Bücher von Jean-Claude Falmagne

The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or "Gedanken Experiments". Mathematical expressions of scientific laws are, by convention, constrained by the rule that their form must be invariant with changes of the units of their variables.

This book presents a mathematical structure modeling a physical or biological system that can be in any of a number of states. Each state is characterized by a set of binary features, and differs from some other neighbor state or states by just one of those features.

Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Describing the underlying theory and applications involved with ancillary assessment procedures, Learning Spaces provides an overview for mathematically oriented readers in education, computer science, and additional disciplines.

Knowledge Spaces offers a rigorous mathematical foundation for various practical systems of knowledge assessment, applied to real and simulated data. This interdisciplinary representation of the theory of knowledge spaces will be of interest to mathematically oriented readers in computer science and combinatorics.