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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Allg. & Lexika Turning Points in the History of Mathematics
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Turning Points in the History of Mathematics
Hardy Grant, Israel Kleiner (Broschiert, Englisch)
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Beschreibung
This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution. Studying these breakthroughs, transitions, and revolutions, their stumbling-blocks and their triumphs, can help illuminate the importance of the history of mathematics for its teaching, learning, and… appreciation. Some of the turning points considered are the rise of the axiomatic method (most famously in Euclid), and the subsequent major changes in it (for example, by David Hilbert); the “wedding,” via analytic geometry, of algebra and geometry; the “taming” of the infinitely small and the infinitely large; the passages from algebra to algebras, from geometry to geometries, and from arithmetic to arithmetics; and the revolutions in the late nineteenth and early twentieth centuries that resulted from Georg Cantor’s creation of transfinite set theory. The origin of each turning point is discussed, along with the mathematicians involved and some of the mathematics that resulted. Problems and projects are included in each chapter to extend and increase understanding of the material. Substantial reference lists are also provided. Turning Points in the History of Mathematics will be a valuable resource for teachers of, and students in, courses in mathematics or its history. The book should also be of interest to anyone with a background in mathematics who wishes to learn more about the important moments in its development. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
16.04.2016
Sprache
Englisch
EAN
9781493932634
Herausgeber
Springer US
Serien- oder Bandtitel
Compact Textbooks in Mathematics
Sonderedition
Nein
Autor
Hardy Grant, Israel Kleiner
Seitenanzahl
109
Auflage
1
Einbandart
Broschiert
Schlagwörter
Axiomatics, History of Calculus, History of Mathematics, Mathematics Education, Non-Euclidean Geometry, Philosohpy of Mathematics
Thema-Inhalt
PBX - Geschichte der Mathematik
JNU - Fachspezifischer Unterricht
PB - Mathematik
PBW - Angewandte Mathematik
PBM - Geometrie
PBF - Algebra
Höhe
235 mm
Breite
15.5 cm
Hersteller: Humana, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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