A First Course in Differential Geometry: Surfaces in Euclidean Space

ISBN-13: 9781108424936 / Angielski / Twarda / 2019 / 272 str.

John Bolton; L. M. Woodward

Opis

With detailed explanations and numerous examples, this textbook covers the differential geometry of surfaces in Euclidean space.

Recenzje

'This is an attractive candidate as a text for an undergraduate course in classical differential geometry and should certainly be given serious consideration by any instructor teaching such a course.' Mark Hunacek, Department of Mathematics, Iowa State University

Spis treści

Preface; 1. Curves in Rn; 2. Surfaces in Rn; 3. Smooth maps; 4. Measuring how surfaces curve; 5. The Theorema Egregium; 6. Geodesic curvature and geodesics; 7. The Gauss–Bonnet theorem; 8. Minimal and CMC surfaces; 9. Hints or answers to some exercises; Index.