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The book explores the intersection of analysis and Riemannian Geometry, focusing on nonlinear problems that arise in this field. It highlights the growing importance of analysis in addressing geometric challenges and vice versa. The author emphasizes the complexity and vastness of the topic, noting that many geometric issues lead to unique analytical questions. While not a comprehensive study, the work aims to provide essential knowledge and standard methods to help readers tackle geometrical problems through analytical approaches, emphasizing practical application over theoretical depth.
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Nonlinear Analysis on Manifolds. Monge-Ampère Equations, Thierry Aubin
- Language
- Released
- 2011
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- Title
- Nonlinear Analysis on Manifolds. Monge-Ampère Equations
- Language
- English
- Authors
- Thierry Aubin
- Publisher
- Springer New York
- Publisher
- 2011
- Format
- Paperback
- Pages
- 220
- ISBN13
- 9781461257363
- Category
- Mathematics
- Description
- The book explores the intersection of analysis and Riemannian Geometry, focusing on nonlinear problems that arise in this field. It highlights the growing importance of analysis in addressing geometric challenges and vice versa. The author emphasizes the complexity and vastness of the topic, noting that many geometric issues lead to unique analytical questions. While not a comprehensive study, the work aims to provide essential knowledge and standard methods to help readers tackle geometrical problems through analytical approaches, emphasizing practical application over theoretical depth.