(Ebook) Differential Geometry of Curves and Surfaces: Second Edition by Thomas F. Banchoff, Stephen Lovett ISBN 9781482247374, 9781482247343, 1482247372, 1482247348

(Ebook) Differential Geometry of Curves and Surfaces: Second Edition by Thomas F. Banchoff, Stephen Lovett ISBN 9781482247374, 9781482247343, 1482247372, 1482247348

Main subject categories: • Differential geometry • Analysis on manifolds • Fundamental equations of surfaces • Curves in n-dimensional space • Surfaces in n-dimensional spaceDifferential Geometry of Curves and Surfaces, Second Edition takes both an analytical/theoretical approach and a visual/intuitive approach to the local and global properties of curves and surfaces. Requiring only multivariable calculus and linear algebra, it develops students' geometric intuition through interactive computer graphics applets supported by sound theory. The book explains the reasons for various definitions while the interactive applets offer motivation for certain definitions, allow students to explore examples further, and give a visual explanation of complicated theorems. The ability to change parametric curves and parametrized surfaces in an applet lets students probe the concepts far beyond what static text permits. -- Provided by publisher.