Euclid-The Creation of Mathematics

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Sprache: Englisch

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Beschreibung

This is a book for all lovers of mathematics with a solid background
in high school geometry, from teachers and students to university
professors. For each of Euclid's thirteen Books, the author has given
a general description of the contents and structure of the Book, plus
one or two sample proofs.

Zusammenfassung

Inhaltsverzeichnis

1 General Historical Remarks.- 2 The Contents of the Elements.- 3 The Origin of Mathematics 1: The Testimony of Eudemus.- 4 Euclid Book I: Basic Geometry.- 5 The Origin of Mathematics 2: Parallels and Axioms.- 6 The Origin of Mathematics 3: Pythagoras of Samos.- 7 Euclid Book II: The Geometry of Rectangles.- 8 The Origin of Mathematics 4: Squaring the Circle.- 9 Euclid Book III: About the Circle.- 10 The Origin of Mathematics 5: Problems and Theories.- 11 Euclid Book IV: Regular Polygons.- 12 The Origin of Mathematics 6: The Birth of Rigor.- 13 The Origin of Mathematics 7: Polygons After Euclid.- 14 Euclid Book V: The General Theory of Proportions.- 15 Euclid Book VI:Similarity Geometry.- 16 The Origin of Mathematics 8: Be Wise, Generalize.- 17 Euclid Book VII: Basic Arithmetic.- 18 The Origin of Mathematics 9: Nicomachus and Diophantus.- 19 Euclid Book VIII: Numbers in Continued Proportion, the Geometry of Numbers.- 20 The Origin of Mathematics 10: Tools and Theorems.- 21 Euclid Book IX: Miscellaneous Topics from Arithmetic.- 22 The Origin of Mathematics 11: Math Is Beautiful.- 23 Euclid Book X: Incommensurable Magnitudes 23.1 Commensurability and Its Relation to Other Notions 227.- 24 The Origin of Mathematics 12: Incommensurability and Irrationality.- 25 Euclid Book XI: Solid Geometry.- 26 The Origin of Mathematics 13: The Role of Definitions.- 27 Euclid Book XII: Volume by Limits.- 28 The Origin of Mathematics 14: The Taming of the Infinite.- 29 Euclid Book XIII: Regular Polyhedra.- 30 The Origin of Mathematics 15: Symmetry Through the Ages.- 31 The Origin of Mathematics 16: The Origin of the Elements.- Notes.

Erscheinungsjahr:	2012
Fachbereich:	Geometrie
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	xvi 349 S.
ISBN-13:	9781461271345
ISBN-10:	1461271347
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Artmann, Benno
Illustrator:	B Artmann
Hersteller:	Springer Springer US, New York, N.Y.
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 20 mm
Von/Mit:	Benno Artmann
Erscheinungsdatum:	21.10.2012
Gewicht:	0,557 kg