The DOI matches its Crossref record.
Mathematical Methods of Classical Mechanics
Overview
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Citations
Cited by
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Theory of cosmological perturbations
Mukhanov, V (1992) · Physics Reports · doi:10.1016/0370-1573(92)90044-z · Cited by 3,608
Brown, J. D., & Henneaux, M. (1986) · Communications in Mathematical Physics · doi:10.1007/bf01211590 · Cited by 2,605
The emergence of isolated coherent vortices in turbulent flow.
Mcwilliams, J. C. (1984) · Journal of Fluid Mechanics · doi:10.1017/s0022112084001750 · Cited by 1,131
Metadata
- Authors
- Arnold, V. I.
- Venue
- Graduate Texts in Mathematics
- Publisher
- Springer New York
- Published
- 1978
- ISSN
- 0072-5285 (ISSN-L)
- OpenAlex
- W3013347551
- Cited by
- 5,106
- References
- 0
- FWCI
- 48.40
- Type
- book
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Mathematical Methods of Classical Mechanics. https://app.cochat.ai/papers/10.1007/978-1-4757-1693-1
- The paper
- Arnold, V. I. (1978). Mathematical Methods of Classical Mechanics. Graduate Texts in Mathematics. https://doi.org/10.1007/978-1-4757-1693-1
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.
