An introduction to the geometrical analysis of vector fields: with applications to maximum principles and Lie groups

"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 An...

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Bibliographic Details
Main Author: Biagi, Stefano (Author)
Format: Electronic eBook
Language:English
Published: Singapore World Scientific Publishing Company Pte Limited 2019
Subjects:
Online Access:UBY01
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Summary:"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: 1. ODE theory; 2. Maximum Principles (weak, strong and propagation principles); 3.Lie groups (with an emphasis on the construction of Lie groups). This book also provides an introduction to the basic theory of Geometrical Analysis, with a new foundational presentation based on Ordinary Differential Equation techniques, in a unitary and self-contained way."--
Item Description:Includes bibliographical references and index
Physical Description:1 online resource (452 pages) illustrations
ISBN:9789813276628

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