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

Contributor(s): Material type: TextTextLanguage: English, French Publication details: Singapore ; Hackensack, NJ : World Scientific, ©2005.Description: 1 online resource (xxiii, 419 pages) : illustrations (some color)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789812700889
  • 9812700889
  • 1281881120
  • 9781281881120
Subject(s): Genre/Form: Additional physical formats: Print version:: Geometries of nature, living systems and human cognition.DDC classification:
  • 530 22
LOC classification:
  • QC20.7.G44 G464 2005eb
Online resources:
Contents:
pt. I. Mathematical ideas and techniques in classical and quantum physics : 1. T-duality, functional equation, and noncommutative string spacetime / M. Lapidus -- 2. On the soliton-particle dualities / F. Hélein and J. Kouneiher -- pt. II. Knots in mathematics and in nature : 3. Knots / L.H. Kauffman -- 4. Topological knots models in physics and biology / L. Boi -- pt. III. Mathematical and logical modeling in the natural sciences and living systems : 5. Beyond modeling: a challenge for applied mathematics / P.T. Saunders -- 6. Fondements cognitifs de la géométrie et expérience de l'espace / A. Berthoz -- 7. The reasonable effectiveness of mathematics and it cognitive roots / G. Longo -- 8. Pathways of deductions / A. Carbone -- 9. Phénoménologie et théories des catégories / F. Patras.
Summary: 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.
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Includes bibliographical references.

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

Print version record.

In English and French.

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