41. Helmut Riemann [en] Homepage helmut Riemann German architect, Lubeck. by helmut hasse Dept.of Mathematics Pennsylvania State University; 1968. http://www.archinform.net/arch/899.htm

please click here to proceed

42. Classical Net - Music Of The Augustan Age - Dresden Recordings hasse Suite.Vivaldi Sonata for Cello and Continuo in B flat, RV47. helmut Koch,Olmar Suitner Conductors; Berlin Staatskapelle Orchestra. hasse La http://www.classical.net/music/comp.lst/articles/dresden/disco/hasse.html

Music of the Augustan Age Dresden Recordings Johann Adolf Hasse La Contadina Harmonia Mundi (Full price) HMC 905244 (1 CD [70'28]) Johann Adolf Hasse Sinfonia Ouverture d'Astarto (1726) La Contadina Graciela Oddone - soprano; Lorenzo Regazzo - baritone; Ensemble Arcadia/Attilio Cremonesi Cleofide Capriccio (Full price) (LP) C27 193/6 (four records); (Cassette) CC27 193/6; (LP) 10 193/6 (four discs: 231 minutes: DDD) Emma Kirkby (sop) Cleofide; Agnes Mellon (sop) Erissena; Derek Lee Ragin (alto) Poro; Dominique Visse (alto) Alessandro; Randall K. Wong (sop) Gandarte; David Cordier (alto) Timagene; Cappella Coloniensis / William Christie. Notes, text and translation included. Berlin Opera Composers - Capriccio (Full price) (LP) C27 127; (Cassette) CC27 127; (CD) 10 113 (59 minutes: DDD) Includes two arias: Lucio Papirio , DITTATORE-All'onormi rifletti LA CLEMENZA DI TITO Tardi s'avvede d'un tradimento Jochen Kowalski (alto); Berlin Chamber Orchestra / Max Pommer.Texts included. Songs Of Love And War - Dorian (Full price) (CD) DOR90104 (64 minutes: DDD) Includes: Pastorelle che piangete Julianne Baird (sop); Colin Tilney (hpd); Myron Lutzke (vc)

43. Lakatos Collection Authors H-K hasse, helmut, 1898 Algebra und Zahlentheorie Leipzig BG Teubner , 1952 (Enzyklopädieder mathematischen Wissenschaften mit Einschluss ihrer http://library-2.lse.ac.uk/collections/lakatos/lakatos_h.htm

Home Help Search Index ... LSEforYou You are here - Welcome to LSE Library What's in the Library? Electronic Library Lakatos Collection Authors H-K Haar, Dirk ter Old quantum theory / by D. Ter Haar Oxford, Pergamon Press [1967] (The Commonwealth and international library. Selected readings in physics). QC174 H11 LAK. Held in Archives Habermas, Jürgen. Legitimationsprobleme im Sp_atkapitalismus / Jurgen Habermas. 1 Aufl. [Frankfurt am Main] : Suhrkamp Verlag, [1973]. (Edition Suhrkamp. 5.). JC497 H11 LAK. Normal loan Habermas, Jürgen. Erkenntnis und Interesse / Jurgen Habermas. [Frankfurt am Main] : Suhrkamp, [1968]. (Theorie ; 2). BD163 H11 LAK. Normal loan Habermas, Jürgen. Erkenntnis und Interesse, mit einem neuen Nachwort / Jürgen Habermas. Frankfurt am Main : Suhkrkamp, 1973. (Suhrkamp Taschenbuch Wissenschaft ; 1). ISBN 3518076019 . BD163 H11 LAK. Normal loan Habermas, Jürgen. Technik und Wissenschaft als >Ideologie < / Jürgen Habermas. Frankfurt am Main : Suhrkamp Verlag, [1969]. (Edition Suhrkamp.). B945.M2984 H11 LAK. Held in Archives Habermas, Jürgen.

