Mathematics: Concepts and Foundations

Edited by : Huzihiro Araki,

Research Institute of Mathematical Sciences, Kyoto University, Japan

A View of Mathematics

JAlain CONNES, Institute des Hautes Etudes Scientifiques,France

Mathematics through Millenia

V.L. Hansen, Department of Mathematics, Technical University of Denmark, Denmark

Mathematics Alive and in Action

V.L. Hansen, Department of Mathematics, Technical University of Denmark, Denmark


Tadao ODA, Tohoku University, Japan

Matrices, Vectors, Determinants, and Linear Algebra

Tadao ODA, Tohoku University, Japan

Groups and Applications

Tadao ODA, Tohoku University, Japan

Rings and Modules

Tadao ODA, Tohoku University, Japan

Fields and Algebraic Equations

Tadao ODA, Tohoku University, Japan

Number Theory and Applications

Katsuya MIYAKE, The Graduate School of Science and Engineering, Waseda University, Japan

Algebraic Geometry and Applications

Tadao ODA, Tohoku University, Japan


Basic Notions of Geometry and Euclidean Geometry

Tetsuya Ozawa, Department of Mathematics, Meijo University, Japan

Affine Geometry, Projective Geometry, and Non-Euclidean Geometry

Takeshi Sasaki, Department of Mathematics, Kobe University, Japan

Differential Geometry

Takashi Sakai, Department of Applied Mathematics, Okayama University of Science, Japan


Takashi Tsuboi, Graduate School of Mathematical Sciences, the University of Tokyo, Japan

Complex Analytic Geometry

Tatsuo SUWA, Department of Information Engineering, Niigata University, Japan

Mathematical Analysis

Differential and Integral Calculus

Yoshio Togawa, Department of Information Sciences, Faculty of Science & Technology, Tokyo University of Science, Japan

Complex Analysis

Sin HITOTUMATU, Kyoto University, Japan

Measure and Probability

H. Watanabe, Kyushu University, Japan

Functional Analysis and Function Spaces

Mikihiro Hayashi, Department of Mathematics, Hokkaido University, Japan

Numerical Analysis and Computation

Yasuhiko Ikebe, Information Science Research Center, Meisei University, Japan

Infinite Analysis

Tetsuji Miwa , Department of Mathematics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo, Kyoto, Japan

Fourier Analysis and Integral Transforms

Satoru Igari, Tohoku University, Japan

Operator Theory and Operator Algebra

Hideki Kosaki, Graduate School of Mathematics, Kyushu University, Japan

Formal Logic

Yiannis N. Moschovakis, Department of Mathematics,University of California, Los Angeles, CA, USA and University of Athens, Greece

Model Theory

H. Jerome Keisler, Department of Mathematics, University of Wisconsin, Madison Wisconsin U.S.A.

Proof Theory and Constructive Mathematics

Anne S. Troelstra, ILLC, University van Amsterdam, Plantage Muidergracht 24, 1018 TV Amsterdam, Netherlands

Computability and Complexity

Martin Davis, Professor Emeritus, Courant Institute, New York University, and Visiting Scholar, Mathematics Department, University of California, Berkeley ,USA

Set Theory

John Steel, Department of Mathematics, University of California, Berkeley, CA. USA

Logic and Computer Science

Phokion G. Kolaitis, Computer Science Department, University of California, Santa Cruz, CA 95064, USA

Modal Logic and its Applications

Kit Fine, Professor of Philosophy and Mathematics, New York University, USA

Differential Equations of Mathematicals Physics

General Setting and Historical Background

Hikosaburo Komatsu, University of Tokyo, Japan

A Basic Example of Non Linear Equation: The Navier-Stokes Equations

Claude Bardos, University of Paris 7 and Laboratoire Jacques Louis Lions(Univ. Paris 6),France

Calculus of Variations, Partial Differential Equations, and Geometry

Fabrice Bethuel, Université Pierre et Marie Curie, Paris, France

Linear Differential Equations

Louis Boutet de Monvel, Université Pierre et Marie Curie, France

Differential Equations and Symplectic Geometry

J.J. Duistermaat, Department of Mathematics, Utrecht University, The Netherlands

From the Atomic Hypothesis to Microlocal Analysis

Claude Bardos, University Denis Diderot, France
Louis Boutet De Monvel, University Pierre et Marie Curie, France

Discrete Mathematics

Kazuo Murota, University of Tokyo, Tokyo, Japan

Graph Theory

Hikoe Enomoto, Hiroshima University, Higashi-Hiroshima, Japan


Takeshi Tokuyama, Tohoku University, Sendai, Japan

Computational Complexity

Osamu Watanabe , Tokyo Institute of Technology, Tokyo, Japan


Toshihide Ibaraki, Kyoto University, Kyoto, Japan

Introduction To Mathematical Aspects of Quantum Chaos

Dieter Mayer, University of Clausthal, Clausthal -Zellerfeld, Germany