In this compilation of twelve mathematical papers we can see a journey through calculus, number theory and computer science.The main article (the first in the list) gives us an approach to calculus with operators and creates an almost complete theory of operators in series where four new concepts are introduced and put into practice with numerical examples.Other articles range from the fundamental position of prime numbers in number theory problems to a binary transcription system for text transmissions in computer science.In summary, years of work in different topics.