44. BIOGRAPHIES OF PAST NUMBER THEORISTS And VARIOUS ITEMS OF HISTORICAL INTEREST helmut hasse (MacTutor); In memoriam helmut hasse (Peter Roquette); helmuthasse (18981979) (summary of Günther Frei s article, by Efraim Halfon) http://www.numbertheory.org/ntw/N14.html

Biographies of past number theorists and various items of historical interest Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Aus der Geschichte der Zahlentheorie (Wolfgang Schwarz - pdf) Collected Works Collected papers of Peter Roquette , editors: Anthony V. Geramita and Paulo Ribenboim, Queens University Ouvres J.-P. Serre I-III , Springer 2003 , AMS Notices, March 2005 On the AMS Notices Publication of Krieger's Translation of Weil's 1940 Letter , by Serge Lang, AMS Notices, July 2005 Biographies The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician The mountains of Pi , an article about Gregory and David Chudnovsky, by Richard Preston The Life of Alexandre Grothendieck , part (a), AMS Notices October 2004 The Life of Alexandre Grothendieck , part (b), AMS Notices November 2004 Prizes John Tate awarded a Wolf Prize for 2003 SASTRA Ramanujan Prize Serre receives Abel prize , Notices of the AMS, Volume 50, Number 6, 2003 Serre awarded Abel Prize Interview with Jean-Pierre Serre , NAMS February 2004

45. Web Links For Chapter 6 Biographical information and a likeness of helmut hasse can be found at the http//hasse.mathematik.tumuenchen.de/hasse1_e.html (helmut hasse http://www.mhhe.com/math/advmath/rosen/student/webres/ch6links.mhtml

Web Links for Chapter 6 Section 6.1 Relations and their Properties Page 374 An introduction to relations and their properties can be found at the site of the Mathematics Department of the California State University at San Bernardino http://www.math.csusb.edu/notes/rel/rel.html (Notes on Relations) Section 6.2 n-ary Relations and Their Applications Page 385 You can learn about the relational model using the Dublin City University (Ireland) Web hypermedia database courseware at http://www.compapp.dcu.ie/databases/welcome.html (WWW Database Courseware) Section 6.5 Equivalence Relations Page 408 Equivalence relations and classes are covered in the on-line textbook Interactive Real Analysis developed by Bert Wachsmuth at Seton Hall University. This material can be found in the Sets and Relations of the text. The text can be found at http://www.shu.edu/projects/reals/index.html (Interactive Real Analysis) Equivalence relations are also discussed at the Cut-the-Knot site http://www.cut-the-knot.com/blue/equi.html (Equivalence Relations) Section 6.6 Partial Orders

46. Higher Algebra Problems helmut hasse Leipzig, Berlin 1935 Unknown binding. 175 pages. German. helmut hasse and Walter Klobe F. Ungar, New York 1954 Unknown binding. http://www.mathpropress.com/mathBooks/HigherAlgebraProblems.html

Higher Algebra Problems A Hilbert Space Problem Book Volume 19 of the series Graduate texts in mathematics Paul Richard Halmos Springer-Verlag , New York: 1982 Hardcover. 369 pages. ISBN 0-387-90685-1 LCCN 82-000763 Algebra lineal: preguntas y problemas N. Ch. Krutiskaya and A. A. Shishkin Mir , Moscow: date of publication unknown Hardcover. 160 pages. Spanish. çlgebra lineal. Preguntas y problemas N. Ch. Krutiskaya and A. A. Shishkin Mir , Moscow: date of publication unknown Paperback. 160 pages. Spanish. An Introduction to Hilbert Space and Quantum Logic A volume in the series Problem Books in Mathematics David W. Cohen Springer-Verlag , New York: 1989 Hardcover. 149 pages. ISBN 0-387-96870-9 Aufgaben und Lösungen zur linearen Algebra und analytischen Geometrie Josef Heinhold Hanser, Munich: 1970 Unknown binding. German. LCCN 74-580474 Aufgabensammlung zur höheren algebra Helmut Hasse Leipzig, Berlin: 1935 Unknown binding. 175 pages. German. LCCN 35-014279 Exercises in Basic Ring Theory Grigore Calugareanu and Peter Hamburg Kluwer Academic, Dordrecht: 1998

