Book Reviews 177

S.M. Ross, A Course in Simulation. Macmillan, New York, 1990. 202 pp.~ !SBN 0-02-403891-1.

The recent advent of fast and inexpensive computational power now permits the modelling of phenomena as faithfully as possible. A simulation study is then used to analyze the model. This analysis forms the heart of this book. The contents are as follows: Chapter 1: Introduction Chapter 2: Elements of Probability Chapter 3: Random Numbers Chapter 4: Generating Discrete Random Variables Chapter 5: Generating Continuous Random Variables Chapter 6: The Discrete Event Simulation Approach Chapter 7: Statistical Analysis of Simulated Data Chapter 8: Variance Reduction Techniques Chapter 9: Statistical Validation Techniques Chapter 10: Some Advanced Topics Appendix of Programs Index.

(WFA)

O.I. Zavialov, Renormalized Quantum Field Theory, Mathematics and its Applications (Soviet Series). Kluwer, Dordrecht, 1990. 524 pp., Dfl.295, US$149, UK£92, ISBN 90-277-2758-9.

This book, which contains much new material, presents the main results of renormalization theory in a mathematically rigorous and complete way.

The first part deals with renormalization on the level of individual diagrams. Criteria for infrared convergence are discussed, and different renormalization schemes (such as soft mass quantization, analytic and dimensional regularizations, renormalization 'without subtractions' and renormallzation 'over asymptotics') are described.

The second part deals with renormalization on the leve! of the overall matrix elements. The alternative approach to tke Zimmermann normal product formalism is described here. This is based on fundamental structure relations which exhibit combinatorics of renormalization in an almost ezplicit way. Short-distance and light-cone operator-product expansions are considered in detail. Renorma!ization of gauge theories is thoroughly discussed. A broad class of gauge-ip- variant regularization and renormalization schemes is introduced, and mechanisms leading to anomalies are analyzed.

(WFA)

S. Yashkov, Queueing Analysis for Computers (in Russian). Radio i Svyaz, Moscow, 1989. 216 pp., ISBN 5-256-01)304-6.

The book deals with the main mathematical models of computer time-sharing systems, analysis of which is based on the queueing theory. Such queueing models describe the operation of various scheduling algorithms in computer systems, packet-switching nodes in communication