1: Introduction 2: Some background material 3: A few basic topics 4: Deformations 5: Mappings between spaces 6: Some more general topics 7: A class of constructions to consider 8: Geometric structures and some topological configurations Appendix A. A few side comments References Index
Professor Stephen Semmes, Mathematics Department, Rice University, Houston.
"The purpose of the book under review is to present perspectives
for the development of the theory of spaces that have 'decent
calculus' like the spaces supporting Poincare inequalities. . .
.The book is written in a very informal style. There are almost no
theorems or proofs, just questions and elaborated comments. One of
the features of most of the mathematical books and papers is that
the reader is forced to spend hours on checking painful details in
order to follow the text. However, a consequence of the informal
style of Semmes is that there is no such need here. On the contrary
one can enjoy reading the whole book in a couple of evenings
without any danger of being exhausted! The purpose of the book is
to suggest possible directions of research in the fascinating area
of analysis on metric spaces. Everybody doing research in this area
should read the book." -- Mathematical Reviews
"[A] rich overview of this recent and fascinating subject at the
crossroad between analysis and geometry. The great quality of this
book may be found in the many open-ended directions of research
that it suggests and explores."--Bulletin of the London
Mathematical Society
|
Ask a Question About this Product More... |
|
