[citation needed] Although Takeuchi graduated as a physicist due to family influence, his interest was to learn and teach mathematics.

[2] He is known for being the founder of the magazine Matemáticas: Enseñanza Universitaria and was part of the first class of the master's degree in mathematics at the National University of Colombia in 1972.

Takeuchi knew of this difficulty, so he had a printing press in the garage of his house, where with the collaboration of his wife and children, he produced various hand-made and low-cost texts that were easily accessible to the university community.

Iván Castro Chadid, a close colleague of Takeuchi, remembers:[8] Actually, this was what he did with his publications as he himself stated: "I wrote texts for everyone, seeking the popularization of mathematics."

The criterion that guided him, according to his own words, was the following: "Today, when time seems to be getting shorter and research fields are becoming ever larger, practical books that are economically within everyone's reach, of good academic level, and with topics selected with the future in mind, that truly help the student, are necessary.