The Division of Mathematics
Mathematics is a reliable foundation of natural science
and offers applications to various aspects of human life.
In our department we are making our effort to develop mathematical
theories through analyzing various phenomena which appear
not only in mathematics but also in natural and social sciences
and through studying the mathematical structures which underlie
those phenomena. Through these studies and researches, our
graduate students will be able to acquire good ability in
knowledge of Mathematics.
|The Course of Theory of Mathematical
|In this course, we deal with various mathematical
structures: arithmetic structure, algebraic structure,
topological structure, geometric structure, and complex
structure. The purpose of our research is to understand
mathematical structures of the objects as a whole. We
study what kind of structures exists in the objects
and how they are related. In fact, these structures
are closely related to each other, and one of the main
interest of our research is concerned with the interactions
between them. Nowadays, mathematical structures are
becoming more and more unified. Though individual research
is based on individual mathematical structures, we must
study the objects from many different viewpoints. Thus,
our aim in the course on Theory of Mathematical Structures
is to widen and enrich through new developments.
|The Course of Mathematical
Analysis of Phenomena
|In this course, we deal with the following subjects:
nonlinear analysis, analytical theory of global phenomena,
theory of classical differential equations, probability
theory, and Fourier analysis. We concentrate our attention
on "movements" in various phenomena to carry
out research on these subjects and we study their mechanisms
by using infinitesimal analysis. Note that kinds of
analysis are already found and developed. However, in
this course, we will not only succeed to classical research,
but also make new models of phenomena and recognize
universality through bird's eye view. Then we will break
the old frameworks of these fields of research and rearrange
them organically. Thus, our aim is to achieve many fruitful
developments in Mathematical Analysis of Phenomena.
The study of mathematics endeavors to examine and clarify
the mathematical structures and principles that lie in the
core of occurrences in the natural world, as well as in
human activities and in a wide range of other phenomena.
The mathematics can provides methods for analyzing many
forms of structures and phenomena as well as for making
predictions about related events.
The aim of the education of Department of Mathematics is
to provide students who have already studied the basics
and methods of modern mathematics with deeper and wider
understandings of these mathematical theories.
[Expectations of Students]
Based on the above philosophy, the character that Department
of Mathematics expects to the students is as follows.
Students applying to this Department are expected to have
a particular interest in enjoying mathematics, in finding
principles hidden behind the innumerable natural and social
phenomena in the world, and in conducting an in-depth pursuit
of those principles.
of Mathematics, Faculty of Science