Elementary Differential Geometry presents the primary leads to the differential geometry of curves and surfaces appropriate for a primary course on the topic. Conditions are stored to an absolute minimal – nothing past first programs in linear algebra and multivariable calculus – and probably the most direct and easy strategy is used all through. New options of this revised and expanded second version embrace:a chapter on non-Euclidean geometry, a topic that’s of nice significance within the historical past of arithmetic and essential in lots of trendy developments. The primary outcomes could be reached simply and shortly by making use of the outcomes and methods developed earlier within the book. Protection of subjects reminiscent of: parallel transport and its purposes; map colouring; holonomy and Gaussian curvature.
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