Mathematical Girls - Gödels Incompleteness Theorems

"I" (Boku) love math. Just after the high school entrance ceremony, "I" meet a beautiful girl: Milka. Milka is a mathematical genius. She gives me many maths problems, she shows me many elegant solutions. Milka and I spend a long time by discussing maths in the school library. One year later, I meet another mathematical girl: Tetra. Tetra is one year younger than me, and asks me to teach her mathematics. While I teach her, she begins to understand mathematics and gradually to love its elegance. In this second volume (series), we talk about Pythagoras' Theorem, Elementary Number Theory, Group, Ring, Field, and Fermat's Last Theorem.

"I" (Boku) love mathematics. Just after the high school entrance ceremony, "I" meet a beautiful girl: Miruka. Miruka is a mathematical genius. She gives me many math problems; she shows me many elegant solutions. Miruka and I spend a long time discussing math in the school library. One year later, I meet another mathematical girl: Tetra. Tetra is one year younger than me, and asks me to teach her math. While I teach her, she begins to understand math and to love its elegance gradually. In this third volume (series), we talk about logic puzzles, Peano arithmetic, epsilon-delta, Cantor's diagonal argument, Hilbert's program and Gödel's Incompleteness Theorems.

Just after the high school entrance ceremony, "I" meet a beautiful girl: Milka. Milka is a mathematical genius. She gives me many math problems, she shows me many elegant solutions. Milka and I spend a long time by discussing math in the school library. One year later, I meet another mathematical girl: Tetra. Tetra is one year younger than me, and asks me to teach her math. While I teach her, she begins to understand math and to love its elegance gradually. In the first volume (series), we talk about Fibonacci Numbers, Harmonic Numbers, Finite and Infinite Sums, Factorization, The Bazel Problem, Partitions of the Integer, and Generating Functions.