拉普拉斯小妖
2020-02-12 15:34:35
This is the definitive presentation of the history, development and
philosophical significance of non-Euclidean geometry as well as of the
rigorous foundations for it and for elementary Euclidean geometry,
essentially according to Hilbert. Appropriate for liberal arts students,
prospective high school teachers, math. majors, and even bright high
school students. The first eight chapters are mostly accessible to any
educated reader; the last two chapters and the two appendices contain
more advanced material, such as the classification of motions,
hyperbolic trigonometry, hyperbolic constructions, classification of
Hilbert planes and an introduction to Riemannian geometry.