The Analytical Foundations of Celestial Mechanics (Dover Books on Physics) by Aurel Wintner (PDF)

Description

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.

User’s Reviews

Editorial Reviews: About the Author Aurel Friedrich Wintner (1903–58) received his Ph.D. from the University of Leipzig. From 1930 to 1958 he taught at Johns Hopkins University, where Dover author Shlomo Sternberg was one of his students. Wintner made significant contributions to mathematical analysis, number theory, differential equations, and probability theory.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Tomé conocimiento de esta obra de manera indirecta, a través de otra obra maestra, “Mathematical Methods of classical mechanics del colosal Vladimir Arnold”. Se trata de una auténtica referencia sobre este tema con un tratamiento sobre el problema de los 3 cuerpos, una obra excelente, las ideas de Poincaré y de los sistemas dinámicos desarrolladas por Birkoff en un mismo marco. Solo un pequeño pero, la notación hay momentos en los que parece algo oscura. Naturalmente es una obra escrita en 1941 y que ha estado “out of print” durante decenios y esa puede ser una de las explicaciones sobre la notación. Pero, llega uno a acostumbrarse. Resumiendo, una autentica joya, una guinda entre las referencias de Mecánica Clasica.

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