Euclid—The Creation of Mathematics

Benno Artmann

in Springer Books from Springer

Date: 1999
ISBN: 978-1-4612-1412-0
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Chapters in this book:

Ch Chapter 1 General Historical Remarks

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Ch Chapter 10 The Origin of Mathematics 5: Problems and Theories

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Ch Chapter 11 Euclid Book IV: Regular Polygons

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Ch Chapter 12 The Origin of Mathematics 6: The Birth of Rigor

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Ch Chapter 13 The Origin of Mathematics 7: Polygons After Euclid

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Ch Chapter 14 Euclid Book V: The General Theory of Proportions

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Ch Chapter 15 Euclid Book VI: Similarity Geometry

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Ch Chapter 16 The Origin of Mathematics 8: Be Wise, Generalize

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Ch Chapter 17 Euclid Book VII: Basic Arithmetic

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Ch Chapter 18 The Origin of Mathematics 9: Nicomachus and Diophantus

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Ch Chapter 19 Euclid Book VIII: Numbers in Continued Proportion, the Geometry of Numbers

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Ch Chapter 2 The Contents of the Elements

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Ch Chapter 20 The Origin of Mathematics 10: Tools and Theorems

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Ch Chapter 21 Euclid Book IX: Miscellaneous Topics from Arithmetic

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Ch Chapter 22 The Origin of Mathematics 11: Math Is Beautiful

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Ch Chapter 23 Euclid Book X: Incommensurable Magnitudes

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Ch Chapter 24 The Origin of Mathematics 12: Incommensurability and Irrationality

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Ch Chapter 25 Euclid Book XI: Solid Geometry

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Ch Chapter 26 The Origin of Mathematics 13: The Role of Definitions

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Ch Chapter 27 Euclid Book XII: Volumes by Limits

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Ch Chapter 28 The Origin of Mathematics 14: The Taming of the Infinite

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Ch Chapter 29 Euclid Book XIII: Regular Polyhedra

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Ch Chapter 3 The Origin of Mathematics 1: The Testimony of Eudemus

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Ch Chapter 30 The Origin of Mathematics 15: Symmetry Through the Ages

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Ch Chapter 31 The Origin of Mathematics 16: The Origin of the Elements

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Ch Chapter 4 Euclid Book I: Basic Geometry

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Ch Chapter 5 The Origin of Mathematics 2: Parallels and Axioms

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Ch Chapter 6 The Origin of Mathematics 3: Pythagoras of Samos

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Ch Chapter 7 Euclid Book II: The Geometry of Rectangles

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Ch Chapter 8 The Origin of Mathematics 4: Squaring the Circle

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Ch Chapter 9 Euclid Book III: About the Circle

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DOI: 10.1007/978-1-4612-1412-0

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