Differentiable Manifolds A Theoretical Physics Approach /

• Κύριος συγγραφέας: Torres del Castillo, Gerardo F. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2012.
• Θέματα: Mathematics.; Topological groups.; Lie groups.; Manifolds (Mathematics).; Complex manifolds.; Physics.; Mechanics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Mathematical Methods in Physics.; Topological Groups, Lie Groups.

This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work’s first three chapters introduce the basic concepts of the theory, such as differentiable maps, t...

Πίνακας περιεχομένων:

• Preface.-1 Manifolds.-  2 Lie Derivatives
• 3 Differential Forms
• 4 Integral Manifolds
• 5 Connections
• 6. Riemannian Manifolds
• 7 Lie Groups
• 8 Hamiltonian Classical Mechanics
• References.-Index.