Buch, Englisch, 349 Seiten, Format (B × H): 161 mm x 241 mm, Gewicht: 1530 g
ISBN: 978-0-387-98423-0
Verlag: Springer
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Zielgruppe
Professional/practitioner
Fachgebiete
- Mathematik | Informatik Mathematik Geometrie Euklidische Geometrie
- Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Naturwissenschaften, Formalen Wissenschaften & Technik
- Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte
- Interdisziplinäres Wissenschaften Wissenschaften: Allgemeines Geschichte der Human- und Sozialwissenschaften
Weitere Infos & Material
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.
