Geschäftskunden Kundenprogramme
Vor Ort
Merkzettel Warenkorb
  • Produktbild: An Introduction to Differential Geometry with Applications to Elasticity
  • Produktbild: An Introduction to Differential Geometry with Applications to Elasticity

An Introduction to Differential Geometry with Applications to Elasticity

Fr. 138.00

inkl. gesetzl. MwSt., Versandkostenfrei

Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.10.2010

Verlag

Springer Netherland

Seitenzahl

209

Maße (L/B/H)

24/16/1.2 cm

Gewicht

354 g

Auflage

Softcover reprint of hardcover 1st edition 2005

Sprache

Englisch

ISBN

978-90-481-7085-2

Beschreibung

Rezension

From the reviews:



"This is a book about differential geometry and elasticity theory also published earlier as journal article. And, indeed it covers both subjects in a coextensive way that can not be found in any other book in the field. … the list of references containing more than 120 items is representative enough and the interested reader should be able to find them among these." (Ivailo Mladenov, Zentralblatt MATH, Vol. 1100 (2), 2007)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

19.10.2010

Verlag

Springer Netherland

Seitenzahl

209

Maße (L/B/H)

24/16/1.2 cm

Gewicht

354 g

Auflage

Softcover reprint of hardcover 1st edition 2005

Sprache

Englisch

ISBN

978-90-481-7085-2

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: GPSR Kontakt

Noch keine Bewertungen vorhanden

Verfassen Sie die erste Bewertung zu diesem Artikel

Helfen Sie anderen Kundinnen und Kunden durch Ihre Meinung.

Kundinnen und Kunden meinen

Bewertungen (0)
  • Produktbild: An Introduction to Differential Geometry with Applications to Elasticity
  • Produktbild: An Introduction to Differential Geometry with Applications to Elasticity
  • Preface;
    Chapter 1. Three-dimensional differential geometry: 1.1. Curvilinear coordinates, 1.2. Metric tensor, 1.3. Volume, areas, and lengths in curvilinear coordinates, 1.4. Covariant derivatives of a vector field, 1.5. Necessary conditions satisfied by the metric tensor; the Riemann curvature tensor, 1.6. Existence of an immersion defined on an open set in R3 with a prescribed metric tensor, 1.7. Uniqueness up to isometries of immersions with the same metric tensor, 1.8. Continuity of an immersion as a function of its metric tensor;
    Chapter 2. Differential geometry of surfaces: 2.1. Curvilinear coordinates on a surface, 2.2. First fundamental form, 2.3. Areas and lengths on a surface, 2.4. Second fundamental form; curvature on a surface, 2.5. Principal curvatures; Gaussian curvature, 2.6. Covariant derivatives of a vector field defined on a surface; the Gauss and Weingarten formulas, 2.7. Necessary conditions satisfied by the first and second fundamental forms: the Gauss and Codazzi-Mainardi equations; Gauss' theorema egregium, 2.8. Existence of a surface with prescribed first and second fundamental forms, 2.9. Uniqueness up to proper isometries of surfaces with the same fundamental forms, 2.10.Continuity of a surface as a function of its fundamental forms;
    Chapter 3. Applications to three-dimensional elasticity in curvilinear coordinates: 3.1. The equations of nonlinear elasticity in Cartesian coordinates, 3.2. Principle of virtual work in curvilinear coordinates, 3.3. Equations of equilibrium in curvilinear coordinates; covariant derivatives of a tensor field, 3.4. Constitutive equation in curvilinear coordinates, 3.5. The equations of nonlinear elasticity in curvilinear coordinates, 3.6. The equations of linearized elasticity in curvilinear coordinates, 3.7. A fundamental lemma of J.L. Lions, 3.8. Korn's inequalities in curvilinear coordinates, 3.9. Existence and uniqueness theorems in linearizedelasticity in curvilinear coordinates;
    Chapter 4. Applications to shell theory: 4.1. The nonlinear Koiter shell equations, 4.2. The linear Koiter shell equations, 4.3. Korn’s inequality on a surface, 4.4. Existence and uniqueness theorems for the linear Koiter shell equations; covariant derivatives of a tensor field defined on a surface, 4.5. A brief review of linear shell theories; References;
    Index.