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 
 
Algebra 
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
 
Geometry 
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
Topology
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
Combinatorics 
Takeshi Tokuyama, Tohoku University, Sendai, Japan
Computational Complexity 
Osamu Watanabe , Tokyo Institute of Technology, Tokyo, Japan 
Optimization
 
Toshihide Ibaraki, Kyoto University, Kyoto, Japan
 
Introduction To Mathematical Aspects of Quantum Chaos
Dieter Mayer, University of Clausthal, Clausthal -Zellerfeld, Germany