMont-Verlag Lewis Carroll Geschichten mit Knoten , Insel-Verlag. Hans Borucki, , Aulis Verlag. Hans Borucki, Online in die vierte Dimension , Aulis Verlag. Helmut Neunzert, Bernd Rosenberger, Oh Gott, Mathematik!? Teubner Verlag Ian Stewart Mathematik ... Denkt Gott symmetrisch? Hans Rademacher, Otto Toeplitz, Von Zahlen und Figuren , Springer Verlag Pierre Berloquin

24. AIM Reprint Library: tietze, heinrich http://www.aimath.org/library/library.cgi?database=reprints;mode=display;BrowseT

25. AIM Reprint Library: tietze, heinrich tietze, Manfred Tiezer, Rick Tihomirov, VM Tijdeman, R.Tillman, Ulrike Tilouine, J. Tilouine, Jacques Tilton, Meg http://www.aimath.org/library/library.cgi?database=reprints;mode=display;BrowseL

26. BASIS Buchhandlung Und Antiquariat - Tietze, Heinrich Gelöste Und Ungelöste Ma http://www.basis-buch.de/main-159571.html

Start Bücher Service Lesungen ... AGB Bücher Alte Drucke Anthropologie Antifaschismus Antike ... Varia Gelöste und ungelöste mathematische Probleme aus alter und neuer Zeit. Vierzehn Vorlesungen für Laien und für Freunde der Mathematik. in zwei Bänden (= Bd.1: Erste bis achte Vorlesung; Bd.2: Neunte bis vierzehnte Vorlesung. Register zu beiden Bänden) Tietze, Heinrich Papier leicht gebräunt, sonst gutes Exemplar! 271 S(1) + 294 S(2) Orig.Broschur 8°; dtv (4398) München 1982 18,00 EUR Sorry - Das Buch ist zur Zeit leider nicht lieferbar! Naturwissenschaften Astrologie, Alchemie, Mystik. Eine Betrachtung zur Geschichte der Naturwissenschaften Das Gehirn des Menschen. 6 Vorlesungen für Hörer aller Fakultäten Der Vogel aus dem Franz. übers. und hrsg. von Uwe Nettelbeck mit 33 Farbtafeln nach J.. Audubon The Birds of America Die Evolution des Gehirns - die Erschaffung des Selbst ... Physiologische Pflanzenanatomie 3. neubearb. und vermehrte Aufl. mit 264 Abb. im Text

27. BASIS Buchhandlung Und Antiquariat - Naturwissenschaften Translate this page tietze, heinrich Gelöste und ungelöste mathematische Probleme aus alter und neuerZeit. Vierzehn Vorlesungen für Laien und für Freunde der Mathematik. in http://www.basis-buch.de/main-137470.html

Start Bücher Service Lesungen ... AGB Bücher Alte Drucke Anthropologie Antifaschismus Antike ... Varia Naturwissenschaften Strunz, Franz Astrologie, Alchemie, Mystik. Eine Betrachtung zur Geschichte der Naturwissenschaften Verlag: Barth Eccles, John C. Das Gehirn des Menschen. 6 Vorlesungen für Hörer aller Fakultäten Verlag: Piper Michelet, Jules/ J.J. Audubon Der Vogel aus dem Franz. übers. und hrsg. von Uwe Nettelbeck mit 33 Farbtafeln nach J.. Audubon The Birds of America Verlag: Greno Eccles, John C. Die Evolution des Gehirns - die Erschaffung des Selbst Verlag: Piper Bernoulli, Christoph Elementarisches Handbuch der industriellen Physik, Mechanik und Hydraulik in 2 Bänden Verlag: Cotta Haberle, E.E. Meteorologische Aphorismen zur Erlernung wissenschaftlicher Witterungs-Beurtheilung und Erfoschung für gebildete Menschen aus allen Ständen Verlag: Landes -Industrie-Comptoirs Haberlandt, G, Physiologische Pflanzenanatomie 3. neubearb. und vermehrte Aufl. mit 264 Abb. im Text Verlag: Engelmann Waterton, Charles

28. Math Forum - Ask Dr. Math This is in agreement with the following reference tietze, heinrich, _FamousProblems of Mathematics_ (New York Graylock Press, 1965), especially Chapter http://mathforum.org/library/drmath/view/52257.html

