ENGLISH

Geometry by Its History

By Gerhard Wanner , Alexander Ostermann

Book information

Publisher
Springer
Year
2012
ISBN
3642291627, 9783642291623
Language
english
Format
PDF
Filesize
13 MB (13315634 bytes)
Series
Undergraduate Texts in Mathematics
Pages
440\452
Time added
2017-01-26 21:04:25

Description

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.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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