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
Geometry and Billiardsby Serge Tabachnikov
Mathematical billiards describe the motion of a mass point in a domain with elastic reflections from the boundary. Billiards is not a single mathematical theory, it is rather a mathematician’s playground where various methods are tested.
(20432 views)
Euclid's 'Elements' Reduxby Daniel Callahan - starrhorse.com
Euclid's 'Elements' Redux is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time...
(12593 views)
Lectures on Discrete and Polyhedral Geometryby Igor Pak - UCLA
This book is aimed to be an introduction to some of our favorite parts of the subject, covering some familiar and popular topics as well as some old, forgotten, sometimes obscure, and at times very recent and exciting results.
(15369 views)
A. N. Whitehead's Geometric Algebraby Stephen Blake
This is a text on 3-d Euclidean computational geometry intended to be used in engineering applications. On the other hand, the methods of Whitehead's algebra enable us to readily deal with Euclidean and non-Euclidean spaces of any dimension.
(18553 views)