47. Prof. Dr. Helmut Föll hasse, G, CARSTENSEN, J., and FÖLL, H. Impedance Spectroscopy in the SiHF system H . Föll, M. Christophersen, J. Carstensen, G. hasse Formation and http://www.kielmat.com/Master_of_Science_/Staff/Prof__Dr__Helmut_Foll/prof__dr__

Curriculum Vitae 7/00 - now born in Backnang; Baden-Württemberg Elementary and High-School;(in Geisingen (now Freiberg/N) and Ludwigsburg; Baden-Württemberg Student of Physics; University of Stuttgart Thesis work at the Max-Planck -Institut for Metal Physics in Stuttgart and the University of Stuttgart (Advisor: Prof. Seeger/Prof. Wilkens) Post-doc at the MPI Stuttgart Post-doc; Cornell University; Mat. Science Dept. Visiting Scientist at the IBM T. J. Watson Res. Lab. in Yorktown Heights Various Positions with Siemens in Munich Professor (Chair for Material Science) and first appointed dean of the new Faculty of Engineering Elected Dean of the Faculty of Engineering Vice Dean and Professor (Chair for Material Science) Professor (Chair for Material Science) at the Faculty of Engineering "Teaching Award" of the State of Schleswig Holstein (DM 20.000.-)

48. Yamada Translate this page hasse, helmut. Aufgabensammlung zur hoheren Algebra. Berlin, W. de Gruyter, hasse, helmut. Hohere algebra. Berlin, W. de Gruyter, 1927-33. 2 v. 16 cm. http://www.lib.hit-u.ac.jp/service/bunko/yamada.htm

ŽR“c‹Ôˆê•¶ŒÉ–Ú˜^ ‚P‚X‚W‚P”N‚QŒŽ‚P‚T“ú”­s §186“Œ‹ž“s‘—§Žs’†2-1 TEL(0425)72-1101 ƒRƒƒj[ˆóü TEL(0423)94-1111 ¼@â@˜a@•v ŽR“c‹Ôˆêæ¶i1906-1974j‚ÌŽv‚¢o ˆé@–ì@@C @ÅŒã‚ɁCæ¶‚̏Š‘ ‘‚ð¬•½•ªŠÙ‚ÉŠñ‘¡‚³‚ꂽŒäˆâ‘°‚ƁC“úí‹Æ–±‘½–Z‚Ì‚È‚© ‚ð‚Æ‚­‚É‚±‚Ì•¶ŒÉ‚̐®—‚Ì‚½‚ß‚É“w—Í‚³‚ꂽŠÖŒWŽÒ‚Ì•ûX‚ÉŒú‚­Š´ŽÓ‚µ‚½‚¢B (1980E12E16j @1D‚±‚Ì•¶ŒÉ‚Ì•ª—ނ́CŽR“c‹Ôˆê‹³ŽöŽ©‚炪•ª—Þ‚µ‚½‚à‚Ì‚ðC‚»‚Ì‚Ü‚Ü“¥P‚µ‚Ä ‚¢‚éB @2DŠeX‚Ì•ª—Þ‚Ì’†‚́C—m‘‚Í’˜ŽÒ–¼i•ÒŽÒ–¼jC˜a‘‚͏‘–¼‚̃Aƒ‹ƒtƒ@ƒxƒbƒg ‡‚É”r—ñ‚µ‚Ä‚ ‚éB @3D‘ΏƎ–€iƒy[ƒW”E‘å‚«‚³“™j‚Ì‚ ‚Ƃɂ́C¬•½•ªŠÙ‚É‚¨‚¯‚鐿‹‹L†‚ª ‚‚¯‚ç‚ê‚Ä‚¢‚éB @4Dõˆø‚͐l–¼õˆøiŠÜC’c‘Ì–¼j‚̂ݍ쐬‚µ‚Ä‚ ‚éB @@AD—m‘‚Ì•” @@@1DAlgebra @@@2DLogic @@@3DMathematics @@@4DStatistics ... @@@8DMiscellanea @@BD˜a‘‚Ì•” @@@1D‘㐔 @@@2D˜_— @@@3D”Šw @@@4D“Œv ... @@@8D‚»‚Ì‘¼ @@CDŽGŽ‚Ì•” @@@1D—mŽGŽ @@@2D˜aŽGŽ —m‘‚Ì•” 1. Algebra. Aitken, Alexander Craig. @@Determinants and matrices. 8. ed. @Edinburgh, Oliver and Boyd, 1954. @@vii,144 p. 19 cm. (University @mathematical texts)@@710-236 Albert, A. Adrian.

