A Modern Course on Curves and Surfaces
by Richard S. Palais
Publisher: virtualmathmuseum.org 2003
Number of pages: 163
Description:
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.
Download or read it online for free here:
Download link
(650KB, PDF)
Similar books
The Foundations of Geometry
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.
(17457 views)
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.
(17457 views)
Isometrica: A Geometrical Introduction to Planar Crystallographic Groups
by George Baloglou
Planar crystallographic groups are one of the very first mathematical creations of humankind. This book's goal is the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic.
(15264 views)
by George Baloglou
Planar crystallographic groups are one of the very first mathematical creations of humankind. This book's goal is the gradual unveiling of the structural and the mathematical that hides behind the visual and the artistic.
(15264 views)
A Course of Pure Geometry: Properties of the Conic Sections
by E.H. Askwith - Cambridge University Press
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
(12912 views)
by E.H. Askwith - Cambridge University Press
The book does not assume any previous knowledge of the Conic Sections, which are here treated on the basis of the definition of them as the curves of projection of a circle. Many of the properties of the Conic Sections are proved quite simply.
(12912 views)
Researches on Curves of the Second Order
by George Whitehead Hearn - Project Gutenberg
Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.
(10809 views)
by George Whitehead Hearn - Project Gutenberg
Researches on curves of the second order are given in this book, also on cones and spherical conics treated analytically, in which the tangencies of Apollonius are investigated, and general geometrical constructions deduced from analysis.
(10809 views)