5000 Jahre Geometrie - neues Buch

EAN (ISBN-13): 9783662045008
ISBN (ISBN-10): 3662045001
Erscheinungsjahr: 2013
Herausgeber: Springer-Verlag GmbH

Buch in der Datenbank seit 2017-01-26T08:07:54+01:00 (Zurich)
Detailseite zuletzt geändert am 2024-03-26T22:30:31+01:00 (Zurich)
ISBN/EAN: 9783662045008

ISBN - alternative Schreibweisen:
3-662-04500-1, 978-3-662-04500-8
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: christoph scriba, christoph peter, schreiber alf
Titel des Buches: 5000 jahre geometrie, 400 jahre, jahre oeg, jahre sum, mal jahre

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Daten vom Verlag:

Autor/in: Christoph J. Scriba
Titel: Vom Zählstein zum Computer; 5000 Jahre Geometrie - Geschichte Kulturen Menschen
Verlag: Springer; Springer Berlin
596 Seiten
Erscheinungsjahr: 2013-07-02
Berlin; Heidelberg; DE
Sprache: Deutsch
39,99 € (DE)

EA; E107; eBook; Nonbooks, PBS / Mathematik/Geometrie; Geometrie; Verstehen; Analysis; Archimedes; Dürer; Escher; Euclid; Geometrie; Geschichte; Mathematik; Wissenschaftsgeschichte; A; Geometry; Technology and Engineering; Life Sciences; Humanities and Social Sciences; Physical Sciences; Mathematics and Computing; Mathematics and Statistics; Ingenieurswesen, Maschinenbau allgemein; Biowissenschaften, allgemein; Interdisziplinäre Studien; Mathematik und Naturwissenschaften; Mathematik; BC

