New trends in geometry : their role in the natural and life sciences
著者
書誌事項
New trends in geometry : their role in the natural and life sciences
Imperial College Press , World Scientific [distributor], c2011
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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.
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