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    Mathematik und Sport

    Olympische Disziplinen im mathematischen Blick

    Mathematik und Sport
    Olympische Disziplinen im mathematischen Blick

    Autoren:

    Verlag:
    Vieweg+Teubner Verlag  Weitere Titel dieses Verlages anzeigen

    Erschienen: Juli 2008
    Seiten: 165
    Sprache: Deutsch
    Preis: 32.99 €
    Illustration: 97 schw.-w. Abb.
    Maße: 214x152x18
    Einband: Gebundene Ausgabe
    ISBN: 9783834804778

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    Sachwortverzeichnis


    A

    Abstand, mittlerer 30 f.
    Abstandsquadrate 37
    - Abwurfgeschwindigkeit 70 f.
    Abwurfhöhe 52 ff.
    Abwurfwinkel 47 f., 54, 71 optimaler 57 800-m-Lauf 17
    Arbeiten, mathematisches 154
    Ausdauermuskulatur 44
    Ausgleichsgerade 37, 40


    B

    Badminton 78, 86
    Badmintonschläger 81
    Bälle 3 f., 101
    Ballkontakte 27 f.
    Ballsymmetrie 104
    Baseball 3 f., 86, 97, 101
    Baseball-Algorithmus 100
    Baseballspielfeld 86 f., 90
    Baseballsymmetrie 104
    Basketball 2, 4, 63 f., 101
    Basketballspiel 63
    Bayern München 23
    Bewegungsgleichung 32
    Blossom-Algorithmus 92 f.
    BMX-Rennen 133
    Borussia Mönchengladbach 22
    - Briefträgerproblem 91


    C

    C1 stetig 126
    Chancengleichheit 102
    Chinese-Postman-Problem 91
    - D Diamant 98 f.
    - Diedergruppen 120
    Diskuswurf 16
    Dodekaeder 115 f.
    Drucksensibilität 73
    Durchschnittsgeschwindigkeit 12


    E

    Eintracht Frankfurt 23
    Element
    elementares 106
    inverses 106
    Elfmeter 19, 22
    Elfmeterpunkt 25
    Elfmeterschießen 2, 19 f.
    Ellipse 142
    - Enveloppe 144
    Euler, Leonhard 89
    Eulerkreis 89, 92
    Eulerweg 89 f., 92
    Evolvente 130
    Exponentialfunktion 42
    Exponentialgleichung 41
    Extremwert 56
    - Extremwertaufgabe 50


    F

    fair 85
    Fairness 102
    Feidhockeyspielfeld 85
    FIFA Fussball-Weltmeisterschaft 1, 108
    Flächenansatz 21, 28
    Flugbahn 53
    Frauenfußball 33
    Freiwurf 2, 63
    Funktion, differenzierbare 48
    Funktionsgleichung 42
    Fußball 1, 4, 86, 101
    Fußballregeln 27
    Fußballspielfeld 87
    Fußbailsymmetrie 112
    Fußballtor 85


    G

    Gangschaltung 135
    Gärtnerkonstruktion 143
    Geradengleichung 9, 15
    Gerechtigkeit 102
    Geschwindner, Holger 63
    Gleichung, quadratische 54
    Gleichungssystem 39
    Glücksspiel 20
    Glücksspielmodell 20
    Goalkeeper 24
    Graph 89
    Graphentheorie 88 f.
    Gruppe
    - alternierende 110
    - zyklische 120


    H

    Handball 85, 101
    Haus vom Nikolaus 90
    Hochsprung 16 f.
    Hockey 86, 101 100m 16 100-m-Hürden 17 100-m-Lauf 9, 11 100-m-Sprint 17 100-m-Weltrekorde 35 110-m-Hürden 16
    - Hyperbel 12 f.


