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Manifolds, vector fields, and differential forms : an introduction to differential geometry / Gal Gross, Eckhard Meinrenken.
Springer Nature - Springer Mathematics and Statistics eBooks 2023 English International Available online
View online- Format:
- Book
- Author/Creator:
- Gross, Gal, author.
- Meinrenken, Eckhard, author.
- Series:
- Springer undergraduate mathematics series.
- Springer undergraduate mathematics series
- Language:
- English
- Subjects (All):
- Geometry, Differential.
- Manifolds (Mathematics).
- Vector fields.
- Physical Description:
- 1 online resource (348 pages)
- Edition:
- 1st ed. 2023.
- Place of Publication:
- Cham, Switzerland : Springer, [2023]
- Summary:
- This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.
- Contents:
- 1. Introduction
- 2. Manifolds
- 3. Smooth maps
- 4. Submanifolds
- 5. Tangent spaces
- 6. Vector fields
- 7. Differential forms
- 8. Integration
- 9. Vector bundles
- Notions from set theory
- Notions from algebra
- Topological properties of manifolds
- Hints and answers to in-text questions
- References
- List of Symbols
- Index.
- Notes:
- Description based on print version record.
- Includes bibliographical references and index.
- Other Format:
- Print version: Gross, Gal Manifolds, Vector Fields, and Differential Forms
- ISBN:
- 9783031254093
- OCLC:
- 1377816522
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