Canonical transformations from Jacobi to Whittaker

DOI10.1007/s00407-022-00303-9OpenAlexW4318615913MaRDI QIDQ6101969

Michiyo Nakane, Craig G. Fraser

Publication date: 6 May 2023

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-022-00303-9

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The three-body problem and the equations of dynamics. Poincaré's foundational work on dynamical systems theory. Translated from the 1890 French original and with a preface by Bruce D. Popp
• J. L. Lagrange's early contributions to the principles and methods of mechanics
• Jacobi's lectures on dynamics. Delivered at the University of Königsberg in the winter semester 1842--1843 and according to the notes prepared by C. W. Borchardt. Edited by A. Clebsch. Translated from the original German by K. Balagangadharan. Translation edited by Biswarup Banerjee
• The Hill--Brown theory of the Moon's motion. Its coming-to-be and short-lived ascendancy (1877-1984)
• George Peacock and the British origins of symbolical algebra
• The study of partial differential equations of the first order in the 18th and 19th centuries
• Jacobi and the birth of Lie's theory of groups
• Jacobi's criticism of Lagrange: The changing role of mathematics in the foundations of classical mechanics
• Macrocosmos/microcosmos: celestial mechanics and old quantum theory.
• Whittaker's analytical dynamics: a biography
• George Boole and the origins of invariant theory
• David Hilbert's Lectures on the Foundations of Physics 1915-1927
• The Early History of Hamilton-Jacobi Dynamics 1834?1837