Associated Topics Dr. Math Home Search Dr. Math Mobius Strips and the Six-Color Map Theorem Date: 12/16/98 at 13:37:00 From: Doctor Schwa Subject: Re: Mobius strips Both of these questions have the same answer. The coloring theorem only says that if you draw any map on a mobius strip then it is POSSIBLE to color it with AT MOST 6 different colors so that no two adjacent regions have the same color. If you find that two adjacent regions have the same color so that it looks as if you need more than six, just start over coloring it in a different way and you'll find it's always possible to find SOME way of coloring that works using at most six colors. - Doctor Schwa, The Math Forum http://mathforum.org/dr.math/ http://mathforum.org/dr.math/ http://mathforum.org/dr.math/ Associated Topics College Discrete Math High School Discrete Mathematics Search the Dr. Math Library: Find items containing (put spaces between keywords): Click only once for faster results: [ Choose "whole words" when searching for a word like age.

29. List Of Scientists By Field tietze, heinrich Franz Friedrich. Tifashi, Shihab alDin Abu L- ?Abbas A?madIbn Yusuf al-. Tifashi, Shihab al-Din Abu L- ?Abbas A?mad Ibn Yusuf al- http://www.indiana.edu/~newdsb/t.html

Tabor, John Tacchini, Pietro Taccola, Mariano di Jacomo Tachenius, Otto Tachenius, Otto Tacquet, Andreas Tait, Peter Guthrie Tait, Peter Guthrie Takagi, Teiji Talbot, William Henry Fox Talbot, William Henry Fox Tamm, Igor Evgenievich Tammann, Gustav Heinrich Johann Apollon Tanakadate, Aikitsu Tanfilev, Gavriil Ivanovich Tanfilev, Gavriil Ivanovich Tanfilev, Gavriil Ivanovich Tannery, Jules Tannery, Paul Tarde, Jean Tarde, Jean Targioni Tozzetti, Giovanni Tarski, Alfred Tashiro, Shiro Tashiro, Shiro Tauber, Alfred Taurinus, Franz Adolph Taylor, Brook Taylor, Charles Vincent Taylor, Frank Bursley Taylor, Frederick Winslow Taylor, Geoffrey Ingram Taylor, Geoffrey Ingram Taylor, Hugh Stott Teall, Jethro Justinian Harris Teichmann, Ludwik Karol Teichmann, Ludwik Karol Teilhard de Chardin, Pierre Teilhard de Chardin, Pierre Teissier, Georges Telesio, Bernardino Ten Rhyne, Willem Ten Rhyne, Willem Tennant, Smithson Tennent, David Hilt Termier, Pierre Tesla, Nikola Tesla, Nikola Thales Thaxter, Roland Thayer, William Sydney Theaetetus Themistius Themistius Thenard, Louis Jacques

30. Documents For An Access Point 5, heinrich tietze, Famous problems of mathematics Solved and unsolved Author(s), heinrich tietze. Publication, Baltimore Graylock Press , 1965 http://libibm.iucaa.ernet.in/slim/wslxRSLT.php?A1=8043

31. Documents For An Access Point 1, heinrich tietze, Famous problems of mathematics Solved and unsolved mathematica,008682, 1965, Book, 0. 2, Ian Stewart, Problems of mathematics, 003733 http://libibm.iucaa.ernet.in/slim/wslxRSLT.php?A1=43389

32. Famous Problems heinrich tietze Graylock Press, New York 1965 Unknown binding. 367 pages.LCCN 64008910. Famous Problems Other Monographs, 2nd edition http://www.mathpropress.com/mathBooks/FamousProblems.html

Famous Problems 100 Great Problems of Elementary Mathematics: Their history and solution Heinrich Dorrie Dover Publications , New York: 1965 Unknown binding. 393 pages. LCCN 65-014030 100 Great Problems of Elementary Mathematics: Their History and Solution Heinrich Dorrie Dover Publications , New York: 1989 Paperback. 393 pages. ISBN 0-486-61348-8 CatalanÕs Conjecture: are 8 and 9 the only consecutive powers? Paulo Ribenboim Academic Press, New York: 1994 Hardcover. 364 pages. ISBN 0-12-587170-8 LCCN 93-23740 Célèbres problèmes mathématiques Edouard Callandreau Michel, Paris: 1949 Unknown binding. 477 pages. French. LCCN 50-030380 Famous Geometrical Theorems and Problems William Whitehead Rupert UMI-books out of print on demand, MI: date of publication unknown Paperback. Famous geometrical theorems and problems: With their history William Whitehead Rupert D. C. Heath, Boston: 1900 Unknown binding. LCCN 01-003555 Famous Problems and Other Monographs Felix Klein Chelsea, New York: 1955

