A Modern Course on Curves and Surfaces
by Richard S. Palais
Publisher: virtualmathmuseum.org 2003
Number of pages: 163
Contents: What is Geometry; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral Theorem; Differential Calculus on Inner-Product Spaces; Normed Spaces and Integration; Ordinary Differential Equations (ODE); Linear ODE and Numerical Methods; The Theorem of Frobenius; Differenttable Parametric Curves; Curves in 3-Space; The Fundamental Forms of a Surface; The Fundamental Theorem of Surface Theory.
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by John Casey, Euclid - Longmans, Green, and Co.
This edition of the Elements of Euclid is intended to supply a want much felt by teachers at the present day - the production of a work which, while giving the original in all its integrity, would also contain the modern conceptions and developments.
by William Gallatly - F. Hodgson
The author expresses his expectation, that these novel and interesting theorems some British, but the greater part derived from French and German sources will widen the outlook of our mathematical instructors and lend new vigour to their teaching.
by Parker Manning Henry - The MacMillan Company
Contents: The Foundations Of Four Dimensional Geometry; Points And Lines; Triangles; Planes; Convex Polygons; Tetrahedrons; Hyperplanes; Convex Pyramids And Pentahedroids; Space Of Four Dimensions; Hyperpyramids And Hypercones; etc.
by David Hilbert - Project Gutenberg
Axioms were uncovered in Euclid's geometry. These discoveries were organized into a more rigorous axiomatic system by David Hilbert in his Grundlagen der Geometrie (1899) which contained his definitive set of axioms for Euclidean geometry.