The DOI matches its Crossref record.
Foundations of Mechanics
Abstract
Undoubtedly [the book] will be for years the standard reference on symplectic geometry, analytical mechanics and symplectic methods in mathematical physics. -Zentralblatt für Mathematik For many years, this book has been viewed as a classic treatment of geometric mechanics. It is known for its broad exposition of the subject, with many features that cannot be found elsewhere. The book is recommended as a textbook and as a basic reference work for the foundations of differentiable and Hamiltonian dynamics.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cited by
The Euler–Poincaré Equations and Semidirect Products with Applications to Continuum Theories
Holm, D. D., Marsden, J. E., & Ratiu, T. S. (1998) · Advances in Mathematics · doi:10.1006/aima.1998.1721 · Cited by 964
Invariant functions on Lie groups and Hamiltonian flows of surface group representations
Goldman, W. M. (1986) · Inventiones Mathematicae · doi:10.1007/bf01389091 · Cited by 441
Learning from Demonstrations Through the Use of Non-rigid Registration
Schulman, J., Ho, J., Lee, C., & Abbeel, P. (2016) · Springer Tracts in Advanced Robotics · doi:10.1007/978-3-319-28872-7_20 · Cited by 133
Transverse, type changing, pseudo riemannian metrics and the extendability of geodesics
Kossowski, M., & Kriele, M. (1994) · Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences · doi:10.1098/rspa.1994.0019 · Cited by 27
Metadata
- Authors
- Abraham, R., & Young, H. D.
- Venue
- American Journal of Physics
- Published
- 1968-03-01
- Volume
- 36
- Issue
- 3
- Pages
- 280-281
- ISSN
- 0002-9505 (ISSN-L)
- 1943-2909
- OpenAlex
- W1994246733
- Cited by
- 3,086
- References
- 0
- FWCI
- 36.69
- Type
- journal article
- 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.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Foundations of Mechanics. https://app.cochat.ai/papers/10.1119/1.1974504
- The paper
- Abraham, R., & Young, H. D. (1968). Foundations of Mechanics. American Journal of Physics. https://doi.org/10.1119/1.1974504
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.
