Elementary Differential Geometry (PDF)
(Sprache: Englisch)
Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces.
The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame...
The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame...
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Elementary Differential Geometry focuses on the elementary account of the geometry of curves and surfaces.
The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame fields, covariant derivatives, Frenet formulas, curves, mappings, tangent vectors, and differential forms. The publication then examines Euclidean geometry and calculus on a surface. Discussions focus on topological properties of surfaces, differential forms on a surface, integration of forms, differentiable functions and tangent vectors, congruence of curves, derivative map of an isometry, and Euclidean geometry.
The manuscript takes a look at shape operators, geometry of surfaces in E, and Riemannian geometry. Concerns include geometric surfaces, covariant derivative, curvature and conjugate points, Gauss-Bonnet theorem, fundamental equations, global theorems, isometries and local isometries, orthogonal coordinates, and integration and orientation.
The text is a valuable reference for students interested in elementary differential geometry.
The book first offers information on calculus on Euclidean space and frame fields. Topics include structural equations, connection forms, frame fields, covariant derivatives, Frenet formulas, curves, mappings, tangent vectors, and differential forms. The publication then examines Euclidean geometry and calculus on a surface. Discussions focus on topological properties of surfaces, differential forms on a surface, integration of forms, differentiable functions and tangent vectors, congruence of curves, derivative map of an isometry, and Euclidean geometry.
The manuscript takes a look at shape operators, geometry of surfaces in E, and Riemannian geometry. Concerns include geometric surfaces, covariant derivative, curvature and conjugate points, Gauss-Bonnet theorem, fundamental equations, global theorems, isometries and local isometries, orthogonal coordinates, and integration and orientation.
The text is a valuable reference for students interested in elementary differential geometry.
Autoren-Porträt von Barrett O'Neill
Barrett O'Neill is currently a Professor in the Department of Mathematics at the University of California, Los Angeles. He has written two other books in advanced mathematics.
Bibliographische Angaben
- Autor: Barrett O'Neill
- 2014, 422 Seiten, Englisch
- Verlag: Elsevier Science & Techn.
- ISBN-10: 148326811X
- ISBN-13: 9781483268118
- Erscheinungsdatum: 12.05.2014
Abhängig von Bildschirmgröße und eingestellter Schriftgröße kann die Seitenzahl auf Ihrem Lesegerät variieren.
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- Größe: 19 MB
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Englisch
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