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Abstract

Fermat's Last Theorem is one of the most important theories in mathematics history to show that pure mathematics, Topology and Geometry are not the separated fields, but the one theoretical body and they are dependent on each other.

Especially the development Topology such as Taxonomic Theory gave mathematicians a whole mew motivation which they had never expected.

Even though the Fermat's Last Theorem was proved by Andrew Wiles using all the new theories as possible, it couldn't be proved without E. Kummer, L. Mordell of Y. Taniyama's studies.

However, it is true that the foundation of mathematics history has been prove by Andrew Wiles who proves it in 1993.

In this paper, we find out the process of building an mathematical product through the historical trace of Fermat's last theorem's birth and clarification.