Pressley assumes the reader knows the main results of multivariate calculus and concentrates on the theory of the study of surfaces. Used for courses on surface geometry, it includes intersting and in-depth examples and goes into the subject in great detail and vigour. The book will cover three-dimensional Euclidean space only, and takes the whole book to cover the material and treat it as a subject in its own right.
Reihe
Auflage
1st ed. 2001. Corr. 2nd printing
Sprache
Verlagsort
Zielgruppe
Für höhere Schule und Studium
Lower undergraduate
Produkt-Hinweis
Illustrationen
Maße
Höhe: 24.4 cm
Breite: 17 cm
Dicke: 18 mm
Gewicht
ISBN-13
978-1-85233-152-8 (9781852331528)
DOI
10.1007/978-1-4471-3696-5
Schweitzer Klassifikation
Andrew Pressley is Professor of Mathematics at King's College London, UK.
1. Curves in the Plane and in Space.- 2. How Much Does a Curve Curve?.- 3. Global Properties of Curves.- 4. Surfaces in Three Dimensions.- 5. The First Fundamental Form.- 6. Curvature of Surfaces.- 7. Gaussian Curvature and the Gauss Map.- 8. Geodesics.- 9. Minimal Surfaces.- 10. Gauss's Theorema Egregium.- 11. The Gauss-Bonnet Theorem.- Solutions.- 1.- 2.- 3.- 4.- 5.- 6.- 7.- 8.- 9.- 10.- 11.
