Contents: Introduction; What is Geometry ; Geometry of Inner-Product Spaces; Linear Maps and the Euclidean Group; Adjoints of Linear Maps and the Spectral ; Differential Calculus on Inner-Product ;
Normed Spaces and Integration; Ordinary Differential Equations (aka 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. |