This book describes in detail the basic context of the Banach
setting and the most important Lie structures found in finite
dimension. The authors expose these concepts in the convenient
framework which is a common context for projective and direct
limits of Banach structures. The book presents sufficient
conditions under which these structures exist by passing to such
limits. In fact, such limits appear naturally in many mathematical
and physical domains. Many examples in various fields illustrate
the different concepts introduced. Many geometric structures,
existing in the Banach setting, are "stable" by passing to
projective and direct limits with adequate conditions. The
convenient framework is used as a common context for such types of
limits. The contents of this book can be considered as an
introduction to differential geometry in infinite dimension but
also a way for new research topics. This book allows the intended
audience to understand the extension to the Banach framework of
various topics in finite dimensional differential geometry and,
moreover, the properties preserved by passing to projective and
direct limits of such structures as a tool in different fields of
research.
General
Imprint: |
Taylor & Francis
|
Country of origin: |
United Kingdom |
Series: |
Chapman & Hall/CRC Monographs and Research Notes in Mathematics |
Release date: |
September 2023 |
First published: |
2024 |
Authors: |
Patrick Cabau
• Fernand Pelletier
|
Dimensions: |
234 x 156mm (L x W) |
Pages: |
472 |
ISBN-13: |
978-1-03-256171-4 |
Categories: |
Books
|
LSN: |
1-03-256171-8 |
Barcode: |
9781032561714 |
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!