The Application of Mathematics to the Sciences of Nature: Critical Moments and Aspects / Edition 1

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Overview

The increasing use of mathematical models in the sciences, primarily in biology, chemistry, geology, and physics, generates much interest and attention. This book brings together evolutionary and population biologists, physicists, mathematicians, and historians of science and allows them to discuss how, in an increasingly interdisciplinary manner, mathematics and mathematical models are used today in the natural sciences.

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Product Details

  • ISBN-13: 9780306466946
  • Publisher: Springer US
  • Publication date: 3/31/2002
  • Edition description: 2002
  • Edition number: 1
  • Pages: 294
  • Product dimensions: 0.75 (w) x 6.14 (h) x 9.21 (d)

Table of Contents

Preface. Physics. Quantum Probability and the Interpretation of Quantum Mechanics: A Crucial Experiment; L. Accardi, M. Regoli. An Optical Geometric Model of the Betratonic Motion; A. Bazzani, P. Freguglia. Some Remarks on the Theory of Relativity and the Naïve Realism; V. Benci. Pattern Induced by Parameter Modulation in Spatiotemporal Chaos; L. Fronzoni. Chaos and Orbit Complexity; S. Galatolo. On the Riemann-Mangoldt Constant; D. Merlini, L. Rusconi. Long-Term Stability in Circular Accelerators; W. Scandale. Mathematical Models in Beam Dynamics; G. Turchetti. Biology. An Axiomatic Approach to Some Biological Themes; M. Forti, et al. A Proposal for an Axiomatic Theory of the Evolutionary Darwinian Ideas; P. Freguglia. Fractal Complexity of Membrane Structures in Normal and Neoplastic Cells; G.A. Losa. The Arc, an Unexpected and Still Not Explained Element of the Tracks of Creeping Ciliates; N. Ricci, et al. Natural Population and Community Structure and Dynamics: The 'Supply-Side Ecology', Theory and the Field Data; G. Santangelo. History of Science. The History of Theoretical Population Ecology. Which Role for Mathematical Modeling? L. Andreozzi. The Mathematics Implied in the Laws of Nature and Realism, or the Role of Functions Around 1750; J. Dhombres. Geometry, the Calculus and the Use of Limits in Newton's Principia; N. Guicciardini. The Two Faces of Mathematical Modeling: Objectivism vs. Subjectivism, Simplicity vs. Complexity; G. Israel. The Search for the Mathematization of the Social Disciplines; S. Menteiro. Mathematization of the Science of Metion and the Birth of Analytical Mechanics. A Historiographical Note; M. Panza. Models, Analogies, and Statistical Reason, 1760-1900; T. Porter. Is Music Relevant for the History of Science; T. Tonietti.

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