49. Wingberg : Zeta-Funktionen Und L-Reihen Translate this page hasse, helmut Klassenkörpertheorie Ausarbeitung einer Vorlesung vom SS 1932und eines Vorlesungen über Klassenkörpertheorie / von helmut hasse. http://www.ub.uni-heidelberg.de/helios/fachinfo/www/math/kvv/ss2005/s-5.htm

Seminare Kay Wingberg : Zeta-Funktionen und L-Reihen Zeit: Do, 14:00 - 16:00 Ort: M HS 4 Vorbesprechung: Do, 17.02.05, 16:00 Uhr M HS 4 Zahlentheorie Zuordnung: Reine Mathematik Anmeldung Scheinerwerb Fortsetzung Themenvergabe Inhalt: Literatur: Serre, J.-P.: Cours d'Arithmétique (Presses Universitaires de France, 1970) Lang, S.: Algebraic Number Theory (Addison-Wesley, 1970) Neukirch, J.: Algebraische Zahlentheorie (Springer, 1992) Zielgruppe: Studenten der Mathematik im Hauptstudium Voraussetzungen: Literatur: Hilfe Serre, Jean-Pierre Cours d'arithmetique. - Paris : Presses Universitaires de France, 1970. - 188 S. - (¬Le¬ mathematicien ; 2) [UB] LN-U 1-1163 Serre, Jean-Pierre Cours d'arithmétique. - 1. éd. - Paris : Pr. Univ. de France, 1970. - 188 S. - (¬Le¬ Mathématicien ; 2) [MA] Serre [MA] Serre [MA] Serre Serre, Jean-Pierre ¬A¬ course in arithmetic / J.-P. Serre. - 6. print. - New York ; Berlin ; Heidelberg [u.a.] : Springer, 2002. - VIII, 115 S. - (Graduate texts in mathematics ; 7) ISBN 0-387-90040-3 [UB] LN-U 1-2399::(N,6)

50. Earliest Uses Of Symbols Of Number Theory helmut hasse (18981979) used G for the integers and ? (capital rho) for therationals in Höhere Algebra I and II, Berlin 1926. He kept to this notation in http://members.aol.com/jeff570/nth.html

Earliest Uses of Symbols of Number Theory Last updated: March 1, 2005 Congruence of numbers. The congruent symbol used in number theory was introduced in print in 1801 by Carl Friedrich Gauss (1777-1855) in Disquisitiones arithmeticae The citation above is from Disquisitiones arithmeticae (Leipzig, 1801), art. 2; Werke, Vol. I (Gottingen, 1863), p. 10 (Cajori vol. 2, page 35). However, Gauss had used the symbol much earlier in his personal writings (Francis, page 82). See MODULUS on Words page. The number of primes less than x. Edmund Landau used x ) for the number of primes less than or equal to x in 1909 in Handbuch der Lehre von der Verteilung der Primzahlen (Cajori vol. 2, page 36). Letters for the sets of rational and real numbers. The authors of classical textbooks such as Weber and Fricke did not denote particular domains of computation with letters. Richard Dedekind (1831-1916) denoted the rationals by R and the reals by gothic R in Stetigkeit und irrationale Zahlen Continuity and irrational numbers Works,

51. Harald Bohr Correspondence The correspondence between helmut hasse and Harald Bohr There is one letter from1926 written by hasse located at the library, Department of Mathematics http://www.math.ku.dk/ths/bohr_h/corresp.htm

