000			02485nam a22003017a 4500
001			16050611
005			20240506101222.0
008			100112s2010 nyua b 001 0 eng
010			_a 2010001343
020			_a9780521896719
020			_a9781107603967
035			_a(OCoLC)ocn502674109
040			_aDLC _cDLC _dYDXCP _dBWKUK _dBWK _dBWX _dCDX _dDLC
050	0	0	_aQA641 _b.B325 2010
082	0	0	_a516.36 _222 _bBAR-E
100	1		_aBar, Christian
245	1	0	_aElementary differential geometry _cby Christian Bar
260			_aNew York : _bCambridge University Press, _c©2010.
300			_axii, 317 p. : _bill. ; _c26 cm.
504			_aIncludes bibliographical references and index.
505	8		_aMachine generated contents note: Preface; Notation; 1. Euclidean geometry; 2. Curve theory; 3. Classical surface theory; 4. The inner geometry of surfaces; 5. Geometry and analysis; 6. Geometry and topology; 7. Hints for solutions to (most) exercises; Formulary; List of symbols; References; Index.
520			_a"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"--Provided by publisher.
650		0	_aGeometry, Differential _vTextbooks.
856	4	2	_3Cover image _uhttp://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg
906			_a7 _bcbc _corignew _d1 _eecip _f20 _gy-gencatlg
942			_2ddc _cBK _02
999			_c8761 _d8761