**The Convenient Setting of Global Analysis**

by Andreas Kriegl, Peter W. Michor

**Publisher**: American Mathematical Society 1997**ISBN/ASIN**: 0821807803**ISBN-13**: 9780821807804**Number of pages**: 624

**Description**:

This book lays the foundations of differential calculus in infinite dimensions and discusses those applications in infinite dimensional differential geometry and global analysis not involving Sobolev completions and fixed point theory. Many applications are included: manifolds of smooth mappings, groups of diffeomorphisms, geodesics on spaces of Riemannian metrics, direct limit manifolds, perturbation theory of operators, and differentiability questions of infinite dimensional representations.

Download or read it online for free here:

**Download link**

(4MB, PDF)

## Similar books

**An Introduction to Gaussian Geometry**

by

**Sigmundur Gudmundsson**-

**Lund University**

These notes introduce the beautiful theory of Gaussian geometry i.e. the theory of curves and surfaces in three dimensional Euclidean space. The text is written for students with a good understanding of linear algebra and real analysis.

(

**6564**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.

(

**2937**views)

**Lectures on Minimal Surface Theory**

by

**Brian White**-

**arXiv**

The goal was to give beginning graduate students an introduction to some of the most important basic facts and ideas in minimal surface theory. Prerequisites: the reader should know basic complex analysis and elementary differential geometry.

(

**3457**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.

(

**7149**views)