Euclid--The Creation of Mathematics / Edition 1

by Benno Artmann

Overview

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.

Product Details

ISBN-13:	9780387984230
Publisher:	Springer New York
Publication date:	06/10/1999
Edition description:	1st ed. 1999. Corr. 2nd printing 2001
Pages:	349
Product dimensions:	6.40(w) x 9.30(h) x 0.90(d)

Table of Contents

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

Editorial Reviews

B. Artmann

Euclid - The Creation of Mathematics

"The author invites the ‘lover of mathematics’ to have a peek, via a gentle introduction and presentation of Euclid’s Elements, with detours to previous Greek geometers, whose work has been incorporated in the Elements. The contents of the Elements are presented book by book . . . with full statements of the definitions, axioms, propositions, and proofs involved. There are . . . notes to subsequent development of Euclidean themes . . . justifications of steps of proof and of the sequence in which results appear . . . An original and pleasing feature of the book consists in the references to Greek architecture, which emphasize the pervasiveness of the concern for proportion in Greek culture, as well as the references to archaeological finds of dodecahedra- and icosahedra-shaped objects."—AMERICAN MATHEMATICAL SOCIETY

From the Publisher