Geometry Its History by Alexander Ostermann

ISBN: 9783642291623

Published: April 12th 2012

Hardcover

440 pages


Description

Geometry  by  Its History by Alexander Ostermann

Geometry by Its History by Alexander Ostermann
April 12th 2012 | Hardcover | PDF, EPUB, FB2, DjVu, AUDIO, mp3, RTF | 440 pages | ISBN: 9783642291623 | 9.37 Mb

In this textbook the authors present first-year geometry roughly in the order in which it was discovered. The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recentMoreIn this textbook the authors present first-year geometry roughly in the order in which it was discovered.

The first five chapters show how the ancient Greeks established geometry, together with its numerous practical applications, while more recent findings on Euclidian geometry are discussed as well. The following three chapters explain the revolution in geometry due to the progress made in the field of algebra by Descartes, Euler and Gauss. Spatial geometry, vector algebra and matrices are treated in chapters 9 and 10. The last chapteroffers an introduction to projective geometry, which emerged in the19thcentury.Complemented by numerous examples, exercises, figures and pictures, the book offers both motivation and insightful explanations, and provides stimulating and enjoyable reading for students and teachers alike.



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