Isomorphism -- Mathematics of Programming

This interesting story reflects an important mathematical idea, isomorphism. A difficult problem can be transformed to an isomorphic one, which is mathematical equivalent and easy to solve. A line of 9 numbers corresponds to a 3 x 3 grids; the sum target of fifteen corresponds to one of the rows, columns, and diagonals; Lo Shu pattern corresponds to magic square of order 3. This is what this book intents to tell: programming is isomorphic to mathematics. Just like in art and music, there are interesting stories and mathematicians behind the great minds. 

There is another further idea in this story: under the surface of the problem hides the theoretical essence, which is abstract and need to understand. With the rapid development of artificial intelligence and machine learning, can we keep moving forward with a little cleverness and engineering practice? Are we going to open the mysterious black box to find the map to the future?