INVERSE SCATTERING METHOD FOR RESTORATION (RECONSTRUCTION) OF MATHEMATICAL PROBLEMS OF ANTIQUITY (ON THE EXAMPLE OF THE GREAT FERMAT THEOREM)

Author(s): 
List of sections: 
History - Open specialized section
Mounth / Year: 
2016, February
Issue of the journal: 
8
Pages: 
19-24
Type of the article: 
Scientific article
Abstract: 

The method of restoration of historical events fixed in the mathematical structure of artifacts is considered in the paper. The logical sequence of mathematical operations leading to realization of a new mathematical method (the method of inverse problem in mathematical psychology as the generalization of the inverse scattering method in physics and other natural sciences) is reconstructed on the example of the Great Fermat Theorem - an intellectual artifact of its era. The historical event of appearance of the Great Fermat Theorem is duplicated by appearance of the generalizing Beal’s Conjecture, which, like the Fermat theorem, discloses the meaning of inverse problems of modern and ancient mathematics.

Keywords: 
inverse problems of mathematical psychology, Great Fermat Theorem, Beal’s Conjecture, joint paradigm of humanitarian and natural sciences
References: 

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