Geometry and Differential Geometry
Reference documents in Geometry and Differential Geometry.
Documents in Geometry and Differential Geometry
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The only book that introduces differential geometry through a combination of an intuitive geometric foundation, a rigorous connection with the standard formalisms, computer exercises with Maple, and a problems-based approach.
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This open access book covers the main topics for a course on the differential geometry of curves and surfaces. There is a strong focus on variational problems, ranging from elastic curves to surfaces that minimize area, or the Willmore functional.
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This open access book offers an innovative way to learn the differential geometry needed as a foundation for a deep understanding of general relativity or quantum field theory as taught at the college level.
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This book introduces the differential geometry of curves and surfaces in three-dimensional Euclidean space. The subject is presented in its simplest, most essential form, but with many explanatory details, figures and examples, and in a manner that conveys the geometric significance and theoretical and practical importance of the different concepts, methods and results involved.
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This is one of the first books on a newly emerging field of Discrete Differential Geometry (DDG) and an excellent way to access this exciting area. It surveys the fascinating connections between discrete models in differential geometry and complex analysis, integrable systems and applications in computer graphics.
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An emerging field of Discrete Differential Geometry (DDG) aims at the development of discrete equivalents of notions and methods of classical differential geometry. No knowledge of differential geometry is expected, although some familiarity with curves and surfaces can be helpful.