Ein spannender Überblick über die Entwicklung von Konzepten und Erkenntnissen der Geometrie von der Frühgeschichte über die Antike, die Bauhüttenbücher des Mittelalters und die Renaissancezeit bis zur Gegenwart." archimedes "Die Fülle des Stoffes ist beeindruckend." Spektrum der Wissenschaften "Allen an Mathematik Interessierten ist dieses Buch sehr zu empfehlen. Ganz besonders gilt diese Empfehlung den Mathematik-Lehrerinnen und -Lehrern: Es gibt garantiert etwas, was für Sie neu und interessant ist und wodurch Sie Anregungen für Ihren Unterricht bekommen." mathemaik.de "Ich gratuliere den Autoren herzlich zu dem großen Wurf, der Ihnen mit dem wundervollen "Geschichten"-Buch gelungen ist. Das Buch ist in der ganzen Anlage originell. Die Ausstattung empfinde ich als die eben nötige Fassung für so ein Juwel." 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Aus diesem Grunde ist auch die Entwick lung der Geometrie in anderen Kulturen - vornehmlich in den orientalischen Kulturen der Antike, in den islamischen Ländern sowie in Indien, China und Japan - ausführlicher als üblich behandelt. Tabellen am Anfang der Kapitel geben Einblick in wichtige politische und kulturelle Ereignisse der behandelten Kulturkreise bzw. Epochen, in Tabellen am Ende sind jeweils die wesentlichen Inhalte der darin entwickelten Geometrie stichwort artig zusammengefaßt. Darüber hinaus werden Sichtweisen von Mathematikern des Altertums oder des Mittelalters mit mathematischen Erkenntnissen der Neuzeit verglichen und Bezüge zur zeitgenössischen Mathematik und verwandten Wissenschaften her gestellt, z. B. Bezüge zur Informatik in der Beschreibung der "algorithmischen Leistung" Euklids. Zum anderen werden die Spezifika geometrischer Betrach tung in verschiedenen Epochen und Kulturkreisen herausgestellt und der Wan del von Inhalten, Methoden und Betrachtungsweisen der Geometrie im Laufe der Jahrhunderte anschaulich beschrieben, etwa der Wandel der Geometrie als Protophysik im dreidimensionalen Raum zur Theorie n-dimensionaler oder gar unendlich-dimensionaler Räume. Die Zusammenhänge der Geometrie mit an deren Teilgebieten der Mathematik - z. B. mit Algebra, Analysis und Stocha stik - werden erörtert. Erfrischende Einschübe mit biographischen Schlaglich tern und Hinweisen auf unerwartete Zusammenhänge sowie die Textauszüge im Anhang beleben die Lektüre dieses Buches. Die Kapitel 1 bis 4 mit Ausnahme des Teilkapitels 2. 3 (Euklid) stammen aus der Feder des Mathematikhistorikers Dr. Christoph J.";}}}i:1;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"04";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:846:"0 Einleitung.- 1 Die Anfänge.- 2 Griechenland.- 3 Orient.- 4 Das europäische Mittelalter.- 5 Renaissance.- 6 Das 17. und 18. Jahrhundert.- 7 Das 19. Jahrhundert.- 8 Das 20. Jahrhundert.- A Anhang: Ausgewählte Originaltexte.- A.1 Platon: Staat.- A.2 Archimedes: Einleitung zur Abhandlung über Spiralen.- A.3 Papst Gregor der Große: Erwähnung der Feldmeßkunst.- A.4 Das altchinesische Chou Pei Suan Ching.- A.5 Cassiodor Senator: Institutiones.- A.6 Vorrede von A. Dürer an W. Pirckheimer.- A.7 Alfred Meißner (1822 – 1885): Geschichte meines Lebens (1884).- A.8 Vorrede von F. Wolff.- A.9 Hermann v. Helmholtz: Uber den Ursprung und die Bedeutung der geometrischen Axiome.- A.10 E. A. Abbott: Flatland.- A.11 Th. Storm: Der Schimmelreiter (1888).- A.12 K. Fladt: Euklid (1927).- Personenregister mit Lebensdaten.- Abbildungsverzeichnis.";}}}i:2;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"06";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"05";}s:5:"CHILD";a:9:{i:0;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:35:"Aus den Rezensionen zur 2. Auflage:";}i:1;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:503:"‘‘Das vorliegende Buch gibt einen Überblick über die geometrischen Vorstellungen und Erkenntnisse der Menschen von der Urgesellschaft bis hin zu den komplexen mathematischen wie auch künstlerischen Ideen des 20. Jahrhunderts. ... Aufgaben am Ende jeden Kapitels laden den Leser ein, sich an den Problemen der alten Meister selber zu versuchen. Für die 2. Auflage wurden … neueste Forschungsergebnisse eingearbeitet und … geometrische Vorstellungen in amerikanischen Frühkulturen erweitert.";}i:2;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:18:"(in: MATHDI, 2006)";}i:3;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:2:" ";}i:4;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:35:"Aus den Rezensionen zur 2. Auflage:";}i:5;a:1:{s:4:"NAME";s:1:"p";}i:6;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:675:"‘‘Die Projektgruppe ‘Geschichte der Mathematik‘ … legt … einen überaus lebendigen Überblick über eines der zentralen Teilgebiete der Mathematik vor. … Als besonders instruktiv erweisen sich die jedem Abschnitt beigegebenen Aufgaben. Die Beispiele … lassen in vielen Fällen eindrucksvoll die Entwicklung der geometrischen Denkweise erkennen. … Weiters ist in der Neuauflage ein Sachverzeichnis angefügt. Das … Buch ist eine Fundgrube an geometrischen ‘Geschichten‘ im besten Wortsinn. Es kann jedem an Geometrie Interessierten … wärmstens empfohlen werden. Darüber hinaus ist es auch kulturwissenschaftlich und historisch hoch einzuschätzen.";}i:7;a:1:{s:4:"NAME";s:1:"p";}i:8;a:2:{s:4:"NAME";s:1:"p";s:5:"CDATA";s:91:"(F. Manhart, in: IMN - Internationale Mathematische Nachrichten, 2006, Issue 203, S. 38 f.)";}}}}}i:3;a:2:{s:4:"NAME";s:11:"TextContent";s:5:"CHILD";a:3:{i:0;a:2:{s:4:"NAME";s:8:"TextType";s:5:"CDATA";s:2:"05";}i:1;a:2:{s:4:"NAME";s:15:"ContentAudience";s:5:"CDATA";s:2:"00";}i:2;a:3:{s:4:"NAME";s:4:"Text";s:5:"ATTRS";a:1:{s:10:"textformat";s:2:"06";}s:5:"CDATA";s:889:"Ein spannender Überblick über die Entwicklung von Konzepten und Erkenntnissen der Geometrie von der Frühgeschichte über die Antike, die Bauhüttenbücher des Mittelalters und die Renaissancezeit bis zur Gegenwart." archimedes "Die Fülle des Stoffes ist beeindruckend." Spektrum der Wissenschaften "Allen an Mathematik Interessierten ist dieses Buch sehr zu empfehlen. Ganz besonders gilt diese Empfehlung den Mathematik-Lehrerinnen und -Lehrern: Es gibt garantiert etwas, was für Sie neu und interessant ist und wodurch Sie Anregungen für Ihren Unterricht bekommen." mathemaik.de "Ich gratuliere den Autoren herzlich zu dem großen Wurf, der Ihnen mit dem wundervollen "Geschichten"-Buch gelungen ist. Das Buch ist in der ganzen Anlage originell. Die Ausstattung empfinde ich als die eben nötige Fassung für so ein Juwel." 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Traumhafte Strände, blaues Meer, weißer Sand, Palmen und Sonnenuntergänge wie sie schöner nicht sein können. Dieser Kalender gehört zu den CALVENDO-Topsellern. PREMIUM-LINIE mit Kunstdrucken im Hochglanzformat in Museumsqualität. Stabile Rückwand mit 2 innovativen Einstecktaschen für eine optimale Präsentation an der Wand EINZELFERTIGUNG mit hochwertigen Materialien in Deutschland (Made in Germany) Damit die Papierbogen glatt an der Wand hängen hat dieser hochwertige Kalender innovative Einstecktaschen. Sie schützen die großen Blätter vor Luftfeuchte-Effekten. Papier ist ein natürliches Material. Die Fasern reagieren auf Raumklimaschwankungen. 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