Geometries of nature, living systems and human cognition : new interactions of mathematics with natural sciences and humanities / edited by Luciano Boi.

Format:

Book

Contributor:

Boi, L. (Luciano), 1957-

Language:

English

Subjects (All):

Geometry.

Mathematical physics.

Cognition--Mathematical models.

Cognition.

Physical Description:

1 online resource (444 p.)

Place of Publication:

Hackensack, NJ : World Scientific, c2005.

Language Note:

English

Summary:

The collection of papers forming this volume is intended to provide a deeper study of some mathematical and physical subjects which are at the core of recent developments in the natural and living sciences. The book explores some far-reaching interfaces where mathematics, theoretical physics, and natural sciences seem to interact profoundly. The main goal is to show that an accomplished movement of geometrisation has enabled the discovery of a great variety of amazing structures and behaviors in physical reality and in living matter. The diverse group of expert mathematicians, physicists and n

Contents:

Contents; Foreword; About the Contributors; PART I MATHEMATICAL IDEAS AND TECHNIQUES IN CLASSICAL AND QUANTUM PHYSICS; 1. T-Duality Functional Equation and Noncommutative String Spacetime; 2. On the Soliton-Particle Dualities; PART II KNOTS IN MATHEMATICS AND IN NATURE; 3. Knots; 4. Topological Knots Models in Physics and Biology; PART III MATHEMATICAL AND LOGICAL MODELING IN THE NATURAL SCIENCE AND LIVING SYSTEMS; 5 Beyond Modelling: A Challenge for Applied Mathematics; 6 Fondements Cognitifs de la Geometrie et Experience de L'espace

7 The Reasonable Effectiveness of Mathematics and Its Cognitive Roots8 Pathways of Deduction; 9 Phenomenologie et Theorie des Categories

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786611881122

9781281881120

1281881120

9789812700889

9812700889