A Modern Course on Curves and Surfaces

Small book cover: A Modern Course on Curves and Surfaces

A Modern Course on Curves and Surfaces

Publisher: virtualmathmuseum.org
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:
Download link
(650KB, PDF)

Similar books

Book cover: The Foundations of GeometryThe Foundations of Geometry
by - 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.
Book cover: Geometry: From Ancient to ModernGeometry: From Ancient to Modern
by - National University of Singapore
Contents: Pythagoras' theorem; Pythagorean triples; commensurable and incommensurable quantities; Eudoxus' theory of proportion; method of exhaustion; continued fractions; the surface area of a sphere; the method; regular polyhedra; symmetries; etc.
Book cover: Theory of Symmetry and OrnamentTheory of Symmetry and Ornament
by - Matematicki Institut
This work is a comparative analysis of the theory of discrete and visually presentable continuous symmetry groups in the plane E2 or in E2\{O}: Symmetry Groups of Rosettes, Friezes and Ornaments, Similarity Symmetry Groups in E2, etc.
Book cover: Advanced Geometry for High Schools: Synthetic and AnalyticalAdvanced Geometry for High Schools: Synthetic and Analytical
by - Copp, Clark
Contents: Theorems of Menelaus and Ceva; The Nine-Point Circle; Simpson's Line; Areas op Rectangles; Radical Axis; Medial Section; Miscellaneous Theorems; Similar and Similarly Situated Polygons; Harmonic Ranges and Pencils; etc.