Analysis, algebra, and computers in mathematical research

Analysis, algebra, and computers in mathematical research

BOOK REVIEW Analysis, Algebra, and Computers in Mathematical Research Proceedings of the 21~ Nordic Congress of Mathematicians Mats Gyllenberg and Lar...

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BOOK REVIEW Analysis, Algebra, and Computers in Mathematical Research Proceedings of the 21~ Nordic Congress of Mathematicians Mats Gyllenberg and Lars Erik Persson, editors Marcel Dekker, New York, 1994, $150 About

half

of

the

26

papers

in

this

volume are concerned with pure research in algebra, analysis, and geometry; four papers deal with computing in mathematical research; the remainder is a mixture of new results in areas such as

numerical analysis, stochastic partial differential equations, modelling, wavelets, and quantum mechanics. The following articles may be of particular interest to readers of this journal: Null Recurrence in a Stochastic Ricker Model (The authors consider a nonlinear stochastic difference equation which can be viewed as a stochastic perturbation of Ricker’s deterministic model of population growth.); Applications of Massive Computations: The Artin Conjecture, Next Generation Computer Algebra Systems AXIOM and the Scratchpad Concept (AXIOM is a new computer algebra system based on the concepts of domains and categories and is commercially available from NAG, Oxford.);

Global Stability of a Model for Competing Predators, Inverse Scattering Problem for a Quantum Mechanical Two-Body System, Wavelet Transforms with the Franklin System and Application in Image Processing, The Coupling Method and Regenerative Processes, Stochastic Partial Differential Equations-A Mathematical Connection between Macrocosmos and Microcosmos (This article gives a very readable introduction to SPDEs with applications such as population modelling, fluid flow, transport in a turbulent medium, and nonlinear filtering.).

Dr. M. Planitz

Appl. Math. Modelling

1995, Vol. 19, May 0 1995 by Elsevier Science Inc. 655 Avenue of the Americas, New York, NY 10010

0307-904x/95/$10.00 SSDI 0307-904X(95)00045-L