"Originally published as Absolute or relative motion? volume 1, The discovery of dynamics, Cambridge University Press, 1989".
Absolute or relative motion ?: a study from a Machian point of view of the discovery and the structure of...
In accordance with the scholastic legacy of St. Augustine and St. Thomas Aquinas, the theory of knowledge in all its diverse aspects was completely dependent on theology and ontology. Science in the modern sense of the word was ...
A History of Complex Dynamics
FolJowing the formulation of the laws of mechanics by Newton, Lagrange sought to clarify and emphasize their geometrical character.
Additional Readings 835 A discussion of parallel-processing simulations is found in: [5.3] B. M. Boghosian, ... Chapter 6 keywords: evolution; evolution (biology); heredity; adaptation(biology); variation (biology); natural selection; ...
Starting with the basics of Hamiltonian dynamics and canonical transformations, this text follows the historical development of the theory culminating in recent results: the Kolmogorov–Arnold–Moser theorem, Nekhoroshev's theorem and ...
Written by one of the most respected mathematicians in the field, this book conveys the essential mathematical ideas in dynamical systems using a combination of theory and computer experimentation.
This is the first book to introduce the irrational elliptic function series, providing a theoretical treatment for the smooth and discontinuous system and opening a new branch of applied mathematics.
This set of lectures collects surveys of open problems in celestial dynamics and dynamical astronomy applied to solar, extra-solar and galactic systems. Emphasis is on questions of stability of planetary systems.
This book is written for undergraduate students with the prerequisites for a first analysis course, and it can easily be used by any faculty member in a mathematics department, regardless of area of expertise.