Geometries of nature, living systems and human cognition : new interactions of mathematics with natural sciences and humanities /

Geometries of nature, living systems and human cognition : new interactions of mathematics with natural sciences and humanities / edited by Luciano Boi. - Singapore ; Hackensack, NJ : World Scientific, ©2005. - 1 online resource (xxiii, 419 pages) : illustrations (some color)

Includes bibliographical references.

pt. I. Mathematical ideas and techniques in classical and quantum physics : 1. T-duality, functional equation, and noncommutative string spacetime / On the soliton-particle dualities / pt. II. Knots in mathematics and in nature : 3. Knots / Topological knots models in physics and biology / pt. III. Mathematical and logical modeling in the natural sciences and living systems : 5. Beyond modeling: a challenge for applied mathematics / Fondements cognitifs de la géométrie et expérience de l'espace / The reasonable effectiveness of mathematics and it cognitive roots / Pathways of deductions / Phénoménologie et théories des catégories / M. Lapidus -- 2. F. Hélein and J. Kouneiher -- L.H. Kauffman -- 4. L. Boi -- P.T. Saunders -- 6. A. Berthoz -- 7. G. Longo -- 8. A. Carbone -- 9. F. Patras.

Intended to provide a study of some mathematical and physical subjects which are at the core of developments in the natural and living sciences. This book aims to show that an accomplished movement of geometrisation has enabled the discovery of a varietyof structures and behaviors in physical reality and in living matter.


In English and French.

9789812700889 (electronic bk.) 9812700889 (electronic bk.) 1281881120 9781281881120


Geometry.
Mathematical physics.
Cognition--Mathematical models.
Géométrie.
Physique mathématique.
Cognition--Modèles mathématiques.
geometry.
SCIENCE--Energy.
SCIENCE--Mechanics--General.
SCIENCE--Physics--General.
Cognition--Mathematical models.
Geometry.
Mathematical physics.


Electronic books.

QC20.7.G44 / G464 2005eb

530

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