81. Kommentiertes Vorlesungsverzeichnis Fortsetzung der Gruppentheorie sylow-Theorie; Fortsetzung der http://www.mathematik.uni-muenchen.de/~vvadmin/vv.html

Kommentiertes Vorlesungsverzeichnis Sommersemester 2004 Studienberatung: Herr Dr. B. Hanke, Di 14-15, Zi. 306, Nebenst. 4442 Fachdidaktik: Frau Dr. G. Studeny, Mo 11-13, Zi. 207, Nebenst. 4634 Master-Studiengang: Herr Dr. S. Wugalter, nach Vereinbarung, Zi. 405, Nebenst. 4405 Diplomstudiengang und den Masterstudiengang Vorlesungen Seminare Kolloquien und Sonderveranstaltungen ... Fachdidaktik und Didaktik der Mathematik Vorlesungen: AN = Analysis (Vordiplom) AG = Algebraische Grundstrukturen (Vordiplom) PM = Praktische Mathematik (Vordiplom) B. Leeb Osswald Richert P. Schuster ... B. Leeb Zeit und Ort: Inhalt: Vorkenntnisse: Schein: Literatur: Zeit und Ort: Inhalt: Schein: Literatur: Osswald Zeit und Ort: Inhalt: Vorkenntnisse: Schein: Literatur: Zeit und Ort: Inhalt: Vorkenntnisse: Schein: Literatur: Richert Zeit und Ort: P. Schuster Zeit und Ort: Inhalt: zugeschnitten. Schein: Literatur: Weitere Literatur wird im Laufe der Vorlesung bekanntgegeben. Pruscha Zeit und Ort: Inhalt: n http://www.mathematik.uni-muenchen.de/~pruscha/ Vorkenntnisse: Schein: Literatur: Heuser: Lehrbuch der Analysis 2 Forster: Analysis 3 Genaueres dazu in der Vorlesung.

82. Ma^itrise De Mathématiques Pures d un groupe abélien fini; Premier théorème de sylow. http://www.mmas.univ-metz.fr/~pasquale/maitriseweb.html

MAÎTRISE DE MATHEMATIQUES PURES Ile du Saulcy F - 57045 Metz Cedex 01 Responsable : Jean Ludwig Objectifs de la formation Organisation de la formation Contrôle des connaissances ... Calendrier et emploi-du-temps 2003/2004 OBJECTIFS DE LA FORMATION ORGANISATION DE LA FORMATION Semestre / UE Coeff. UE Contenu des enseignements CM TD TP totale D E D E D E 1er semestre espaces fonctionnels Total 1er semestre Analyse fonctionnelle - T. E. R (ou stage) Total D E = nombre de groupes EQUIPMENTS SPECIFIQUES OU COMMUNS CONTROLE DES CONNAISSANCES tableau COURS 2003/2004 (Enseignants : Raymond Mortini Benjamin Cahen (Enseignants : Jean-Pierre Croisille (Enseignant : Simone Gutt (Enseignant : Bachir Bekka (Enseignant : Patrick Florchinger Analyse fonctionnelle (Enseignants : Jean Ludwig (Enseignants : Georges Rhin (Enseignants : Tilmann Wurzbacher Nicolas Louvet (Enseignants : Chakib Bennis Angela Pasquale TER RESUMES DES COURS Notions topologiques fondamentales Bases-sub-bases Fonctions continues Topologies finales et initiales Espace produits, espaces quotients Espaces compacts Les espaces T j , j=1,2,3,4 Structure des e.v.t.l.c

83. News http://home.gelsen-net.de/ppose/mathe_aldi2_ss2002.html

Stand : 24.06.2002 KEINE PANIK : der Text wird kompletiert! Achtung, gegenüber der Vorlesung sind die Unterpunkte (1,2,...) durch (i,ii,...) ersetzt worden! news: Vorlesungen: - Paragraphen: III.5.1- Die angeführten Mathematiker: Inhalt: (Ü.1) Zu den Übungsaufgaben Kap. III Symmetrische Gruppen (5.1)(a-b) Notation (5.1)(b) Zykel; Transpositionen (5.2)(1-4) Bemn (5.2)(1) disjunkt (5.2)(2) paarweise disjunkt (5.2)(3) Typ; Partition (5.2)(4) Rechnen mit Zykelnotation; Multiplikation (5.3) Satz; Bsp (5.4) Cor (5.5) Satz; Bsp; Standgruppe; Signum (oder Vorzeichen) (5.6) Satz; alternierende Gruppe (5.7) Cor; Normalteiler vom Index (5.8) Cor; Bew; (5.9) die S3; 6 Konjugationsklassen; Klassengleichung (5.10) die Gruppe S4; 24 Konjugationsklassen (5.10) V4, die KLEINsche Vierergruppe - Paragraphen: III.5.11- Die angeführten Mathematiker: Inhalt: (5.11) die Gruppe A4 (5.12) Lemma; Bew; Bem (5.13) Lemma; Erinnerung; Bew (5.14) zurück zu A4; Folgerungen (5.15) die Gruppe S5 (5.16) die Gruppe S6 (5.17) Def; einfach

84. (Niels Henrik Abel, 1802 - 1829, ?) The summary for this Japanese page contains characters that cannot be correctly displayed in this language/character set. http://www.sci.hyogo-u.ac.jp/matsuyam/dic/mame_content.htm

