An Introduction to the Geometrical Analysis of Vector Fields: with Applications to Maximum Principles and Lie Groups

Stefano Biagi; Andrea Bonfiglioli

ISBN 10: 9813276614 / ISBN 13: 9789813276611

Editore: World Scientific Publishing Co, 2019

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Dati bibliografici

• Titolo: An Introduction to the Geometrical Analysis of Vector Fields: with Applications to Maximum Principles and Lie Groups
• Editore: World Scientific Publishing Co
• Data di pubblicazione: 2019
• Lingua: Inglese
• ISBN 10: 9813276614
• ISBN 13: 9789813276611
• Rilegatura: Rilegato
• Condizione: New

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Riassunto

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. The book also contains: •58 figures; •182 exercises; •3 Appendices; •a Further Reading section.