Opdam,S.
Lectures noes on Dunkl Operator
(MSJ Memoirs,vol.8)
This note is based on Series of lectures presented by Prof. Eric M. Opdam in one of the workshops of the Research Project "Harmonic analysis on homogeneous spaces and representation of Lie groups" at RIMS Kyoto University in 1997. The first part is an exposition of Dunkl operators in the trigonometric, differential setting including the theory of hypergeometric functions and the harmonic analysis for the operators. The second part gives two new interesting results related to fake degrees for a complex reflection group and topological cyclotomic Hecke algebra constructed by the monodromy representation of certain system of differential operators. The Research Project was partially supported by the Hayashibara Foundation, the Japan Association of Mathematical Sciences and the Grant-in-Aid by the Ministry of Education, Science and Culture.
4-931469-08-6
Georgiev, V.
Semilinear hyperbolic equations
(MSJ Memoirs,vol.7)
This is an excellent lecture note concerned with the sharp a priori estimates derived by using the Fourier transform on manifolds with constant negative curvature and its application to the proof of a global in time existence of solutions to semilinear hyperbolic equations in mathematical physics.
4-931469-07-8
Cooper, F.
Supersymmetry in Quantum Mechanics.
This invaluable book provides an elementary description of supersymmetric quantum mechanics which complements the traditional coverage found in the existing quantum mechanics textbooks. It gives physicists a fresh outlook and new ways of handling quantum-mechanical problems, and also leads to improved approximation techniques for dealing with potentials of interest in all branches of physics. The algebraic approach to obtaining eigenstates is elegant and important, and all physicists should become familiar with this. The book has been written in such a way that it can be easily appreciated by students in advanced undergraduate quantum mechanics courses. Problems have been given at the end of each chapter, along with complete solutions to all the problems. The text also includes material of interest in current research not usually discussed in traditional courses on quantum mechanics, such as the connection between exact solutions to classical soliton problems and isospectral quantum Hamiltonians, and the relation to the inverse scattering problem.
981-02-4605-6
Dimiev, S./Sekigawa K.
Perspectives of Complex Analysis, Differential Geometry and Mathematical Physics.
This workshop brought together specialists in complex analysis, differential geometry, mathematical physics and applications for stimulating cross-disciplinaly discussions. The lectures presented ranged over various current topics in those fields. The proceedings will be of value to graduate students and researchers in complex analysis, differential geometry and theoretical physics, and also related fields.
981-02-4597-1
Fu, J.et al
Distribution Theory of Runs and Patterns and Its Applications.
This book provides a rigorous, comprehensive introduction to the finite Markov chain imbedding technique for studying the distributions of runs and patterns from a unified and intuitive viewpoint, away from the lines of traditional combinatorics. The central theme of this approach is to properly imbed the random variables of interest into the framework of a finite Markov chain, and the resulting representations of the underlying distributions are compact and very amenable to further study of associated properties. The concept of finite Markov chain imbedding is systematically developed, and its utility is illustrated through practical applications to a variety of fields, including the reliability of engineering systems, sequencing analysis in molecular genetics, sampling inspection for quality control, and continuity measurement in the health care sector.
981-02-4587-4
Jammalamadaka,S.et al
Linear Statistical Models.
an Interated Approach.
Instead of the algebraic and some what mechanical development presented in many books on linear models, this monograph adopts a simplifying geometric approach. This approach not only provides a transparent treatment of the subject, but also unifies cases of singular and/or correlated dispersion matrices. After giving a brief introduction to basic: ideas of vector spaces and generalized inverses, the book covers inference for the general linear model. Also included are models with an unknown error dispersion matrix (including mixed effects models) and multivariate general linear models. The ideas are illustrated through a number of examples and SPlus routines.
981-02-4592-0
Kappraff,J.
Connections
the Geometric Bridge between Art and Science,2nd ed.
(Series on Knots and Everything,vol.25)
The first edition of Connections was chosen by the National Association of Publishers (USA) as the best book in "Mathematics, Chemistry, and Astronomy - Professional and Reference" in 1991. It has been a comprehensive reference in design science, bringing together in a single volume material from the areas of proportion in architecture and design, tilings and patterns, polyhedra, and symmetry. The book presents both theory and practice and has more than 750 illustrations. It is suitable for research in a variety of fields and as an aid to teaching a course in the mathematics of design. It has been influential in stimulating the burgeoning interest in the relationship between mathematics and design. The second edition is essentially the same as the first, but with a new preface describing the advances in design science since the publication of the first edition.
981-02-4585-8 hard cover
981-02-4586-6 soft cover