02480cam a2200301 a 4500
16050611
20170731105601.0
100112s2010 nyua b 001 0 eng
2010001343
9780521896719
9781107603967
(OCoLC)ocn502674109
DLC
DLC
YDXCP
BWKUK
BWK
BWX
CDX
DLC
QA641
.B325 2010
516.36
22
BAR-E
Bar, Christian
Elementary differential geometry
Christian Bar.
New York :
Cambridge University Press,
©2010.
xii, 317 p. :
ill. ;
26 cm.
Includes bibliographical references and index.
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.
"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.
Geometry, Differential
Textbooks.
Cover image
http://assets.cambridge.org/97805218/96719/cover/9780521896719.jpg
7
cbc
orignew
1
ecip
20
y-gencatlg
ddc
BK
xj12 2010-01-12
xj12 2010-01-12 ONIX (telework) to STM
xe10 2010-10-06 2 copies rec'd., to CIP ver.
8761
8761
0
0
ddc
0
516_360000000000000_BARE
0
MATH
11574
IIIT
IIIT
GEN
2013-09-03
371.25
516.36 BAR-E
003058
2013-09-06
495
2013-09-06
BK
0778
2013-09-03
IIITD/LIC/BS/2012/08/40
2013-08-23
Indica Publishers & Distributors Pvt. Ltd.