Acta Mathematica

 

Acta Mathematica



Celestial Encounters: The Origins of Chaos and Stability by Florin Diacu,

Celestial Encounters: The Origins of Chaos and Stability by Florin Diacu,
Celestial Encounters is for anyone who has ever wondered about the foundations of chaos. In 1888, the 34-year-old Henri Poincare submitted a paper that was to change the course of science, but not before it underwent significant changes itself. "The Three-Body Problem and the Equations of Dynamics" won a prize sponsored by King Oscar II of Sweden and Norway and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare's work, Florin Diacu and Philip Holmes trace the history of attempts to solve the problems of celestial mechanics first posed in Isaac Newton's Principia in 1686. In describing how mathematical rigor was brought to bear on one of our oldest fascinations - the motions of the heavens - they introduce the people whose ideas led to the flourishing field now called nonlinear dynamics.



Philosophiae Naturalis Principia Mathematica - The Philosophiae Naturalis Principia Mathematica (Latin: "mathematical principles of natural philosophy", often Principia or Principia Mathematica for short) is a three-volume work by Isaac Newton published on July 5, 1687. It contains the statement of Newton's laws of motion forming the foundation of classical mechanics as well as his law of universal gravitation.

Mathematica - Mathematica is a widely-used computer algebra system originally developed by Stephen Wolfram and sold by his company Wolfram Research. Mathematica is also a powerful programming language emulating multiple paradigms on top of term-rewriting.

Acta Sanctae Sedis - The Acta Sanctae Sedis was a periodical that served as the official gazette of the Holy See and was published on a monthly basis. It contained the principal public documents issued by the Pope, directly or through the departments of the Roman Curia.

Acta Apostolicae Sedis - The Acta Apostolicae Sedis (Acts of the Holy See) is a periodical that serves as the official gazette of the Holy See and of the Vatican City State. It is published nominally on a monthly basis even if it appears irregularly.



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Isaac Newton Principia - ... but not before it underwent significant changes itself. The Three-Body Problem isaac newton principia and the Equations of Dynamics won a prize sponsored by King Oscar II of Sweden isaac newton principia and Norway isaac newton principia and the journal Acta Mathematica, but after accepting the prize, Poincare found a serious mistake in his work. While correcting it, he discovered the phenomenon of chaos. Starting with the story of Poincare`s work, Florin Diacu isaac newton principia and Philip Holmes trace ...



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