Book review of:. H. S. Dumas, The KAM story. A friendly introduction to the content, history, and significance of classical Kolmogorov-Arnold-Moser theory

DOI10.1365/s13291-015-0128-8zbMath1417.00033OpenAlexW2394833330MaRDI QIDQ295661

Andreas Knauf

Publication date: 13 June 2016

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-015-0128-8

Mathematics Subject Classification ID

History of mathematics in the 20th century (01A60) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Nearly integrable Hamiltonian systems, KAM theory (70H08) External book reviews (00A17) History of dynamical systems and ergodic theory (37-03)

Cites Work

• Generic Hamiltonian dynamical systems are neither integrable nor ergodic
• Is the Solar System Stable?

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