عنوان
پدید آورنده
موضوع
رده
QA613.619 .B53 2019eb
QA613
.
619
.
B53
2019eb
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9789813276628
(Number (ISBN
9813276622
Erroneous ISBN
9789813276611
Erroneous ISBN
9813276614
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
An introduction to the geometrical analysis of vector fields :
General Material Designation
[Book]
Other Title Information
with applications to maximum principles and lie groups /
First Statement of Responsibility
Stefano Biagi, Università Politecnica delle Marche, Italy ; Andrea Bonfiglioli, Alma Mater Studiorum - Università di Bologna, Italy.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Hackensack, NJ :
Name of Publisher, Distributor, etc.
World Scientific Publishing Co. Pte. Ltd.,
Date of Publication, Distribution, etc.
[2019]
Date of Publication, Distribution, etc.
©2019
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
1 online resource (xxv, 423 pages)
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Flows of vector fields in space -- The exponential theorem -- The composition of flows of vector fields -- Hadamard's theorem for flows -- The CBHD operation on finite dimensional lie algebras -- The connectivity theorem -- The Carnot-Carathéodory distance -- The weak maximum principle -- Corollaries of the weak maximum principle -- The maximum propagation principle -- The maximum propagation along the drift -- The differential of the flow wrt its parameters -- The exponential theorem for ODEs -- The exponential theorem for lie groups -- The local third theorem of lie -- Construction of carnot groups -- Exponentiation of vector field algebras into lie groups -- On the convergence of the CBHD series,
0
SUMMARY OR ABSTRACT
Text of Note
This book provides the reader with a gentle path through the multifaceted theory of vector fields, starting from the definitions and the basic properties of vector fields and flows, and ending with some of their countless applications, in the framework of what is nowadays called Geometrical Analysis. Once the background material is established, the applications mainly deal with the following meaningful settings:
OTHER EDITION IN ANOTHER MEDIUM
Title
Introduction to the geometrical analysis of vector fields.
International Standard Book Number
9789813276611
TOPICAL NAME USED AS SUBJECT
Lie groups.
Maximum principles (Mathematics)
Vector fields.
Lie groups.
MATHEMATICS / Geometry / General.
Maximum principles (Mathematics)
Vector fields.
(SUBJECT CATEGORY (Provisional
MAT-- 012000
DEWEY DECIMAL CLASSIFICATION
Number
516
.
182
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA613
.
619
Book number
.
B53
2019eb
PERSONAL NAME - PRIMARY RESPONSIBILITY
Biagi, Stefano
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Bonfiglioli, Andrea
ORIGINATING SOURCE
Date of Transaction
20200823231949.0
Cataloguing Rules (Descriptive Conventions))
rda
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
