This work outlines the beginning of a new attempt at an Integrated Theory of Intelligence. A complete understanding of intelligence requires a multitude of interdisciplinary ideas. Instead, we abstract out many specifics in favor of purely computational building blocks. This ena…
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This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.
Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any …
Matroid theory is a vibrant area of research that provides a unified way to understand graph theory, linear algebra and combinatorics via finite geometry. This book provides the first comprehensive introduction to the field which will appeal to undergraduate students and to any …
This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.
Difference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of finite groups. It makes t…
"Based on a lecture series given by the authors at a satellite meeting of the 2006 International Congress of Mathematicians and on many articles written by them and their collaborators, this volume provides a comprehensive up-to-date survey of several core areas of combinatorial…