Differential geometry of manifolds
Stephen Lovett • 2010 • Taylor & Francis Group
- Author
- Stephen Lovett
- First published
- 2010
- Publisher
- Taylor & Francis Group
- Genres
- Science
- Subjects
- Differential geometry · Manifolds (Mathematics) · Differential Geometry · Variétés (Mathématiques)
- ISBN
- 9780429059292
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Where it came from
Differential geometry of manifolds was authored by Stephen Lovett to serve as a comprehensive entry point for upper-level undergraduate and beginning graduate students. Published by CRC Press, an imprint of Taylor & Francis, the text was developed to bridge the gap between abstract theoretical concepts and the geometric intuition required for advanced mathematics. It focuses on providing a rigorous yet accessible foundation for students who have already completed core courses in multivariable calculus and linear algebra.
The design of the book is characterized by its systematic approach to the study of smooth manifolds, tensors, and differential forms. Lovett emphasizes a pedagogical structure that balances formal proof with concrete examples and applications. Since its initial release, the text has been recognized in academic circles as a reliable reference for its clear exposition and structured curriculum, often serving as a primary textbook for university courses exploring the intersection of topology and geometry.
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