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Differential Geometry
Frenet Equations and Differentiable Maps
Taschenbuch von Muhittin E. Aydin (u. a.)
Sprache: Englisch

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Beschreibung

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.

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.

Über den Autor

Muhittin Evren Aydin
a mathematician who works on various aspects of mathematics. Currently he focuses on differential geometry, Riemannian geometry, fractional calculus, microeconomics, and applications of differential geometry.

Svetlin G. Georgiev
is a mathematician who works on various aspects of mathematics. Currently he focuses on ordinary and partial differential equations, differential geometry, dynamic geometry on time scales, integral equations on time scales, theory of distributions and harmonic analysis.

Details
Erscheinungsjahr: 2024
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: VIII
282 S.
44 farbige Illustr.
44 col. ill.
0 b/w and 0 col. tbl.
ISBN-13: 9783111500898
ISBN-10: 3111500896
Sprache: Englisch
Einband: Klappenbroschur
Autor: Aydin, Muhittin E.
Georgiev, Svetlin G.
Hersteller: Walter de Gruyter
de Gruyter, Walter, GmbH
Abbildungen: 44 col. illustrations
Maße: 238 x 171 x 20 mm
Von/Mit: Muhittin E. Aydin (u. a.)
Erscheinungsdatum: 03.09.2024
Gewicht: 0,5 kg
Artikel-ID: 129099531
Über den Autor

Muhittin Evren Aydin
a mathematician who works on various aspects of mathematics. Currently he focuses on differential geometry, Riemannian geometry, fractional calculus, microeconomics, and applications of differential geometry.

Svetlin G. Georgiev
is a mathematician who works on various aspects of mathematics. Currently he focuses on ordinary and partial differential equations, differential geometry, dynamic geometry on time scales, integral equations on time scales, theory of distributions and harmonic analysis.

Details
Erscheinungsjahr: 2024
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: De Gruyter Textbook
Inhalt: VIII
282 S.
44 farbige Illustr.
44 col. ill.
0 b/w and 0 col. tbl.
ISBN-13: 9783111500898
ISBN-10: 3111500896
Sprache: Englisch
Einband: Klappenbroschur
Autor: Aydin, Muhittin E.
Georgiev, Svetlin G.
Hersteller: Walter de Gruyter
de Gruyter, Walter, GmbH
Abbildungen: 44 col. illustrations
Maße: 238 x 171 x 20 mm
Von/Mit: Muhittin E. Aydin (u. a.)
Erscheinungsdatum: 03.09.2024
Gewicht: 0,5 kg
Artikel-ID: 129099531
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