MARC Record from Library of Congress

LEADER: 02290cam a2200265 a 4500
001 2010001343
003 DLC
005 20101012124418.0
008 100112s2010 nyua b 001 0 eng
010 $a 2010001343
020 $a9780521896719 (hardback)
020 $a9780521721493 (pbk.)
035 $a(OCoLC)ocn502674109
040 $aDLC$cDLC$dYDXCP$dBWKUK$dBWK$dBWX$dCDX$dDLC
050 00 $aQA641$b.B325 2010
082 00 $a516.3/6$222
100 1 $aBär, Christian.
245 10 $aElementary differential geometry /$cChristian Bär.
260 $aNew York :$bCambridge University Press,$cc2010.
300 $axii, 317 p. :$bill. ;$c26 cm.
504 $aIncludes bibliographical references and 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.
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.
650 0 $aGeometry, Differential$vTextbooks.
856 42 $3Cover image$uhttp://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg