Lectures on Geometry

This is an introductory textbook on geometry (affine, Euclidean and projective) suitable for any undergraduate or first-year graduate course in mathematics and physics. In particular, several parts of the first ten chapters can be used in a course of linear algebra, affine and Euclidean geometry by...

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Bibliographic Details
Main Authors: Bădescu, Lucian, Carletti, Ettore (Author)
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2024, 2024
Edition:1st ed. 2024
Series:La Matematica per il 3+2
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • 1 Linear Algebra
  • 2 Bilinear and quadratic forms
  • 3 Affine Spaces
  • 4 Euclidean Spaces
  • 5 Affine hyperquadrics
  • 6 Projective Spaces
  • 7 Desargues' Axiom
  • 8 General Linear Projective Automorphisms
  • 9 Affine Geometry and Projective Geometry
  • 10 Projective hyperquadrics
  • 11 Bezout's Theorem for Curves of P 2(K)
  • 12 Absolute plane geometry
  • 13 Cayley-Klein Geometries