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.
Home page url
Download or read it online for free here:
by George W. Hart
Polyhedra have an enormous aesthetic appeal and the subject is fun and easy. This is a collection of thousands of virtual reality polyhedra for you to explore. There are hundreds here which have never been illustrated in any previous publication.
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.
by Florentin Smarandache - viXra.org
This book includes 255 problems of 2D and 3D Euclidean geometry plus trigonometry. The degree of difficulties of the problems is from easy and medium to hard. The solutions are at the end of each chapter. The book is especially a didactic material...
by W. H. Besant - George Bell and Sons
In the present Treatise the Conic Sections are defined with reference to a focus and directrix, and I have endeavoured to place before the student the most important properties of those curves, deduced, as closely as possible, from the definition.