33. Collections Of Problems heinrich tietze Biederstein, Munich 1949 Unknown binding. German. LCCN 50021079 heinrich tietze Beck, Munich 1959 Unknown binding. 297 pages. German. http://www.mathpropress.com/mathBooks/ProblemCollections.html

Collections of Problems 1001 Math Problems Learning Express Unknown publisher, City of publication unknown: date of publication unknown Unknown binding. ISBN 1-57685-200-8 300 dŽfis mathematiques Mohammed Aassila Ellipses, Paris: 2001 Paperback. 266 pages. French. ISBN 2-7298-0840-X A Collection of examples and problems in pure and mixed mathematics: with Answers and Occasional Hints, 6th edition Alfred Wrigley Longman, Brown, Green, Longmans and Roberts, London: 1862 Hardcover. 309 pages. A Collection of examples and problems in pure and mixed mathematics, 8th edition Alfred Wrigley Longmans, London: 1871 Hardcover. 309 pages. A Collection of examples and problems in pure and mixed mathematics Alfred Wrigley Longman, Brown, Green, and Longmans, London: 1903 Unknown binding. 294 pages. LCCN 03-007231 A Collection of Mathematical Problems Stanislaw M. Ulam Interscience Publishers, New York: 1960 Paperback. 150 pages. LCCN 60-008486 A Collection of Mathematical Problems and Examples: Arranged in the Different Subjects Progressively, with answers to all the Questions

34. Mathematics At The Brno German Technical University of professor of geometry and heinrich tietze (18801964) was appointed professorof mathematics. tietze was a student at Technical University in Vienna. http://www.math.muni.cz/~sisma/English/bautzen.html

Mathematics at the Brno German Technical University Introduction This lecture is devoted to education of mathematics at the school which was the first technical school in Brno. The history of the German Technical University is the history of technical educational institution until 1945. In 1849 the school started as a Technical College, and during 1849-1873 it was transformed into Technical University of the second half of 19th century. The students of the school came to Brno from many parts of the Austro-Hungarian Empire and later from many other countries. The aim of this lecture is to describe the staff at the Departments of Mathematics. There were many renowned mathematicians teaching at this school, especially up to 1918. These, in most cases young, mathematicians became professors of important universities in Austria and Germany. Some of them are e.g. Emanuel Czuber, Ernst Fischer, Johann Radon, Georg Hamel, Richard Mises, and Heinrich Tietze. Some well-known Czech, German, and Austrian mathematicians also tried to become professors at the German Technical University in Brno: for example, Matyas Lerch, Hans Hahn, Wilhelm Blaschke and Emil Artin. The hundred years' history of this school still remains largely unexplored in the Czech Republic. The already existing works are mostly in German and their main concern is the foundation of the school. From later period, these works mention mainly organizational matters of the school. The most important resources are

35. Basic Library List-General tietze, heinrich. Famous Problems of Mathematics Solved and Unsolved MathematicalProblems From Antiquity to Modern Times Baltimore, MD Graylock Press, http://www.maa.org/BLL/general.htm

GENERAL Back to Table of Contents General: General Anthologies ** Aleksandrov, A.D.; Kolmogorov, Andrei N.; and Lavrent'ev, M.A., eds. Mathematics: Its Content, Methods, and Meaning, Cambridge, MA: MIT Press, 1969. 3 Vols. Behnke, H., et al., eds. Fundamentals of Mathematics, Cambridge, MA: MIT Press, 1974, 1983. 3 Vols. * Boehm, George A.W. The Mathematical Sciences: A Collection of Essays Cambridge, MA: MIT Press, 1969. Campbell, Douglas M. and Higgins, John C., eds. Mathematics: People, Problems, Results, Belmont, CA: Wadsworth, 1984. 3~Vols. Kapur, J.N. Fascinating World of Mathematical Sciences, New Delhi: Mathematical Sciences Trust Society, 1989. 3 Vols. Le Lionnais, F., ed. Great Currents of Mathematical Thought, Mineola, NY: Dover, 1971. 2 Vols. *** Newman, James R. The World of Mathematics, Redmond, WA: Microsoft Press, 1988. 4 Vols. Saaty, Thomas L. and Weyl, F. Joachim, eds. The Spirit and the Uses of the Mathematical Sciences New York, NY: McGraw-Hill, 1969. * Scientific American. Mathematics in the Modern World New York, NY: W.H. Freeman, 1968.

