Artmann Euclid—The Creation of Mathematics

1999
ISBN: 978-1-4612-1412-0
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 349 Seiten, eBook

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

Autoren/Hrsg.

Artmann, Benno

Weitere Mitwirkende

Artmann, B.

Inhaltsverzeichnis

Preface *Notes to the reader *General historical remarks *The Origins of Mathematics I: The Testimony of Eudemus *Euclid: Book I *Origin of Mathematics 2: Parallels and Axioms *Origins of Mathematics 3: Pythagoras of Samos *Euclid: Book II *Origin of Mathematics 4: Squaring the Circle *Euclid: Book III *Origin of Mathematics 5: Problems and Theories *Euclid: Book IV *Origin of Mathematics 6: The Birth of Rigor *Origin of Mathematics 7: Polygons after Euclid *Euclid: Book V *Euclid: Book VI *Origin of Mathematics 8:Be Wise, Generalize *Euclid: Book VII *Origin of Mathematics 9: Nicomachus and Diophantus *Euclid:Book VIII *Origins of Mathematics 10: Tools and Theorems *Euclid: Book IX *Origin of Mathematics 11: Math is Beautiful *Euclid: Book X *Origins of Mathematics 12: Incommensurability and Irrationality *Euclid: Book XI *Origins of Mathematics 13: The Role of Defiinitions *Euclid: Book XII *Origins of Mathematics 14: The Taming of the Infinite *Euclid: Book XIII *Origin of Mathematics 15: Symmetry Through the Ages *Origin of Mathematics 16: The Origin of the Elements *Notes *Bibliography *Index