- Email: [email protected]
Elements of the mathematical theory of multi-frequency oscillations
378
Book Reviews
used for two generations - as a basic course in probability that is adaptible to the needs of students with diverse interest and background. WPA) A.M. Samoilenko, Elements of the Mathematical Theory of Multi-Frequency Dordrecht, 1991. 313 pp., Dfl.260, US$142, UIW#, ISBN O-7923-1438-7.
Oscillations.
KIuwer,
This monograph deals with the theory of multi-frequency oscillations as a motion of a dynamical system which describes a recurrent trajectory on an invariant toroidal manifold of the system. In this way, the invariant toroidal manifold becomes the main subject of the theory and the existence of such a manifold is a sufficient condition for the existence of multi-frequency oscillations of the system. The first two chapters of the book describe a theory of quasi-periodic functions and some results from the theory of invariant sets and their stability. The material presented here will be useful to those who are not so well acquainted with the theory of multi-frequency oscillations. The next two chapters, which present the original part of the book, are devoted to the existence of invariant toroidal manifolds for linear systems, perturbation theory of such manifolds for nonlinear systems, smoothness and stability properties of these manifolds, the behavior of trajectories in the case of exponential dichotomy of toroidal manifolds, linear system block decomposition under exponential dichotomy and substantiation of Galerkin’s procedure for finding toroidal manifolds. The book contains a very good bibliography, an author and subject index and an index of notation. WFA)
D.R. Brough ted.), Logic Programming Dfl.150, US$SS, ISBN O-7923-1546-4.
- New Frontiers.
Kluwer, Dordrecht,
1992. 310 pp.,
This is a collection of 13 papers from the second conference of the Association for Logic Programming. They represent the original material in the theory, applications and implementation of Prolog. The topics range over such things as “Using Prolog to Animate Mathematics” to “Logic, Language and the Quest for Intelligence” just to mention a few. WPA)
D. Heidrich and J.C. Grossetie (eds.), Computing with T. Node Parallel Architecture. Dordrecht, 1991. 264 pp., Dfl.160, US$SS, UKg54, ISBN O-7923-1483-2.
Kluwer,
Parallel processing is seen today as the means to improve the power of computing facilities by breaking the Von Neumann bottleneck of conventional sequential computer architectures. By defining appropriate parallel computation models, definite advantages can be obtained. The present volume presents 14 course papers of the Eurocourse held at the Joint Research Centre of ISPRA (Italy) in November 1991. The first part on parallel programming consists of 5
Book Reviews
used for two generations - as a basic course in probability that is adaptible to the needs of students with diverse interest and background. WPA) A.M. Samoilenko, Elements of the Mathematical Theory of Multi-Frequency Dordrecht, 1991. 313 pp., Dfl.260, US$142, UIW#, ISBN O-7923-1438-7.
Oscillations.
KIuwer,
This monograph deals with the theory of multi-frequency oscillations as a motion of a dynamical system which describes a recurrent trajectory on an invariant toroidal manifold of the system. In this way, the invariant toroidal manifold becomes the main subject of the theory and the existence of such a manifold is a sufficient condition for the existence of multi-frequency oscillations of the system. The first two chapters of the book describe a theory of quasi-periodic functions and some results from the theory of invariant sets and their stability. The material presented here will be useful to those who are not so well acquainted with the theory of multi-frequency oscillations. The next two chapters, which present the original part of the book, are devoted to the existence of invariant toroidal manifolds for linear systems, perturbation theory of such manifolds for nonlinear systems, smoothness and stability properties of these manifolds, the behavior of trajectories in the case of exponential dichotomy of toroidal manifolds, linear system block decomposition under exponential dichotomy and substantiation of Galerkin’s procedure for finding toroidal manifolds. The book contains a very good bibliography, an author and subject index and an index of notation. WFA)
D.R. Brough ted.), Logic Programming Dfl.150, US$SS, ISBN O-7923-1546-4.
- New Frontiers.
Kluwer, Dordrecht,
1992. 310 pp.,
This is a collection of 13 papers from the second conference of the Association for Logic Programming. They represent the original material in the theory, applications and implementation of Prolog. The topics range over such things as “Using Prolog to Animate Mathematics” to “Logic, Language and the Quest for Intelligence” just to mention a few. WPA)
D. Heidrich and J.C. Grossetie (eds.), Computing with T. Node Parallel Architecture. Dordrecht, 1991. 264 pp., Dfl.160, US$SS, UKg54, ISBN O-7923-1483-2.
Kluwer,
Parallel processing is seen today as the means to improve the power of computing facilities by breaking the Von Neumann bottleneck of conventional sequential computer architectures. By defining appropriate parallel computation models, definite advantages can be obtained. The present volume presents 14 course papers of the Eurocourse held at the Joint Research Centre of ISPRA (Italy) in November 1991. The first part on parallel programming consists of 5