The DOI matches its Crossref record.
Applied Differential Geometry
Abstract
This is a self-contained introductory textbook on the calculus of differential forms and modern differential geometry. The intended audience is physicists, so the author emphasises applications and geometrical reasoning in order to give results and concepts a precise but intuitive meaning without getting bogged down in analysis. The large number of diagrams helps elucidate the fundamental ideas. Mathematical topics covered include differentiable manifolds, differential forms and twisted forms, the Hodge star operator, exterior differential systems and symplectic geometry. All of the mathematics is motivated and illustrated by useful physical examples.
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Citations
Cited by
Dynamics and thermodynamics of complex fluids. II. Illustrations of a general formalism
Öttinger, H. C., & Grmela, M. (1997) · Physical Review E · doi:10.1103/physreve.56.6633 · Cited by 770
Thompson, P. M., Mega, M. S., Vidal, C., Rapoport, J. L., & Toga, A. W. (2001) · Lecture Notes in Computer Science · doi:10.1007/3-540-45729-1_52 · Cited by 67
Metadata
- Authors
- Burke, W. L.
- Venue
- Cambridge University Press eBooks
- Publisher
- Cambridge University Press
- Published
- 1985-05-31
- OpenAlex
- W2068645832
- Cited by
- 319
- References
- 0
- FWCI
- 2.43
- Type
- book
- Language
- en
- Open access
- closed
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How to cite
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- CoChat. (2026). Citation check: Applied Differential Geometry. https://app.cochat.ai/papers/10.1017/cbo9781139171786
- The paper
- Burke, W. L. (1985). Applied Differential Geometry. Cambridge University Press eBooks. https://doi.org/10.1017/cbo9781139171786
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
