**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

**Synthetic Geometry of Manifolds**

by

**Anders Kock**-

**University of Aarhus**

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.

(

**7939**views)

**Projective Differential Geometry Old and New**

by

**V. Ovsienko, S. Tabachnikov**-

**Cambridge University Press**

This book provides a route for graduate students and researchers to contemplate the frontiers of contemporary research in projective geometry. The authors include exercises and historical comments relating the basic ideas to a broader context.

(

**14236**views)

**Combinatorial Geometry with Application to Field Theory**

by

**Linfan Mao**-

**InfoQuest**

Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.

(

**11895**views)

**Comparison Geometry**

by

**Karsten Grove, Peter Petersen**-

**Cambridge University Press**

This volume is an up-to-date panorama of Comparison Geometry, featuring surveys and new research. Surveys present classical and recent results, and often include complete proofs, in some cases involving a new and unified approach.

(

**8667**views)