The reason why so many people are so fascinated by Sudoku is that, even though the solving rules are simple, the reasoning behind the path to the correct solution can be very difficult, which is what will be explored in this article. Many teachers, regardless of the age group they teach, recommend Sudoku as a great way to develop logical reasoning. The complexity of each puzzle can be adapted to any age. This is why I want to explore and investigate what is the concept behind puzzle solving that makes it so fascinating and addictive. Introduction Sudoku has been called the Rubik's Cube of the 21st century. Sudoku is a popular and addictive puzzle game that is currently taking many parts of the world by storm. The fundamental origins of Sudoku lie in the work of the great 17th century Swiss mathematician Leonard Euler who, in 1783, reported the idea of ​​the "Latin 'Squares': grids of equal size in which each symbol occurs exactly once in each row and in each column. The Sudoku puzzle first appeared in an American puzzle magazine under the name 'Number Place'. Subsequently the game also appeared in Japanese puzzle magazines where it took its current name "Sudoku". Five Sudoku magazines are currently published in Japan each month, with a total circulation of over 600,000. Sudoku puzzles are now found in newspapers around the world. This is exactly one of the reasons why I want to explore the mathematical concepts related to Sudoku. People from all over the world use different methods to solve a Sudoku and this work would include the primary data of different people solving it through different logical reasoning. How to Solve Sudoku A Sudoku puzzle ...... half of the card ... ... of the cells. That's when some solvers resort to "trial and error"—that is, they make an assumption about the contents of an uncertain cell, and then work out the implications for the remaining cells. If the guess is wrong, an invalid grid will be produced and the solver has to go back to the previous state and make a different guess and doing so is very time consuming. For this reason I would like to conclude by saying that the algebraic and mathematical approach could provide a linear system of equations in multiple variables of Sudoku that could be solved simultaneously to directly obtain the unique solution, assuming that there is a unique solution that works Cited http:/ /www.pennydellpuzzles.com/upload/documents/How%20to%20Solve%20Sudoku.pdf http://sudokusource.mabuhaynet.com/sudoku.pdf http://www.inf.utfsm.cl/~mcriff/Tesistas / Games/sudoku.pdf