000 01859nam a22003017a 4500
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020 _a9781848828902
020 _a9781447175551 (pbk.)
_c€ 34.99
040 _bENG
_cIISER-BPR
_dIISER-BPR
041 _aENG
082 _a516.36
_bPRE
_223rd
100 _aPressley, Andrew
_95514
222 _aMathematics
245 _aElementary differential geometry
250 _a2nd ed.
260 _aLondon :
_bSpringer-Verlag London Limited,
_cc2012.
300 _axii, 473 p. :
_bill. ;
_c23cm.
440 _aSpringer Undergraduate Mathematics Series
_95515
504 _aIncludes illustrations, appendices, hints to selected exercises, solutions and subject index.
520 _aElementary Differential Geometry presents the main results in the differential geometry of curves and surfaces suitable for a first course on the subject. Prerequisites are kept to an absolute minimum – nothing beyond first courses in linear algebra and multivariable calculus – and the most direct and straightforward approach is used throughout. New features of this revised and expanded second edition include: *A chapter on non-Euclidean geometry, a subject that is of great importance in the history of mathematics and crucial in many modern developments. The main results can be reached easily and quickly by making use of the results and techniques developed earlier in the book. *Coverage of topics such as: parallel transport and its applications; map colouring; holonomy and Gaussian curvature. *Around 200 additional exercises, and a full solutions manual for instructors, available via www.springer.com
650 _aMathematics
650 _aGeometry
650 _aAnalytic geometries
650 _aDifferential and integral geometry
942 _2ddc
_cBK
999 _c4274
_d4274