Harald Bohr correspondence The destiny of Harald Bohr's correspondence List of major correspondents (more than 1 letter) List of minor correspondents The destiny of Harald Bohr's correspondence The few letters in the Harald Bohr Papers in Copenhagen is a very tiny fraction of the large amount of letters to and from Bohr which once existed. According to Bohr's son, Ole Bohr, Bohr kept the letters he received and organized them well until April 1940 where he destroyed most of them shortly after the German invasion of Denmark. He did that because he was anxious that the Germans should seize on his correspondence and misuse its information about German mathematicians, whom Bohr had helped to leave Germany. According to Asger Aaboe (Yale University), who has had contact with the surviving relatives, the left over of Bohr's collection of correspondence (among other things his correspondence with Godfrey H. Hardy) was kept by Bohr's wife Ulla Bohr for many years, but destroyed by her in the 1970s. There is probably no more correspondence kept by the surviving relatives, at least not any scientific correspondence, and the only part of Bohr's own collection of correspondence which has survived are the letters in the Harald Bohr Papers and some family correspondence (mainly letters to and from his brother Niels) kept in the Family correspondence at the Niels Bohr Archive Hence, the major part of the correspondence listed below is located in other collections. The correspondents are divided in two groups. The first group, which is given alphabetical in a table with links to more details, consists of correspondents where more than one letter to or from Bohr has been conserved. The second group consists of all the minor correspondents where only one letter to or from Bohr has been conserved.

52. Ivars Peterson's MathTrek -Prized Geometric Logic known as a hasse diagram, named for mathematician helmut hasse (18981979).A hasse diagram consists of dots, which represent the elements of a set; http://www.maa.org/mathland/mathtrek_4_2_01.html

Search MAA Online MAA Home Ivars Peterson's MathTrek April 2, 2001 Prized Geometric Logic Computer programs can handle all sorts of data, from sums of money in bank accounts to sensor readings from scientific instruments. In many cases, the data are a set of discrete elements, such as temperatures. Moreover, some elements of a set may be larger in value than others, or they may exhibit some other relationship that allows you to rank them or put them in order. Hasse diagram for the divisors of 42. A Hasse diagram consists of dots, which represent the elements of a set; and connecting lines, which represent the relationships among the elements. For a poset including the divisors of a given integer, the integer itself would be at the top of the diagram and its prime factors would be at the bottom. Research involving a link between posets and geometric figures was the focus of an award-winning project in the 2001 Intel Science Talent Search. Gabriel D. Carroll, a student at Oakland Technical High School in Oakland, Calif., titled his project "Homology of Narrow Posets." His work was based on the fact that, for a given a poset (often expressed as a Hasse diagram), it's possible to construct a geometric object that encodes the same relationships among the elements as the poset itself. Studying such geometric objects can provide insights into the corresponding posets, just as studying posets can provide insights into the corresponding geometric objects, Carroll notes.

53. A Guide To The H. S. Vandiver Papers, 1889-1977 hasse, helmut, 1898. Herstein, IN. Lefschetz, Solomon, 1884-1972 hasse,helmut, nine letters, see also box seventeen, folder five, 1926-1935 http://www.lib.utexas.edu/taro/utcah/00303/cah-00303.html

TARO Repository Browse List Print Version Raw XML File (104k) ... Accessing Materials Described Here TABLE OF CONTENTS Descriptive Summary Biographical Note Scope and Contents Organization ... Books: A Guide to the H. S. Vandiver Papers, 1889-1977 Descriptive Summary Creator Vandiver, Harry Shultz, 1882- Title: H. S. Vandiver Papers, Dates: Abstract This collection consists of correspondence (about 2350 items), research notes, bibliographies, lecture notes, notebooks, drafts of publications, reprints, and photographs documenting the career of H. S. Vandiver. Accession No. Extent 17 ft. of manuscript material, plus books Laguage Materials are written in English. Repository Archives of American Mathematics, Center for American History, The University of Texas at Austin Biographical Note H. S. Vandiver was a number theorist and member of The University of Texas at Austin faculty from 1925 until his retirement in 1966. Among other research interests, Vandiver was an authority on Fermat's last theorem. Born October 21 in Philadelphia, Pennsylvania

