**Synthetic Geometry of Manifolds**

by Anders Kock

**Publisher**: University of Aarhus 2009**Number of pages**: 314

**Description**:

This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.

Download or read it online for free here:

**Download link**

(1.9MB, PDF)

## Similar books

**Global Theory Of Minimal Surfaces**

by

**David Hoffman**-

**American Mathematical Society**

The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.

(

**10773**views)

**Functional Differential Geometry**

by

**Gerald Jay Sussman, Jack Wisdom**-

**MIT**

Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.

(

**11390**views)

**Noncompact Harmonic Manifolds**

by

**Gerhard Knieper, Norbert Peyerimhoff**-

**arXiv**

We provide a survey on recent results on noncompact simply connected harmonic manifolds, and we also prove many new results, both for general noncompact harmonic manifolds and for noncompact harmonic manifolds with purely exponential volume growth.

(

**7182**views)

**Ricci Flow and the Poincare Conjecture**

by

**John Morgan, Gang Tian**-

**American Mathematical Society**

This book provides full details of a complete proof of the Poincare Conjecture following Grigory Perelman's preprints. The book is suitable for all mathematicians from advanced graduate students to specialists in geometry and topology.

(

**13237**views)