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CASTRIGIANO Domenico - Catastrophe Theory
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| Schrijver: | CASTRIGIANO Domenico |
|---|---|
| Titel: | Catastrophe Theory |
| ISBN: | |
| Uitgever: | Addison Wesley publishing company |
| Bijzonderheid: | 202305191543, Massachusetts, Addison Wesley publishing company, 1993, Good |
| Prijs: | € 15,00 |
| Meer info | Hardcover, in-8, 239 pp., index. Catastrophe Theory is a branch of mathematics that studies how small changes in certain variables can cause abrupt and significant changes in the state or behavior of a system. It was developed in the 1960s by the French mathematician René Thom and was popularized in the 1970s by the British mathematician and scientist, Christopher Zeeman. Catastrophe theory is primarily concerned with discontinuous changes and can be seen as an extension of bifurcation theory. These theories analyze systems where smooth changes in parameters lead to sudden, often dramatic shifts in outcomes, resembling a "catastrophe." Examples of these phenomena include: Behavioral changes in psychology or economics, where a small shift in decision-making leads to a large shift in behavior. Structural collapses in engineering, where a system under gradual stress suddenly fails after reaching a critical threshold. In essence, catastrophe theory provides mathematical models for understanding how abrupt transitions can occur in both natural and social systems, often in unexpected ways. |
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