Analysis, algebra, and computers in mathematical research

the long version

Presenting the proceedings of the twenty-first Nordic Congress of Mathematicians at Lulea University of Technology, Sweden, this outstanding reference discusses recent advances in analysis, algebra, stochastic processes, and the use of computers in mathematical research. Written by more than 30 leading authorities from Europe and the U.S., Analysis, Algebra, and Computers in Mathematical Research explores new results in research areas such as stochastic partial differential equations, population dynamics, and computer algebra systems ... analyzes the most frequently appearing combinatorial sums and provides a technique for recognizing such formulas ... delineates the ideas behind a methodology based on integrals used to derive matrix perturbation bounds ... introduces shortcuts for solving a system of algebraic equations that is too complex to be handled directly by a symbolic algebra system ... examines a unique method for using the approximation technique on the unit disk on rational supremum norm approximation of continuous time transfer functions ... describes a variant of the Hochster-Reisner theory that seems to be useful in connection with Hilbert functions ... states and proves an original theorem for global stability of a model for competing predators ... and more.