Encyclopedia of Complexity and Systems Science

Living Edition
| Editors: Robert A. Meyers

Philosophy of Science, Mathematical Models in

  • Zoltan Domotor
Living reference work entry
DOI: https://doi.org/10.1007/978-3-642-27737-5_407-3

A Brief Historical Introduction

The subject of mature mathematical models in the form of equations has its roots in post-Newtonian developments of classical mechanics, hydrodynamics, electromagnetism, and kinetic theory of gases. It came on the scene of applied mathematics gradually, during the analytic period before 1880, thanks to the innovative efforts of great scientists, including, among many others, the Swiss mathematician Leonhard Euler (1707–1783), Italian-French mathematician Joseph Louis Lagrange (1736–1813), French astronomer–physicist Pierre Simon de Laplace (1749–1827), Scottish physicist James Clerk Maxwell (1831–1979), English physicist Lord John William Strutt Rayleigh (1842–1919), and Austrian physicist Ludwig Boltzmann (1844–1906). It was the genius of the French mathematician Henri Poincaré (1854–1912) that generated many of our current topological and differential methods of mathematical modeling in the world of dynamical systems. A structuralistset-theoretic...


Target System Prey Population Predator Population Prey Model Biological Population 
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© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.University of PennsylvaniaPhiladelphiaUSA