Geometry by Its History

• Main Authors: Ostermann, Alexander (Author), Wanner, Gerhard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Algebraic geometry.; Geometry.; History.; Algebraic Geometry.; History of Mathematical Sciences.

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 wel...

Table of Contents:

• Preface
• Part I: Classical Geometry
• Thales and Pythagoras
• The Elements of Euclid
• Conic Sections
• Further Results on Euclidean Geometry
• Trigonometry
• Part II: Analytic Geometry
• Descartes' Geometry
• Cartesian Coordinates
• To be Constructible, or not to be
• Spatial Geometry and Vector Algebra
• Matrices and Linear Mappings
• Projective Geometry
• Solutions to Exercises
•  References
• Figure Source and Copyright
• Index.