Elementary differential geometry
Bar, Christian
creator
text
bibliography
nyu
New York
Cambridge University Press
©2010
2010
monographic
eng
xii, 317 p. : ill. ; 26 cm.
"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.
Machine 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.
Christian Bar.
Includes bibliographical references and index.
Geometry, Differential
Textbooks
QA641 .B325 2010
516.36 BAR-E
9780521896719
9781107603967
2010001343
http://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg
http://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg
DLC
100112
20170731105601.0
16050611