Graduate School of Science and Technology
Kumamoto University
2-39-1 Kurokami, Chuo-ku,
Kumamoto 860-8555, Japan
Phone:+81-96-342-3513,
Fax:+81-96-342-3510
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Master's Course

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. (1)To learn the foundation of mathematics such as algebra, geometry, analysis, statistics and information mathematics etc. toward advanced researches,
  2. (2)To obtain the ability to study mathematical papers of high level for the subjects of interest,
  3. (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.

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Kummer’s quartic surface with sixteen singular points

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Comprehensive Seminar on Mathematics

Classes

Mathematical Course
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
Applied Mathematical Course
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
All Courses
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