36. Readings Translate this page Dorothea Anna Hagena Thomas Limpinsel Willy Rachow heinrich Pachl Holger Weiler Carin C. tietze Klaus Zmorek Marc Ottiker Eckhard Preuß Alexandra http://www.readings.de/index.php3

actors readings readings - actors readings - writer actors readings readings - actors readings - writer ... readings - scripts Stefan Krause Marita Breuer Michaela Merten Raphaela Dell Jürgen Kloth Ill Young Kim Thomas Hackenberg Alexander Beyer Ina Cross Gernot Schmidt Anna Thalbach Christoph Biemann Marcel Kyrill-Gardelli Daniel Brühl Ayshe Nastassja Gallé Michael León Mehmet Yilmaz Kai Taschner Christoph Fromm Kerstin Thielemann Thomas Pohn Michael Schönborn Eva-Maria Höfling Arved Birnbaum Martina Schröder Alexander Hegener Astrid M. Fünderich Oliver Petszokat Günter Senkel Martin Rauhaus Ricky Watson Michael Tregor Margarethe von Trotta Ercan Durmaz Luis Lamprecht Felix zu Knyphausen Detlef Bothe Oliver Mommsen Dorothea Anna Hagena Doris Schretzmayer Jochen Bendel Annette Wunsch Luci van Org Niels Ruf Bernd Reheuser Nicola Tiggeler Désirée Nick Sabrina Rattey Minh-Khai Phan-Thi Emma Brunckhorst Benjamin Kradolfer Anne Sophie Briest Thomas Darchinger Georg Leumer Sven Severin Christoph Ortmann Matthias Redlhammer Randolf Kronberg Katharina Wackernagel Thomas Clemens Klaus Zmorek Hansa Czypionka Charlotte Roche Ludger Pistor Natja Brunckhorst Freya Trampert Axel Milberg Peter Zintner Klaus-Peter Grap Nino Sandow Alexandra Henkel Carin C. Tietze Kurt Glockzin Tatjana Blacher Susanne Beck Markus Dittrich Michael Seyfried Robert Meller Martina Schiesser Willi Thomczyk Mario Krüger Anian Zollner Toni Snètberger Lars Rudolph Christian Hoening Frank Röth Jochen Schropp Carl-Christian Demke Susanne Schmidt Brigitte Böttrich Wolf Reiser Raimund Maessen Ellen Gödde Christian Glockzin Anne-Marie Bubke Robert Hummel Anna Brüggemann Leander Lichti Horst Sachtleben Konstantin Wecker Katja Brenner Andreas Potulski Marion Kracht Silvester Berger Wolfram Grandezka Türkiz Talay Jeanette Hain Michael Brandner Elmar Fasshauer Peter Gavajda Magdalena Fernandez Ritter Kathrin Ackermann Eisi Gulp Andreas Hoppe Esther Schweins Rufus Beck Susanne Hoss Nina Vorbrodt Renate Krößner Udo Wachtveitl Barbara Rudnik Nele Müller-Stöfen Sissi Kelling Alexandra Helmig Cassis Kilian Ulrike Tscharre Dimitri Tellis Mavie Hörbiger Christian Kahrmann Dieter Moor Carolin Fink Carin C. Tietze Thure Riefenstein Laura Schuhrk Michael Mendl Charles M. Huber Natalia Wörner Felix Bold Matthias Schweighöfer Laura Henseler Georg Prang Cornelius Schwalm Doreen Dietel Peter Nottmeier Florian Heiden Michael Krause Michael Munteanu Hannah Herzsprung Tabea Heynig Oscar Ortega-Sanchez Herbert Reinecker Ralf Müller Willy