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Mathematics - Geometry & Topology | Geometry by Its History

Geometry by Its History

Ostermann, Alexander, Wanner, Gerhard

2012, XII, 440 p.

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  • Valuable tool for teaching geometry with a strong emphasis of the historical development of the subject
  • Includes numerous examples, applications, exercises and figures
  • Stimulating and enjoyable reading for students in mathematics, physics, computer science and teachers alike

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 19th 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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