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ISBN | 9783031254086 |
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Autor | Gross Gal |
Wydawca | Springer Nature |
Język | english |
Oprawa | Paperback |
Rok wydania | 2023 |
Liczba stron | 343 |
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.