Series: Undergraduate Texts in Mathematics
Subseries: Readings in Mathematics
Ostermann, Alexander, Wanner, Gerhard
2012, XII, 440 p.
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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 19^{th} century.
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.
Content Level » Upper undergraduate
Keywords » 51-01, 51-03, 01-01 - Euclidian geometry - analytic geometry - geometry - history - projective Geometry
Related subjects » Algebra - Geometry & Topology - History of Mathematical Sciences
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