Rachow Peter Lohmeyer Paul Louis Schopf Caroline Redl Kristina van Eyck Jean Paul Raths Thomas Knauf Klaus Schindler Joachim Hermann Luger René Hofschneider Andreas Klich Thomas Schweinsberg Michael Ammann Thorsten Nindel Philipp Moog Daniela Hoffmann Wolfgang Häntsch Holger Doellmann Thomas Anzenhofer Christian Toulali Kathrin-Marén Enders Monika Hansen Johannes Brandrup Christine Neubauer Simone Thomalla Cosima von Borsody Susanne Wagner Andreas Conrad Ingrid Sattes Marc Bennert Ercan Karacayli Ursula Andermatt Susanna Simon Camilla Renschke Bibiana Beglau Kristian Bader Gert Schaefer Dennenesch Zoudé Christiane Paul Bernhard Bettermann Haydar Zorlu Michael von Au Bernd Tauber Dorkas Kiefer Brigitte Oessling Karime Vakilzadeh Mathias Dinter Felix von Manteuffel Felix Bresser Jutta Schmuttermaier Matthias Fuchs Leslie Malton Natascha Bub Christoph Maria Herbst Ina Weiße Hans-Martin Stier Dieter Landuris Harald Weiler Mart Kivastik Christoph Hemrich Rosemarie Fendel Markus Bräutigam Andreas Herder Armin Vestin Peer Martiny Sandra Keller Boris Freytag Timothy Peach Burghart Klaußner Peter Kremer Frank Rebel Sven Martinek Till Brinkmann Volker Lechtenbrink Susann Uplegger Marc Ottiker Achim Hübner Stephan Benson Frank Büssing Dietrich Hollinderbäumer Erich Hallhuber Anette Felber Johannes Steck Josef Luszpinski Michaela Wiebusch Marlon Kittel Ralf Richter Thomas Herrmanns Eckhard Preuß Maximilian von Beyme Hanns Zischler Dieter Henkel Nina Hoger Jürgen Zartmann Michael Lott Katrin Laur Wolke Hegenbarth Horst-Günter Marx Maximiliane Häcke Ulla Sachse Joachim Vollrath Felix Theissen Jutta Fastian Philipp Danne Svenja Pages Ralf Komorr Max von Thun Peer Augustinski Miriam von Versen Jenny Elvers Marion von Stengel Janine Kunze Jürgen Tonkel Adnan Günter Köse Tonio Arango Michael Kausch Ulrike Bliefert Sonja Kerskes Boris Treyer Stefan Jürgens Ilse Strambowski Martin Glade Dominic Raacke Bärbel Schäfer Tanya Neufeldt Christina Kallas Antje Schmidt Nuran Calis Sergey Kalantay Wilhelm Wieben Annette Koschmieder Jockel Tschiersch Gruschenka Stevens Hendrikje Fitz Klaus B. Wolf Henning Baum Hans Kremer Benjamin Sadler Frank Stieren Uwe Janson Fred Breinersdorfer Nicolas König Christian Maltzan Andreas Arnstedt Birgit Stein Bruno Eyron Barbara Auer Bettina Hauenschild Alexandra Neldel Dietmar Bär Tim Bergmann Thorsten Wettcke Pierre Besson Konstantin Moser Jochen Brunow Roland Eugen Christof Wackernagel Stefanie Mühle Wolfgang Unterzaucher Carolin Schmidt Jan Kurbjuweit Martin Armknecht Annett Kruschke Bernd Stegemann Ute Maria Lerner Herbert Feuerstein Katharina Schubert Heinrich Giskes Nina Rothemund Regina Lemnitz Christoph Willumeit Dorothea Gädeke Helga Storck Adrian Topol Peter Märthesheimer