02742cam 2200313 a 45000010009000000050017000090080041000260100017000670200019000840200018001030350024001210400047001450500022001920820022002141000019002362450054002552600053003093000034003625040051003965050303004475201127007506500039018778560084019169060045020009420012020459550106020579990015021639520250021781605061120170731105601.0100112s2010 nyua b 001 0 eng a 2010001343 a9780521896719 a9781107603967 a(OCoLC)ocn502674109 aDLCcDLCdYDXCPdBWKUKdBWKdBWXdCDXdDLC00aQA641b.B325 201000a516.36222bBAR-E1 aBar, Christian10aElementary differential geometry cChristian Bar. aNew York :bCambridge University Press,cĂ2010. axii, 317 p. :bill. ;c26 cm. aIncludes bibliographical references and index.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. 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. 0aGeometry, DifferentialvTextbooks.423Cover imageuhttp://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg a7bcbccorignewd1eecipf20gy-gencatlg 2ddccBK bxj12 2010-01-12cxj12 2010-01-12 ONIX (telework) to STMaxe10 2010-10-06 2 copies rec'd., to CIP ver. c8761d8761 00102ddc406516_360000000000000_BARE708MATH911574aIIITbIIITcGENd2013-09-03g371.25o516.36 BAR-Ep003058r2013-09-06v495w2013-09-06yBKe0778f2013-09-03jIIITD/LIC/BS/2012/08/40k2013-08-23xIndica Publishers & Distributors Pvt. Ltd.