Geometry by Its History

• Κύριοι συγγραφείς: Ostermann, Alexander (Συγγραφέας), Wanner, Gerhard (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2012.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.