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Abstract: XIX century mathematics became something visibly different from what it had been in the XVIII century, in the post-Newtonian heroic era. It was born and developed within it a new, rigorous and severe spirit. The discoveries and methods were perfected more and more. The fields of mathematical research multiplied, preparing the conceptual tools for subsequent discoveries in the physical field and great applications in engineering. The work was structured in such a way as to highlight not only the importance of XIX mathematics and its countless discoveries but to highlight that these discoveries have marked the mathematical discoveries of the following centuries. |
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