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Geometry by Its History

Geometry by Its History

Paperback

General MathematicsGeometry

ISBN10: 3642444695
ISBN13: 9783642444692
Publisher: Springer
Published: May 9 2014
Pages: 440
Weight: 1.38
Height: 0.91 Width: 6.14 Depth: 9.21
Language: English

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 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 chapter offers an introduction to projective geometry, which emerged in the 19thcentury.

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Ostermann, Alexander

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Geometry