Application of Mathematics to the Sciences of Nature

Critical Moments and Aspects

Inbunden, Engelska, 2002

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2002-03-31
Mått:178 x 254 x 22 mm
Vikt:780 g
Format:Inbunden
Språk:Engelska
Antal sidor:294
Upplaga:2002
Förlag:Springer Science+Business Media
ISBN:9780306466946

Utforska kategorier

Innehållsförteckning

Physics.- 1. Quantum Probability and the Interpretation of Quantum Mechanics: A Crucial Experiment.- 2. An Optical Geometric Model of the Betatronic Motion.- 3. Some Remarks on the Theory of Relativity and the Naïve Realism.- 4. Pattern Induced by Parameter Modulation in Spatiotemporal Chaos.- 5. Chaos and Orbit Complexity.- 6. On the Riemann-Mangoldt Constant.- 7. Long-Term Stability in Circular Accelerators.- 8. Mathematical Models in Beam Dynamics.- Biology.- 9. An Axiomatic Approach to Some Biological Themes.- 10. For an Axiomatic Theory of the Evolutionary Darwinian Ideas: A Proposal.- 11. Fractal Complexity of Membrane Structures in Normal and Neoplastic Cells During Growth and Apoptotic Cell Death.- 12. The Arc, an Unexpected and Still Not Explained Element of the Tracks of Creeping Ciliates.- 13. Natural Population and Community Structure and Dynamics: The “Supply-Side Ecology”, Theory and the Field Data.- History of science.- 14. The History of Theoretical Population Ecology: Which Role for Mathematical Modeling?.- 15. The Mathematics Implied in the Laws of Nature and Realism, or the Role of Functions Around 1750.- 16. Geometry, the Calculus and the Use of Limits in Newton’s Principia.- 17. The Two Faces of Mathematical Modeling: Objectivism vs. Subjectivism, Simplicity vs. Complexity.- 18. The Search for the Mathematization of the Social Disciplines.- 19. Mathematization of the Science of Motion and the Birth of Analytical Mechanics: A Historiographical Note.- 20. Models, Analogies, and Statistical Reason, 1760 – 1900.- 21. Is Music Relevant for the History of Science?.