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Geometry by Its History

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Ostermann, Alexander (Autor), Wanner, Gerhard (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2012.
Edición:1st ed. 2012.
Colección:Readings in Mathematics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.