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Computer Experiments and Visualization in Mathematics and Physics: A Subjective Short Walk Among Some Historical Examples.
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- Abstract:
This article provides a historical perspective on the impact of computer experiments and visualization in mathematics and physics. It highlights the contributions of mathematicians such as John von Neumann, Stanisław Ulam, and Alan Turing, who recognized the potential of computers in these fields. The article discusses specific examples, including the FPUT experiments, Turing's work on morphogenesis, and Edward Lorenz's discovery of "deterministic chaos." It also mentions the contributions of Martin Kruskal, Norman Zabusky, Michel Hénon, Pierre Coullet, Charles Tresser, and Mitchell Feigenbaum in using numerical experiments to gain insights into complex phenomena and develop mathematical models. Additionally, the article discusses the exploration of complex dynamics through the visualization of Julia sets and the discovery of the Mandelbrot set. [Extracted from the article]
- Abstract:
Copyright of Mathematical Intelligencer is the property of Springer Nature and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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