ENGLISH

Geometry by its history

By Alexander Ostermann , Gerhard Wanner (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2012
ISBN
9783642291630, 3642291635
DOI
10.1007/978-3-642-29163-0
Language
english
Format
PDF
Filesize
15 MB (15849461 bytes)
Series
Undergraduate Texts in Mathematics
Edition
1
Pages
440\443
Library
Kolxo3
Time added
2012-12-29 17:00:00
Geometry; Algebraic Geometry; History of Mathemati

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.

Similar books