Riemannian Geometry

A Beginners Guide, Second Edition
2. Auflage 2009
ISBN: 978-1-56881-471-1
Verlag: A K Peters/CRC Press

Buch, Englisch, 168 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 256 g

This classic text serves as a tool for self-study; it is also used as a basic text for undergraduate courses in differential geometry. The author's ability to extract the essential elements of the theory in a lucid and concise fashion allows the student easy access to the material and enables the instructor to add emphasis and cover special topics. The extraordinary wealth of examples within the exercises and the new material, ranging from isoperimetric problems to comments on Einstein's original paper on relativity theory, enhance this new edition.

Zielgruppe

Undergraduate students in differential geometry

Autoren/Hrsg.

Morgan, Frank

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie

Inhaltsverzeichnis

Preface 1 Introduction 2 Curves in Rn 3 Surfaces in R3 4 Surfaces in Rn 5 m-Dimensional Surfaces in Rn 6 Intrinsic Riemannian Geometry 7 General Relativity 8 The Gauss-Bonnet Theorem 9 Geodesics and Global Geometry 10 General Norms; Selected Formulas; Solutions to Selected Exercises; Bibliography; Symbol Index; Name Index; Subject Index

Über Autor(innen)

Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts.