Elementary Differential Geometry

China Internet Development Report 2018: Blue Book of World Internet Conference The link between the physical world and its visualization is geometry.This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills in analysis and linear algebra to solve interesting geometric problems, which prepare students for more advanced study in mathematics and other scientific fields such as physics and computer science. The wide range of topics includes curve theory, a detailed study of surfaces, curvature, variation of area and minimal surfaces, geodesics, spherical and hyperbolic geometry, the divergence theorem, triangulations, and the Gauss�Bonnet theorem. The section on cartography demonstrates the concrete importance of elementary differential geometry in applications. Clearly developed arguments and proofs, colour illustrations, and over 100 exercises and solutions make this book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra. Additional ISBNs 0521896711, 0521721490, 0511728824, 9780521896719, 9780521721493, 9780511728822, 051173123X, 1282631446, 0511729774, 0511726481, 1139637835, 9780511731235, 9781282631441, 9780511729775, 9780511726484, 9781139637831Elementary Differential Geometry 1st Edition is written by Christian B�r and published by Cambridge University Press. ISBNs for Elementary Differential Geometry are 9781139637831, 1139637835 and the print ISBNs are 9780521721493, 0521721490. Additional ISBNs include 0521896711, 0521721490, 0511728824, 9780521896719, 9780521721493, 9780511728822, 051173123X, 1282631446, 0511729774, 0511726481, 1139637835, 9780511731235, 9781282631441, 9780511729775, 9780511726484, 9781139637831.