The analytical foundations of celestial mechanics. 2nd printing. (English) Zbl 0041.59006

Princeton Mathematical Series 5. Princeton, New Jersey: Princeton University Press; London: Geoffrey Cumberlege; Oxford: University Press. 434 p. (1947).
Summary: With this 1941 monograph, Aurel Wintner joined Poincaré, Birkhoff, and others in placing celestial mechanics on a sound mathematical basis. The product of many years of work by the author, it remains an extremely valuable contribution to the literature of this field. Starting with a review of dynamical operations, the treatment advances to local and non-local questions, dynamical systems, the problem of two bodies and the problem of several bodies, and an introduction to the restricted problem. Suitable for advanced undergraduates and graduate students of physics, the text is amply supplemented by a substantial section of notes and references in which a great deal of the historical literature from which it derives is discussed.
Table of contents:


70F15 Celestial mechanics
70-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of particles and systems