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

Couverture
P. CERRAI (Ed), P. FREGUGLIA (Ed), C. PELLEGRINI (Ed)
Springer Science & Business Media, 31 mars 2002 - 294 pages
The historical and epistemological reflection on the applications of mathematical techniques to the Sciences of Nature - physics, biology, chemistry, and geology - today generates attention and interest because of the increasing use of mathematical models in all sciences and their high level of sophistication. The goal of the meeting and the papers collected in this proceedings volume is to give physicists, biologists, mathematicians, and historians of science the opportunity to share information on their work and reflect on the and mathematical models are used in the natural sciences today and in way mathematics the past. The program of the workshop combines the experience of those working on current scientific research in many different fields with the historical analysis of previous results. We hope that some novel interdisciplinary, philosophical, and epistemological considerations will follow from the two aspects of the workshop, the historical and the scientific· This proceedings includes papers presented at the meeting and some of the results of the discussions that took place during the workshop. We wish to express our gratitude to Sergio Monteiro for all his work, which has been essential for the successful publication of these proceedings. We also want to thank the editors of Kluwer AcademidPlenum Publishers for their patience and constant help, and in particular Beth Kuhne and Roberta Klarreich. Our thanks to the fallowing institutions: -Amministrazione Comunale di Arcidosso -Comunita Montana del Monte Amiata ·Center for the History of Physics, UCLA -Centre F.
 

Avis des internautes - Rédiger un commentaire

Aucun commentaire n'a été trouvé aux emplacements habituels.

Pages sélectionnées

Table des matières

QUANTUM PROBABILITY AND THE INTERPRETATION OF QUANTUM MECHANICS A CRUCIAL EXPERIMENT
3
AN OPTICAL GEOMETRIC MODEL OF THE BETATRONIC MOTION
25
SOME REMARKS ON THE THEORY OF RELATIVITY AND THE NAIVE REALISM
39
PATTERN INDUCED BY PARAMETER MODULATION IN SPATIOTEMPORAL CHAOS
79
CHAOS AND ORBIT COMPLEXITY
87
ON THE RIEMANNMANGOLDT CONSTANT
101
LONGTERM STABILITY IN CIRCULAR ACCELERATORS
109
MATHEMATICAL MODELS IN BEAM DYNAMICS
117
NATURAL POPULATION AND COMMUNITY STRUCTURE AND DYNAMICS THE SUPPLYSIDE ECOLOGY THEORY AND THE FIELD DA...
179
HISTORY OF SCIENCE
189
THE HISTORY OF THEORETICAL POPULATION ECOLOGY WHICH ROLE FOR MATHEMATICAL MODELING?
191
THE MATHEMATICS IMPLIED IN THE LAWS OF NATURE AND REALISM OR THE ROLE OF FUNCTIONS AROUND 1750
207
GEOMETRY THE CALCULUS AND THE USE OF LIMITS IN NEWTONS PRINCIPIA
223
THE TWO FACES OF MATHEMATICAL MODELING OBJECTIVISM VS SUBJECTIVISM SIMPLICITY VS COMPLEXITY
233
THE SEARCH FOR THE MATHEMATIZATION OF THE SOCIAL DISCIPLINES
245
MATHEMATIZATION OF THE SCIENCE OF MOTION AND THE BIRTH OF ANALYTICAL MECHANICS A HISTORIOGRAPHICAL NOTE
253

BIOLOGY
137
AN AXIOMATIC APPROACH TO SOME BIOLOGICAL THEMES
139
FOR AN AXIOMATIC THEORY OF THE EVOLUTIONARY DARWINIAN IDEAS A PROPOSAL
155
FRACTAL COMPLEXITY OF MEMBRANE STRUCTURES IN NORMAL AND NEOPLASTIC CELLS DURING GROWTH AND APOPTOTIC CE...
161
THE ARC AN UNEXPECTED AND STILL NOT EXPLAINED ELEMENT OF THE TRACKS OF CREEPING CILIATES
171
MODELS ANALOGIES AND STATISTICAL REASON 17601900
273
IS MUSIC RELEVANT FOR THE HISTORY OF SCIENCE?
281
INDEX
293
Droits d'auteur

Autres éditions - Tout afficher

Expressions et termes fréquents

Fréquemment cités

Page 252 - John von Neumann and Oskar Morgenstern, Theory of Games and Economic Behavior.

Informations bibliographiques