A first course in differential geometry. Surfaces in Euclidean space

✍ Scribed by Bolton J., Woodward L.M

• Publisher: Cambridge University Press
• Year: 2019
• Tongue: English
• Leaves: 273
• Category: Library

✦ Table of Contents

A First Course in DifferentialGeometry......Page 3
Brief Contents......Page 5
Contents......Page 6
Preface......Page 9
1 Curves in Rn......Page 11
2 Surfaces in Rn......Page 37
3 Tangent planes and the first fundamental form......Page 60
4 Smooth maps......Page 92
5 Measuring how surfaces curve......Page 119
6 The Theorema Egregium......Page 153
7 Geodesic curvature and geodesics......Page 169
8 The Gauss–Bonnet Theorem......Page 203
9 Minimal and CMC surfaces......Page 223
10Hints or answers to some exercises......Page 258
11 Index......Page 270