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Více informací o knize Fundamentals of Differential Geometry

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Anotace knihy

This is the new edition of Serge Lang's "Differential and Riemannian Manifolds." This text provides an introduction to basic concepts in differential topology, differential geometry, and differential equations, and some of the main basic theorems in all three areas: for instance, the existence, uniqueness, and smoothness theorems for differential equations and the flow of a vector field; the basic theory of vector bundles including the existence of tubular neighborhoods for a submanifold; the calculus of differential forms; basic notions of symplectic manifolds, including the canonical 2-form; sprays and covariant derivatives for Riemannian and pseudo-Riemannian manifolds; applications to the exponential map, including the Cartan-Hadamard theorem and the first basic theorem of calculus of variations.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Topology

• Plný název: Fundamentals of Differential Geometry
• Autor: Serge Lang
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 540
• EAN: 9780387985930
• ISBN: 038798593X
• ID: 04067075
• Nakladatelství: Springer-Verlag New York Inc.
• Hmotnost: 1000 g
• Rozměry: 240 × 164 × 36 mm
• Datum vydání: 21. September 2001

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