54. Encyclopedia: Helmut Hasse Other descriptions of helmut hasse. helmut hasse (pronounced HAHS uh) (25 August1898 26 December 1979) was a German mathematician working in algebraic http://www.nationmaster.com/encyclopedia/Helmut-Hasse

Supporter Benefits Signup Login Sources ... Pies Related Articles People who viewed "Helmut Hasse" also viewed: Local_global principle Valuation theory Algebraic geometry Algebraic structure ... Zariski topology What's new? Our next offering Latest newsletter Student area Lesson plans Recent Updates Mukluk Mukden Incident Mozart effect Miso ... More Recent Articles Top Graphs Richest Most Murderous Most Taxed Most Populous ... More Stats Encyclopedia: Helmut Hasse Updated 203 days 18 hours 48 minutes ago. Other descriptions of Helmut Hasse Helmut Hasse (pronounced HAHS uh) ( 25 August 26 December ) was a German mathematician working in algebraic number theory , known for fundamental contributions to class field theory , the application of p-adic numbers to local classfield theory and diophantine geometry Hasse principle ), and to local zeta functions . He was born in Kassel , and died in Ahrensburg After serving in the navy in World War I , he studied at the University of Göttingen , and then at Marburg under Kurt Hensel , writing a dissertation in 1921 containing the Hasse-Minkowski theorem , as it is now called, on quadratic forms over number fields . He then held positions at Kiel Halle and Marburg. He was

55. Ihr Buch-Preisvergleich Für Mathematik > Hasse, Helmut Translate this page Bücher aus der Kategorie hasse, helmut unter Mathematik günstig über unserenBuch-Preisvergleich erwerben! http://buch.preissuchmaschine.de/Antiquarische_Buecher/Mathematik/Nach_Autoren/H

Buch DVD Musik Finanzen ... Hilfe Suche nach Buch... 01.09.2005-23:53 Uhr Antiquarische Bücher Mathematik Nach Autoren Albrecht, Rudolf ... Nach Autoren Hasse, Helmut Titel Abbildung Preis suchen Volvo S70, C70 and V70 Service and Repair Manual: 1996-1999 (P to V) (Haynes Service and Repair Manuals) 31. Dezember 1999 [Mehr Details zum Produkt] Preisvergleich starten 1 Produkt gefunden Buch-Empfehlungen: Der Meister von Tess Gerritsen, Andreas Jäger September 2005 Illuminati von Dan Brown März 2003 Vor dem Frost von Henning Mankell August 2005 Weitere Empfehlungen Tintenblut Ausgesetzt Der Duden, Bd.1 : Duden Die deutsche Rechtschreibung Meteor ... ( BGB). Alle Preise sind Angaben des jeweiligen Anbieters inklusive Umsatzsteuer, zzgl. Versand - Alle Angaben ohne Gewähr metashopper Impressum Nutzungsbedingungen Presse ... Mitmachen

56. Ihr Buch-Preisvergleich Für Mathematik > Nach Autoren hasse, helmut Volvo S70, C70 and V70 Service and Repair Manual Haupt, Otto http://buch.preissuchmaschine.de/Antiquarische_Buecher/Mathematik/Nach_Autoren-m

