Differential Geometry and Its Applications

This book covers classical differential geometry with modern applications to a variety of disciplines including math and science. Surfaces, curvatures, geometry of curves, holonomy and the Gauss-Bonnet Theorem, minimal surfaces and complex variables, geodesics, least area surfaces of revolution, surfaces of Delaunay, and more. For mathematicians, scientists and other professionals wish to learn how classic differential theory applies to practical situations in math, science and industry.