000			01422 a2200193 4500
005			20180219103837.0
008			180130b xxu||||| |||| 00| 0 eng d
020			_a9781107603967
040			_cIIT Kanpur
041			_aeng
082			_a516.7 _bB23e
100			_aBar, Christian
245			_aElementary differential geometry _cChristian Bar
260			_bCambridge University Press _c2017 _aNew Delhi
300			_axii, 317p
520			_aThis 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. This book ideal for courses and self-study. The only prerequisites are one year of undergraduate calculus and linear algebra.
650			_aGeometry, Differential
942			_cBK
999			_c558490 _d558490