Buch DVD Musik Finanzen ... Hilfe Suche nach Buch... 01.09.2005-23:53 Uhr Antiquarische Bücher Mathematik Nach Autoren Albrecht, Rudolf ... Mathematik Nach Autoren :: Kategorien :: Albrecht, Rudolf Behnke, Heinrich Demmig, Richard Gauss, Friedrich Gustav ... Simon, Hans Suchen nach Buch: :: Titel :: Albrecht, Rudolf Volvo S70, C70 and V70 Service and Repair Manual: ... Behnke, Heinrich Volvo S70, C70 and V70 Service and Repair Manual: ... ... ... weitere Buch-Empfehlungen: Der Meister von Tess Gerritsen, Andreas Jäger September 2005 Illuminati von Dan Brown März 2003 Vor dem Frost von Henning Mankell August 2005 Weitere Empfehlungen Tintenblut Ausgesetzt Der Duden, Bd.1 : Duden Die deutsche Rechtschreibung Meteor ... ( BGB). Alle Preise sind Angaben des jeweiligen Anbieters inklusive Umsatzsteuer, zzgl. Versand - Alle Angaben ohne Gewähr metashopper Impressum Nutzungsbedingungen Presse ... Mitmachen

57. L'algoritmo Di Collatz Translate this page e diffusa da helmut hasse, Stanislaw Ulam, S. Kakutani Il matematico tedescohelmut hasse, amico di Collatz, diffuse il problema noto anche con il nome http://utenti.quipo.it/base5/numeri/collaz.htm

HOME - BASE Cinque Appunti di Matematica ricreativa L'algoritmo di Collatz Una sequenza scoperta da Lothar Collatz e diffusa da Helmut Hasse, Stanislaw Ulam, S. Kakutani questa pagina contiene codice javascript può essere scaricata ed eseguita senza essere collegati ad internet Grazie a Peppe per averci ricordato questo problema. Il problema era già stato proposto da Gianvittorio Righi nelle Ricreazioni ricevute di Marzo 2001 (41. Ma perché sempre 1?) L'algoritmo di Collatz Scegli un numero intero. Se è pari, dividilo per due. Se è dispari, moltiplicalo per tre e aggiungi uno. Ricomincia da capo con il nuovo numero che hai ottenuto. Che succede? Ad esempio: partiamo da 7. E' dispari, quindi faccio 3x7+1=22. Pari, 22:2=11. Dispari, 11x3+1=34. Pari, 34:2=17. Dispari, 17x3+1=52. Pari, 26. Pari, 13. Dispari, 40. Pari, 20. Pari, 10. Pari, 5. Dispari, 16. Pari, 8. Pari, 4. Pari, 2.

58. Franz Lemmermeyer Peter Roquette, helmut hasse, Hamburg 1951. helmut hasse, Kurt Hensel, Marburg 1922.Kurt Hensel, Leopold Kronecker, Berlin 1884 http://www.fen.bilkent.edu.tr/~franz/anc.html

59. Collected Works In Mathematics And Statistics hasse, helmut, 18981979, Mathematische Abhandlungen, 3, QA 37.2 H35 1975, Killam.Hecke, Erich, 1887-1947, Mathematische Werke, 1, QA 3 H36 1970, Killam 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

60. Homepage Of Joachim Schwermer J. Schwermer Minkowski, Hensel, and hasse On the beginnings of the A Delicate Collaboration Adrian Albert and helmut hasse and the Principal Theorem http://www.mat.univie.ac.at/~schwermer/

Prof. Dr. Joachim Schwermer Nordbergstrasse 15 A-1090 Wien, AUSTRIA tel: ++43 / 1 / 4277 506 25 ++43 / 1 / 4277 506 01 [secretary] E-Mail: Joachim.Schwermer@univie.ac.at Office hour: Thursday 11.15-12.15 Research Interests Arithmetic of Algebraic Groups Automorphic Forms and L-functions Real and p-adic Lie Groups Geometry of Arithmetic Varieties History of Mathematics (especially 19th and 20th century) Activities Research Seminar Workshop on Arithmetic Groups and Automorphic Forms Workshop on the history of mathematics Recent publications J. Schwermer: Special cycles and automorphic forms on arithmetically defined hyperbolic 3-manifo lds , to appear in: Asian Journal of Mathematics (Special issue in honor of Armand Borel). J. Schwermer: Minkowski, Hensel, and Hasse - On the beginnings of the local-global principle , submitted. J. Schwermer, Della D. Fenster: A Delicate Collaboration: Adrian Albert and Helmut Hasse and the Principal Theorem in Division Algebras in the early 1930's , in press.

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