Geometry by Its History (Undergraduate Texts in Mathematics) - Hardcover

Ostermann, Alexander; Wanner, Gerhard

Hardcover

ISBN 10: 3642291627 ISBN 13: 9783642291623

Publisher: Springer, 2012

Synopsis

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^thcentury.

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.

About this title

About the Author

Alexander Ostermann has published numerous research articles as well as several books with Springer. He is a professor in the Department of Mathematics at the University of Innsbruck, Austria.

Gerhard Wanner is the former President of Section VII of the Swiss Academy of Natural Sciences, former Head of Department of Mathematics at the University of Geneva, and former President of the Swiss Mathematical Society. He is the author of several books with Springer, including Analysis by its History, written together with Ernst Hairer.

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2012
• Language: English
• ISBN 10: 3642291627
• ISBN 13: 9783642291623
• Binding: Hardcover
• Number of pages: 452