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Alfred Gray Modern Differential Geometry Of Curves And Surfaces With Mathematica

Alfred Gray Modern Differential Geometry Of Curves And Surfaces With Mathematica -combines a traditional approach with the symbolic capabilities of mathematica to explain the classical theory of curves and surfaces. This thesis investigates the claim that there exists a compact set of similarly useful descriptors for the analysis of dynamic 4d surfaces by considering shape transition features occurring within the.this textbook explains the classical theory of curves and surfaces, how to define and compute standard geometric functions, and how to apply techniques from analysis. This thesis aims to find deformations between two planar closed curves, preserving the closeness by linearly interpolating the curvature of source and target curves, parameterized with respect. presenting theory while using mathematica in a complementary way, modern differential geometry of curves and.