Dirk Bach Thomas Gimbel Michael Röhrenbach Peter Albers Heinrich Pachl Marita Ragonese Christian Ingomar Simon Licht Gerhardt Haag Marc Richter Holger Handtke Matthias Altenburg Oliver Pautsch Stefan Rogall Margot Nagel Lisa Martinek Hans-Michael Rehberg Robert Spitz Semmy Stumpp Götz Otto Stephan Schwartz Eva Padberg Petra Kleinert Annabelle Mandeng Tatiani Katrantzi Tayfun Bademsoy Max Tidof Rhon Diels Peter Fricke Thomas Eifler Nils Willbrandt Leonard Lansink Thomas Luft Andreas Borcherding Thomas Huber Udo Schenk Oliver Czeslik Maria Bachmann Katja Weitzenböck Martin Ecker Luca Zamperoni Corinna Nilson Sema Meray Rike Schmid Doris Abeßer Thomas Morris Petra Einhoff László I. Kish Julia Jäger Sotiria Loucopoulos Bettina Redlich Christof Arnold Maximilian Mauff Stefan Keller Denis Moschitto Michael Habeck Renan Demirkan Thomas Limpinsel Inga Busch Loretta Stern Joachim Raaf Marco Rima Wolfgang Wagner Torsten Buchsteiner Nils Brunkhorst Nika von Altenstadt George Lenz Ulrike Johannson Jochen Nickel Susanne Pätzold Marc Hosemann Rolf Lappert Ronnie Janot Berry Manders Marc Sohns Eva Ebner Chris Kraus Jürgen Seidler Antoine Monot jr. Max Herbrechter Feridun Zaimoglu Katrin Aebischer Catherine Flemming Markus Knüfken Christian Wittmann Katharina Schwarzmaier Elke Heidenreich Harald Warmbrunn Moritz Lindbergh Herbert Meurer Florian Lukas Ralph Herforth Andreas Brucker Inés Gress Orhan Kömürcü Georg Uecker Andreas Maria Schwaiger Niki Greb Axel Siefer Tom Beck Alexandra Sydow Markus Pfeiffer Isabella Schmid Karin Nennemann Ulli Lothmanns Isolde Barth Max Gertsch Stefan Dähnert Johannes Habla Heinrich Schafmeister Stephanie Bothor Mirjam Ploteny Peter Fitz Stephanie Philipp Alexander Wipprecht Stefanie Stappenbeck Michael Lentz Johanna Christine Gehlen Maren Kroymann Hans Uwe Bauer Claudia Scarpatetti Pea Fröhlich Nicole Marischka Sepp Schauer Werner Tritzschler Raffaello Kramm Michael Ehnert Christian Brückner Georg Scharegg Ernest A. Hausmann Sabine Postel Axel Gottschick Oana Solomon Gabrielle Scharnitzky Steffi Mühlhan Gosia Konieczna Gian Rupf Michael Trischan Jens Schäfer Sonja Beck Angela Quast Miguel Alexandre Angela Hobrig Jörg Witte Ken Duken Oona Devi Liebich Clemens von Ramin Andreas Rogenhagen Beatrice Manowski Rene Michaelsen Olli Dittrich Sylke Hannasky Kea Könneker Hansjoachim Krietsch August Schmölzer Andrea Kurmann Oliver Sauer Annett Renneberg Manfred Lehmann Michael Roll Wilfried Hochholdinger Lara Joy Körner Alexandra Kamp Sabine Radebold Heiner Stadelmann Traute Hoess Willi Herren Patricia Moresco Irene Schwarz Stephan Kampwirth Margarete Hamm Matthias Kupfer Henry König nafets@esuark.de atiram@reuerb.de aleahcim@netrem.de aleahpar@lled.de ... yrneh@ginök.de

