**Lectures on the Geometry of Manifolds**

by Liviu I. Nicolaescu

**Publisher**: World Scientific Publishing Company 2009**ISBN/ASIN**: 9812708537**ISBN-13**: 9789812708533**Number of pages**: 570

**Description**:

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, linear algebra and point-set topology.

Download or read it online for free here:

**Download link**

(3.4MB, PDF)

## Similar books

**Foliations and the Geometry of 3-manifolds**

by

**Danny Calegari**-

**Oxford University Press**

The book gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions.

(

**10873**views)

**Lectures on Polyhedral Topology**

by

**John R. Stallings**-

**Tata Institute of Fundamental Research**

These notes contain: The elementary theory of finite polyhedra in real vector spaces; A theory of 'general position' (approximation of maps), based on 'non-degeneracy'. A theory of 'regular neighbourhoods' in arbitrary polyhedra; etc.

(

**7732**views)

**Surgical Methods in Rigidity**

by

**F.T. Farrell**-

**Springer**

This book is an introduction to the topological rigidity theorem for compact non-positively curved Riemannian manifolds. It contains a quick informal account of the background material from surgery theory and controlled topology prerequesite.

(

**6366**views)

**Ends of Complexes**

by

**Bruce Hughes, Andrew Ranicki**-

**Cambridge University Press**

The book gathers together the main strands of the theory of ends of manifolds from the last thirty years and presents a unified and coherent treatment of them. It also contains authoritative expositions of mapping tori and telescopes.

(

**8044**views)