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.
| ISBN: | 9783642291623 |
| Publication date: | 12th April 2012 |
| Author: | Alexander Ostermann, Gerhard Wanner |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Hardback |
| Pagination: | 440 pages |
| Series: | Undergraduate Texts in Mathematics |
| Genres: |
Geometry Algebraic geometry History of mathematics |
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.
Geometry by Its History. Readings in Mathematics features in the following genres: Geometry, Algebraic geometry, History of mathematics
Geometry by Its History. Readings in Mathematics is available in Hardback
Geometry by Its History. Readings in Mathematics was written by Alexander Ostermann, Gerhard Wanner and published by Springer an imprint of Springer Berlin Heidelberg
Geometry by Its History. Readings in Mathematics has 440 pages
Yes it is part of Undergraduate Texts in Mathematics series