37. Jacobi, Friedrich Heinrich --  Encyclopædia Britannica heinrich Franz Friedrich tietze University of St.Andrews Biography of thismathematician born in Austrian known for his research works on topology, http://www.britannica.com/eb/article-9043196

Home Browse Newsletters Store ... Subscribe Already a member? Log in Content Related to this Topic This Article's Table of Contents Friedrich Heinrich Jacobi Print this Table of Contents Shopping Price: USD $1495 Revised, updated, and still unrivaled. The Official Scrabble Players Dictionary (Hardcover) Price: USD $15.95 The Scrabble player's bible on sale! Save 30%. Merriam-Webster's Collegiate Dictionary Price: USD $19.95 Save big on America's best-selling dictionary. Discounted 38%! More Britannica products Jacobi, Friedrich Heinrich  Encyclopædia Britannica Article Page 1 of 1 Friedrich Heinrich Jacobi died March 10, 1819, Munich, Bavaria Friedrich Jacobi, engraving by N. Afinger By courtesy of the New York Public Library, Astor, Lenox and Tilden Foundations German philosopher, major exponent of the philosophy of feeling ( ) and a prominent critic of rationalism, especially as espoused by Benedict de Spinoza Jacobi, Friedrich Heinrich...

38. Oral Actinomyces Isolates Forming Red Colonies On Brain Heart Blood Agar Can Be Kneist, S., R. heinrichWeltzien, W. tietze, and L. Stösser. 1998. Stösser,L., S. Kneist, R. heinrich-Weltzien, T. Fischer, and W. tietze. 2000. http://jcm.asm.org/cgi/content/full/41/8/3729

This Article Abstract Full Text (PDF) Alert me when this article is cited ... Alert me if a correction is posted Services Similar articles in this journal Similar articles in PubMed Alert me to new issues of the journal Download to citation manager ... Books from ASM Press PubMed PubMed Citation Articles by Kaetzke, A. Articles by Eschrich, K. Journal of Clinical Microbiology, August 2003, p. 3729-3731, Vol. 41, No. 8 American Society for Microbiology Oral Actinomyces Isolates Forming Red Colonies on Brain Heart Blood Agar Can Be Unambiguously Classified as A. odontolyticus by Macroscopic Examination Annette Kaetzke, Susanne Kneist, and Klaus Eschrich Institute of Biochemistry, Medical Faculty, University of Leipzig, D-04103 Leipzig, Department of Preventive Dentistry, Medical Faculty, Friedrich-Schiller University Jena, D-99089 Erfurt, Germany Received 23 December 2002/ Returned for modification 9 May 2003/ Accepted 2 June 2003 ABSTRACT Top Abstract Introduction Materials and Methods Results and Discussion References The accurate classification of oral Actinomyces isolates as one species is difficult. Out of 18

39. Euler's Theorem As The Path Towards Geometry By Emil Saucan In The Nexus Network tietze, heinrich. 1965. Famous problems of mathematics. New York Greylock Press.Thurston, William P. 1990. Mathematical Education . Notices of AMS. http://www.nexusjournal.com/Saucan.html

Abstract. The course in Mathematics for Architecture Students at the Technion - Israel Institute of Technology needed to encapsulate as much formative knowledge as possible. Above and beyond the absolute importance of Euler's Formula relative to the corpus of classical mathematics and the role it played in its development (as in Betti numbers and Homology in general on one hand and the Global Gauss-Bonnet Theorem on the other hand), its simplicity, yet potency (in the sense of representing an jumping board, an opening towards a variety of subjects belonging to the fields of Topology and Geometry) recommend Euler's Theorem as natural candidate for a cornerstone, a red thread running along and directing the whole course. Euler's Theorem as the Path towards Geometry Emil Saucan Department of Mathematics, Technion - Israel Institute of Technology, Haifa, ISRAEL and Software Engineering Department, Ort Braude College, Karmiel, ISRAEL 1 INTRODUCTION T he roots of this article reside as much in curricular pragmatism as in programmatic, ideologic convictions. By curricular pragmatism we mean the anankian [ ] drive for one single course in Mathematics for Architecture Students at the Technion - Israel Institute of Technology, course that would encapsulate as much formative knowledge as deemed feasible. The need for an "Object Oriented", fast approach, compact course, arises from curricular constraints: once the second half of a tandem of three hours per week, semestrial courses (the first one comprised elements of Matrix Algebra and Introduction to Calculus), it was reduced to a single semestrial course, of two weekly hours (the Algebra-Calculus half being abandoned completely). Moreover, this reduction in scope was accompanied by an augmentation of the Syllabus: while the previous geometric course comprised only symmetry (albeit treated in some detail [

40. Cardano's Method Rather than try to write these expressions I will give you two references.heinrich tietze, Famous Problems of Mathematics, Graylock Press, New York 1965. http://mathcentral.uregina.ca/QQ/database/qq.09.95/gorski1.html

Mike Gorski mikegorski@onix.com Hi, my name's Mike. I'm doing a report on finding zeroes/roots of polynomials. I'm very interested in what they call Cardano's method/theorem for fining cubic roots. Although his name comes up several times all over the web nobody ever cites the actual formula. I was wondering if you knew what it was and could send/tell me it? Also, is there a formula for quartic equations? Anything u could give me will be gratefully accepted, thanx Mike. Hi Mike. Cardan's method is a way to express the roots of the cubic polynomial p(x) = x^3 + a x^2 + b x + c as a combination of square roots, cube roots and rational functions of a, b and c. Also finding the roots of a fourth degree polynomial can be reduced to the problem of solving a certain cubic. These expression are of theoretical interest since they contrast the case of polynomials of fifth degree and higher, where no such universal method can be given, but they are of almost no practical interest. Rather than try to write these expressions I will give you two references. Heinrich Tietze, Famous Problems of Mathematics, Graylock Press, New York 1965.

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