    I

    Ikosaeder 114
    - abgestumpftes 114
    Ikosidodekaeder 116


    J

    Jeu au Paume 101


    K

    Kanten 88
    Keeper 20
    Kettenschaltung 135
    K-Funktion 57
    Kleinsche Vierergruppe 105 f.
    Klinsmannjürgen 26
    - Knoten 88
    Kompetenz, allgemeine mathematische 152
    konfokal 142
    Kongruenzsatz 99
    Königsberger Brückenproblem 89
    Koordinatensystem 65
    Korbbögen 126
    Korrelation 38, 39
    Korrelationskoeffizient 38
    Kosinussatz 59
    Kugelstoßen 2, 4, 16 f., 47
    Kugelstoßzahl 57
    Kurvenvorgabe 127
    - K-Werte 57


    L

    Laufdisziplinen 43
    Laufleistung 11
    Laufrekorde 35
    Linien 85


    M

    Marathon 2
    Mathematisieren 154
    Maximalwinkel 68
    Mehrkampf 7
    Mehrkampfrichtlinien 7
    - Messtechnik 47, 58
    Minimalwinkel 67
    Mittelwertbildung 31
    Modell, lineares 42
    Modellbildung 151
    Modellieren 20, 151
    Modellierungskreislauf 152


    N

    Nabenschaltung 135
    Nationalstadion 141
    NBA 65
    Nebenbedingung 50
    Normierung 8
    Normlinie 129 f.
    Nowitzki, Dirk 2, 63
    Null-Punkte-Grenze 12
    - Nullstelle 53, 55


    O

    Offset 45
    Oktaeder 117
    Olympiastadion 4
    Olympische Spiele 1
    - Optimierung 74
    Optimierungsproblem 63


    P

    Parabel 53, 66
    Parallelogramm 134
    Pekinger Olympiastadion 3 ii-periodisch 146
    Platonische Körper 110, 114
    Potenzfunktion 16
    Produkt, maximales 50
    Punktetabelle 1, 7


    R

    Radfahren 4
    - Radsport 3, 133
    Rahmengeometrie 133
    Reaktionszeit 25
    Realmodell 154
    Regressionsgerade 38
    Ring 64
    Route-Inspection-Problem 91
    Rückschlagspiel 101


    S

    Satz des Pythagoras 25, 99
    Schaltschwinge 138
    Schaltwerk 137 f.
    Schlägerbespannung 77
    Schweinsteiger, Bastian 26 shuttlecock 101
    Siebenkampf 7, 17
    Situation, reale 153
    Situationsmodell 153
    - Softball 97
    Speerwurf 10, 14, 16 f.
    Spielbälle 102
    Spielfeld 4, 85 f.
    Spielfeldgröße 27
    Spielfeldmaße 85
    Spielfluss 27
    Stabhochsprung 16
    - Stadion, antikes 123
    - griechisches 123
    - römisches 123
    Standardabweichung 38
    Strafstoß 19
    Symmetrieachse 85, 105
    symmetrisch 85
    symmetrische Gruppe
    - der Ordnung 24 118


    T

    Tabelle, lineare 11
    Tabellenwerk 18 1500
    m 16
    Teamgeist 108
    Telstar 113
    Tennis 2, 4, 86, 101
    Tennisplatz 82, 85
    Tennisplatzgraph 92
    Tennisschläger 77, 81
    Tennisspielfeld 85, 87
    Tetraeder 110
    Tetraedergruppe 110
    Tischtennis 86, 101
    Torwart 20 f.
    Trapez 134


    U

    Umwerfer 135


    V

    Validierung 155
    Verknüpfung, innere 106
    Verwandlungshäufigkeit 20, 22 400
    m 16 400-m-Bahn 2, 4, 123 genormte 126
    Volleyball 101
    Volleyballfeld 88


    W

    Wandertempo 9
    Wasserball 101
    Weitsprung 16 f.
    Weitsprunggraph 17
    Weltrekorde 4
    Wertetabelle, lineare 12
    Wurfdisziplin 10
    Würfel 109, 117
    Würfelsymmetrie 117
    Wurfleistung 11
    Wurfparabel 71
    Wurfsektor 59
    Wurftechnik 47
    Wurfweite 2, 50, 58
    - Wurzelfunktion 15


    Z

    Zähligkeit 105
    Zehnkampf 4, 7
    - Zehnkampftabelle, normierte 8 10000-m-Lauf 129 200-m-Lauf 17