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Manifolds, Vector Fields, and Differential Forms Paperback
- Publisher : Springer
- Language : English
- Paperback : 343 pages
- ISBN-10 : 3031254082
- ISBN-13 : 978-3031254086
- Item Weight : 651 g
- Dimensions : 15.5 x 1.9 x 23.5 cm
This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students. It places special emphasis on motivation and understanding, while developing a solid intuition for the more abstract concepts. In contrast to graduate level references, the text relies on a minimal set of prerequisites: a solid grounding in linear algebra and multivariable calculus, and ideally a course on ordinary differential equations. Manifolds are introduced intrinsically in terms of coordinate patches glued by transition functions. The theory is presented as a natural continuation of multivariable calculus; the role of point-set topology is kept to a minimum.
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