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Knowledge Spaces
Knowledge spaces offer a rigorous mathematical foundation for various practical systems of knowledge assessment. An example is offered by the ALEKS system (Assessment and LEarning …
The Elements of Mathematics from a Modern Viewpoint I: Elementary Number Theory, Rational Numbers, Set Theory, Basic Algebra, Geometry, Probability Th
This book covers all the mathematics taught in the US, from grade 4 to the end of high school, starting with Elementary Number Theory to Probability Theory and Statistics. The …
The Elements of Mathematics from a Modern Viewpoint II: The Problems and Their Solutions
This book is the companion volume of "The Elements of Mathematics from a Modern Viewpoint I", which contains about 1000 problems on the various subjects. Volume II recalls these …
Knowledge Spaces
The book describes up-to-date applications and relevant theoretical results. These applications come from various places, but the most important one, numerically speaking, is the …
Media Theory
The focus of this book is 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 …
Elements of Psychophysical Theory
This book presents the basic concepts of classical psychophysics, derived from Gustav Fechner, as seen from the perspective of modern measurement theory. The theoretical discussion …
Mathematical Psychology
Sometime in the late sixties, one of the editors of this volume realized that the mathematica psychologists in Europe-an odd lot mostly concentrated in Germany, the Netherlands, …
On Meaningful Scientific Laws
The authors describe systematic methods for uncovering scientific laws a priori, on the basis of intuition, or “Gedanken Experiments”. Mathematical expressions of scientific laws …
Learning Spaces
Learning spaces offer a rigorous mathematical foundation for practical systems of educational technology. Learning spaces generalize partially ordered sets and are special cases of …