$B%"! <(B) <$N?t3X ZL@$9$k(B. $B#4 <0$OBe?tE*$K2r$1$k(B. $B#5 <0(B x -x-1=0 $B$OBe?tE*$K2r$1$J$$(B. $B%"! $B$3$A$i(B $B$X(B. $B%(%8%W%HJ,?t(B 0$B$H(B1$B$N4V$NJ,?t$r(B, $BJ,Jl$,8_$$$K0[$J$kC10LJ,?t$NOB$H$7$F(B $BI=$7$?$b$N$G$"$k(B. $BNc$($P(B 2/3=1/2+1/6 $B$O%(%8%W%HJ,?tI= <($G$"$k(B. $B:#$+$iI4?t==G/A0$K%(%8%W%H$N%F! <%Y$GH/8+$5$l(B, $B%9%3%C%H%i%s%I$N%(%8%W%H3X $B!V(Bn $B$,(B4$B$h$jBg$-$$4q?t$N$H$-J,?t(B 4/n $B$O9b!9(B3$B8D$NC10LJ,?t$K$h$k%(%8%W%HJ,?tI= $B:GBg8xLs?t(B $B:GBg8xLs?t$H$O#2$D$N@0?t$N8xLs?t$NCf$G(B $B:GBg$N@0?t$N$3$H$G$"$k(B. $B#3$D0J>e$N@0?t$K$D$$$F$bF1MM$K:GBg8xLs?t$,Dj5A$5$l$k(B. GCD (Greatest Common Divisor) $B$H8F$V$3$H$,$"$k(B. $B:GBg8xLs?t$r5a$a$k$K$O(B $B%f! $B$,8zN(E*$G$"$k(B. $B%7%m! <(B) $B%7%m! $B$3$A$i(B $B$X(B. a $B$,@0?t$G(B b $B$, $B%P! <%s%5%$%I(B (William Burnside, 1852$B!A(B1927, $B%$%.%j%9(B) $BM-8B72O@$NEZBf$rC[$$$?%Q%$%*%K%"$G$9(B. <%s%5%$%I$N;E;v$OB?4t$K$o$?$C$FM-8B72O@$KBg$-$J1F6A$r(B $BM?$($F$$$^$9(B. $B;d$N:G=i$NO@J8$b%P!

85. Math 113: Introduction To Abstract Algebra, Fall 2002 Math 113 Introduction to Abstract Algebra Fall 2002. General Information.Time and Place TuTh 111230, 50 Birge Hall (Notice room change!) http://math.berkeley.edu/~maschenb/113-fall-02/math113.html

Math 113: Introduction to Abstract Algebra Fall 2002 General Information Time and Place: TuTh 11-12:30, 50 Birge Hall (Notice room change!) Course Text A First Course in Abstract Algebra , Second edition, by J. Rotman (Click here for a list of errata to the textbook.) Instructor: Matthias Aschenbrenner E-mail address: maschenb@math.berkeley.edu Homepage: http://www.math.berkeley.edu/~maschenb Office: 713 Evans Hall Office Phone: Office Hours: Tu 3-4:30 Graduate Student Instructor: Gautam Borooah e-Mail address: gautam@math.berkeley.edu Discussion Section: Mo 9-10 in 2 Evans, Tu 10 -11 in 3105 Etcheverry, We 11-12 in 329 Le Conte. Office hours: Mo 12-1, Tu 1-2, We 2-3 all in 1020 Evans. Downloading files from this website requires software to display PDF files, such as Acrobat Reader or Ghostview Course Outline Besides the preliminary material, the course basically consists of two parts: I. Groups, and II. Commutative rings and polynomials. (We will not seriously treat field theory in this course, this being done in Math 114, nor will we talk about non-commutative rings.) More precisely, we intend to cover the following material:

86. Combinatorics: Enumerations And Designs Links Electronic Journal of Combinatorics Combinatorics.net Peter LudwigSylow History of Mathematics Last updated 9.20am on March 12, 2004. http://www.mast.queensu.ca/~math402/

Combinatorics: Enumerations and Designs Math 402/802: Winter 2004 Instructor: Ram Murty Lectures: Monday 3.30-4.20, Wednesday 2.30-3.20 and Thursday 4.30-5.20. Location: Jeffery Hall, room 116. Prerequisites: Math 212, Math 280 or equivalent. Textbook: Combinatorics, Techniques and Algorithms by Peter Cameron , Cambridge University Press. You can pick up the book from the campus bookstore. Grading: 4 assignments and 1 midterm exam worth 20% each. Queen's University: Code of Honor TA: Sebastian Cioaba Description of the course: Course Outline: Week1 - January 5: Subsets, partitions and permutations. Week2 - January 12: Recurrence relations and generating functions. Week3 - January 19: More generating functions, Catalan numbers. Week4 - January 26: Week 5 - February 2: Posets. Week6 - February 9: Week7 - February 23: Group actions, Burnside's lemma. Week8 - March 1: The necklace problem. Week9 - March 8: Polya's enumeration theorem. Assignments: The midterm exam will be on March 1st between 3.30 and 4.30pm. The room is Jeffery Hall 101. Assignment 1 Solutions 1 Assignment 2 Assignment 3 ... Assignment 5 Links: Electronic Journal of Combinatorics Combinatorics.net

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