Lectures on the geometry of manifolds /

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"The goal of this book is to introduce the reader to some of the most frequently used techniques in modern global geometry. Suited to the beginning graduate student willing to specialize in this very challenging field, the necessary prerequisite is a good knowledge of several variables calculus...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Nicolaescu, Liviu I.
Format: Electronic eBook
Language:Inglés
Published: New Jersey : World Scientific, ©2007.
Edition:2nd ed.
Subjects:
Geometry, Differential.
Manifolds (Mathematics)
Géométrie différentielle.
Variétés (Mathématiques)
MATHEMATICS > Geometry > Differential.
Geometry, Differential
Online Access:Texto completo
Table of Contents:
  • 1. Introduction
  • 2. Natural constructions on manifolds
  • 3. Calculus on manifolds
  • 4. Riemannian geometry
  • 5. Elements of the calculus of variations
  • 6. The fundamental group and covering spaces
  • 7. Cohomology
  • 8. Characteristic classes
  • 9. Classical integral geometry
  • 10. Elliptic equations on manifolds
  • 11. Dirac operators.

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