Book Reviews
185
conformal structures on manifolds, with particular emphasis on hyperbolic n-dimensional manifolds. A detailed account of the geometric and analytic properties of geometrically-finite Mobius groups in n-dimensional space is given and this forms the basis of the subsequent analysis. Emphasis is placed on the geometrical aspects and on the universal constraints which must be satisfied by all tessellations and structures on manifolds. The book has nine chapters on the following topics: Conformal Mappings, Geometrical Structures on Manifolds, General Properties of Discontinuous Groups, Discrete Groups of Hyperbolic Isometries, Geometrically Finite Discrete Mobius Groups, Geometric and Algebraic Structures of Discrete Groups, Keininan Manifolds, Uniformization of Manifolds, and Deformation Spaces of Groups and Structures.
A.A.B. Pritsker, C.E. Sigal and R.D.J. Hammesfahr, SLAM II: Network Models for Decision Support. Prentice-Hall, Englewood Cliffs, NJ, 1989. 558 pp., ISBN O-1381-2819-7. Designed for junior-senior college or graduate level courses this book fully documents network modeling and simulation. Scores or examples and extensive case studies using SLAM II are featured in the following areas: Project Phnning involving chance and choice decision making, scheduling, contract negotiations, R&D planning and technology forecasting. Manufacturing system emluations including material handling equipment, flexible machining systems, just-in-time and Kanban procedures and computer integrated manufacturing. General systems designs requiring risk analysis, logistics analysis, inventory policy setting, reliability assessment, quality control, service system organization and communication network capacity planning. WFA)
F. Bra&x and D. Constales, Computer Algebra with LISP and REDUCE. 1991. 264 pp., Dfl.160, US$SS, UK&54, ISBN O-7923-1441-7.
Kluwer, Dordrecht,
This volume introduces scientists and engineers to the powerful tool of computer algebra, allowing them to do mathematics by computer. This is accomplished through the most widely available general-purpose Computer Algebra System, REDUCE. It differs from other introductions to computer algebra in that it highlights the advantages of the underlying programming language LISP as a safe and interactive way of creating and manipulating nontrivial data structures. The built-in functions of Standard LISP are surveyed; it is indicated how the elementary structural operations of LISP give full control over it to the user; how RLISP relates to Standard LISP and what notation advantages it offers. REDUCE’s algebraic mode is presented with an occasional peek at what happens at the LISP level. Several applications of REDUCE and RLISP to various problems in pure and applied mathematics are given. The volume is aimed at a wide audience and only presupposes a practical knowledge of algebra and calculus. WFA)