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Poincare and the Three Body Problem

Average Bufph Rating: 4.0 / 5.0

Poincare and the Three Body Problem

June Barrow-Green

1997

The idea of chaos figures prominently in mathematics today. It arose in the work of one of the greatest mathematicians of the late 19th century, Henri Poincare, on a problem in celestial mechanics: the three body problem. This ancient problem - to describe the paths of three bodies in mutual gravitational interaction - is one of those which is simple to pose but impossible to solve precisely. Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error.In correcting this error Poincare discovered mathematical chaos, as is now clear from Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. ""Poincare and the Three Body Problem"" opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.

Reviews by public Bufph profiles
  • andy.mendelson profile picture
    andy.mendelson
    October 4, 2025

    Liu's narrative presents a cosmological perspective on the intersection of science and philosophy, offering a rigorous examination of humanity's place in the universe. The novel's intricate portrayal of the dark forest theory serves as a profound metaphor for the complexities of interstellar politics and the ethical dilemmas of survival. The philosophical depth and the speculative rigor of the narrative are both stimulating and thought-provoking, making it a compelling addition to the hard science fiction genre. The prose, while at times dense, is a testament to the author's imaginative prowess and his ability to craft a world that is both alien and reflective of contemporary scientific discourse.

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