## Mathematics

Mathematics is the theoretical system accumulated by human thought and consideration to various phenomena over a long time. It is still developing with new discoveries and building up its own basic principle. The idea and method is to help to find the fundamental structures of social phenomena including natural phenomena such as physics, chemistry and biology. This field aims to produce a person who can promote his/her own study based on his/her acquired solid understanding of advanced theory of mathematics and its achievements.

As stated above, Mathematics Field seeks students who have the qualities shown below;

- Individuals who want to explore mathematics more.
- Individuals who want to learn higher specialized knowledge.
- Individuals with mathematical ability to solve the various types of problems in the modern society and who want to contribute to the society.

- Educational Goals
- This field offers actual research activities of mathematics through lectures and seminars. It fosters people who have view of mathematics which can respond to the demands of society by intensive study of the newest mathematical theories.

This field produces individuals who have high communication ability and presentation skills gained through presentations at seminars.

This field produces individuals who can exercise their abilities learned through research of mathematics in various different fields. - Educational Characteristics
- Since ancient times, many researchers had kept strong desire to know the essence underlying phenomena of the nature and the society surrounding them. They had continued huge efforts to find such essence. The mathematics has often provided fundamental tools for researchers of sciences and its development has been thus indispensable. The modern mathematics has now become highly sophisticated theoretical system.

In spite of that, we cannot say that the mathematics is established satisfactorily. Rather, we should say that it is still developing. Actually, for instance, a latest progress of the theoretical physics sometimes leads to a discovery of a new mathematical theory. Namely the mathematics still has possibility of further development, which would be influenced by the current status of various sciences as well as the mathematics itself.Under the situation just mentioned, the education in our mathematical courses is aimed at the following three:

- (1)To learn the foundation of mathematics such as algebra, geometry, analysis, statistics and information mathematics etc. toward advanced researches,
- (2)To obtain the ability to study mathematical papers of high level for the subjects of interest,
- (3)To become an established person who has logical thought and a high ability of understanding to learn the latest development of the field of his or her interest and to resolve difficult problems in the actual societies.

To accomplish these, we promote international research communications, not only domestic ones, to carry out researches appealing to specialists in the world.

We have two courses, mathematical course and applied mathematical course. The goal of the mathematical course is to carry out researches with high level and originality, mainly in pure mathematics. On the other hand, the goals of the applied mathematical course are to learn elementary mathematics and its application which support the most advanced technology of engineering, and to try to make technical innovation by mathematical thinking.

Kummer’s quartic surface with sixteen singular pointsComprehensive Seminar on Mathematics

### Classes

Number Theory |

Group Theory |

Algebraic Geometry I |

Algebraic Geometry II |

Special Topics on Geometry I |

Special Topics on Geometry II |

Special Topics on Geometry III |

Theory of Differential Equations I |

Theory of Differential Equations II |

Partial Differential Equations I |

Advanced Complex Analysis I |

Advanced Complex Analysis II |

Dynamical systems I |

Dynamical systems II |

Introduction to stochastic processes |

Seminar on Mathematics |

Studies in Mathematics |

Partial Differential Equations II |

Advanced study in nonlinear analysis |

Special Topics on Applied Analysis |

Introduction to stochastic analysis |

Graphs and Networks |

Combinatorial Theory |

Special Lectures on Algebraic Coding Theory |

Multivariate data analysis |

Introduction to Statistical Inferences |

Graph Theory |

Introduction to Fractal Analysis |

Analysis of Nonlinear Phenomena |

Lectures on mathematical finance |

Lectures on analysis of random phenomena |

Seminar on Applied Mathmatics |

Studies in Applied Mathematics |

Special Cource of Mathematics AI |

Special Cource of Mathematics AII |

Special Cource of Mathematics AIII |

Special Cource of Mathematics AIV |

Special Cource of Mathematics AV |

Special Cource of Mathematics AVI |

Special Cource of Mathematics AVII |

Special Cource of Mathematics AVIII |

Special Cource of Mathematics BI |

Special Cource of Mathematics BII |

Special Cource of Mathematics BIII |

Special Cource of Mathematics BIV |

Special Cource of Mathematics BV |

Special Cource of Mathematics BVI |

Special Cource of Mathematics BVII |

Special Cource of Mathematics BVIII |

Comprehensive Seminar on Mathematics |