自然科学と生命科学における幾何学の役割 New Trends in Geometry: Their Role in the Natural and Life Sciences

Boi, Luciano (EDT)/ Bartocci, Claudio (EDT)/ Sinigaglia, Corrado (EDT)

Imperial College Press（2011/05発売）

• 製本 Hardcover:ハードカバー版／ページ数 328 p.
• 言語 ENG
• 商品コード 9781848166424
• DDC分類 516

基本説明

Focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields.

Full Description

This volume focuses on the interactions between mathematics, physics, biology and neuroscience by exploring new geometrical and topological modelling in these fields. Among the highlights are the central roles played by multilevel and scale-change approaches in these disciplines.The integration of mathematics with physics, as well as molecular and cell biology and the neurosciences, will constitute the new frontier of 21st century science, where breakthroughs are more likely to span across traditional disciplines.

Contents

Geometry and Theoretical Physics: The Emergence of Algebraic Geometry in Contemporary Physics; Quantum Gravity and Quantum Geometry; The de Sitter and anti-de Sitter Universes; Geometry and Topology in Relativistic Cosmology; The Problem of Space in Neurosciences: Space in the Cerebral Cortex; Action and Space Representation; The Space Representations in the Brain; The Enactive Constitution of Space; Geometrical Methods in Biological Sciences: Causes and Symmetries in Natural Sciences; Topological Invariants of Geometrical Surfaces and the Protein Folding Problem; The Geometry of Dense Packing and Biological Structures; When Topology Meets Biology 'For Life' - Remarks on how Topological Form Modulates Biological Function.