Umfang:
1 Online-Ressource (VIII, 282 Seiten)
Ausgabe:
Reproduktion Issued also in print
ISBN:
9783111501857
,
9783111502236
Serie:
De Gruyter textbook
Inhalt:
This textbook offers a different approach to classical textbooks in Differential Geometry. It includes practical examples and over 300 advanced problems designed for graduate students in various fields, such as fluid mechanics, gravitational fields, nuclear physics, electromagnetism, solid-state physics, and thermodynamics. Additionally, it contains problems tailored for students specializing in chemical, civil, and electrical engineering and electronics. The book provides fully detailed solutions to each problem and includes many illustrations to help visualize theoretical concepts. The book introduces Frenet equations for plane and space curves, presents the basic theory of surfaces, and introduces differentiable maps and differentials on the surface. It also provides the first and second fundamental forms of surfaces, minimal surfaces, and geodesics. Furthermore, it contains a detailed analysis of covariant derivatives and manifolds. The book covers many classical results, such as the Lancret Theorem, Shell Theorem, Joachimsthal Theorem, and Meusnier Theorem, as well as the fundamental theorems of plane curves, space curves, surfaces, and manifolds
Anmerkung:
Issued also in print
,
In English
Weitere Ausg.:
ISBN 9783111500898
Weitere Ausg.:
Erscheint auch als print ISBN 9783111500898
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Aydin, Muhittin E., 1986 - Differential geometry Berlin : De Gruyter, 2024 ISBN 9783111500898
Weitere Ausg.:
ISBN 3111500896
Sprache:
Englisch
Schlagwort(e):
Differentialgeometrie
;
Frénet-Formel
;
Differenzierbare Abbildung
;
Fläche
;
Zweite Grundform
;
Differentialform
;
Riemannscher Raum
DOI:
10.1515/9783111501857
Mehr zum Autor:
Georgiev, Svetlin 1974-
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