**Contemporary Mathematics**

Volume: 203;
1997;
296 pp;
Softcover

MSC: Primary 15; 16; 30; 53; 83;

Print ISBN: 978-0-8218-0607-4

Product Code: CONM/203

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-7794-4
Product Code: CONM/203.E**

List Price: $83.00

Individual Member Price: $66.40

# Geometry and Nature

Share this page *Edited by *
*Hanna Nencka; Jean-Pierre Bourguignon*

This volume is the outgrowth of a conference devoted to William K. Clifford entitled, “New Trends in Geometrical and Topological Methods”, which was held at the University of Madeira in July and August 1995. The aim of the conference was to bring together active workers in fields linked to Clifford's work and to foster the exchange of ideas between mathematicians and theoretical physicists. Divided into 6 one-day sessions, each session was devoted to a specific aspect of Clifford's work.

This volume is an attempt to bring the Clifford legacy in a new perspective to a larger community of mathematicians and physicists. New concepts, ideas, and results stemming from Clifford's work are discussed. Each article in the book is a self-contained paper that was presented at or submitted to the conference.

#### Table of Contents

# Table of Contents

## Geometry and Nature

- Contents v6 free
- List of Participants vii8 free
- Preface xiii14 free
- W. K. Clifford as a geometer xv16 free
- Part I. Clifford Algebras 118 free
- Part II. Riemannian Surfaces 3956
- Part III. Information Geometry 7996
- Part IV. Noncommutative Geometry 133150
- Part V. Cosmology and General Relativity 191208
- Part VI. Symplectic Geometry and Self-Similar Structures 239256
- Part VII: Field Theory 269286

#### Readership

Advanced graduate students, research mathematicians, mathematical physicists, astrophysicists, cosmologists, and statisticians interested in differential geometry, complex analysis, and algebra.