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.
Rezensionen / Stimmen
... an intuitive approach to Riemannian geometry based on surfaces in n-dimensional Euclidean spaces. ... This revision of the second edition includes many interesting exercises and solutions to selected exercises. ... The book is warmly recommended to specialists in mathematics, physicists and especially to PhD students interested in this topic.
-Jan Kurek, Zentralblatt MATH 1234
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Undergraduate students in differential geometry
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 9 mm
Gewicht
ISBN-13
978-1-56881-471-1 (9781568814711)
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Schweitzer Klassifikation
Frank Morgan is the Atwell Professor of Mathematics at Williams College in Williamstown, Massachusetts.
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
