The study and application of N-body problems has had an important role in the history of mathematics. In recent years, the availability of modern computer technology has added to their significance, since computers can now be used to model material bodies as atomic and molecular configurations, i.e. as N-body configurations. This book can serve either as a handbook or as a text. Methodology; intuition, and applications are interwoven throughout. Nonlinearity and determinism are emphasized. The book can be used on any level provided that the reader has at least some ability with numerical methodology, computer programming, and basic physics. It will be of interest to mathematicians, engineers, computer scientists, physicists, chemists, and biologists. The important features of the book are: (1) development of turbulent flow which is consistent with experimentation, unlike any continuum model; (2) applicability to rotating tops with nonuniform density; (3) conservative methodology which conserves the same energy and momentum as continuous systems.

The 1-Body Problem

N-Body Problems with 2GBPNGBP10

N-Body Problems with 100GBPNGBP10 000

N (number of molecules) > 10 000. The Gravity Problem

N (number of molecules) > 10 000. Crack and Fracture Development

N (number of molecules) > 10 000

Contact Angle of Adhesion

N (number of molecules) > 10 000. Carbon Dioxide Bubbles in Water

A Particle Model of a Dodecahedral Rotating Top

A Particle Model of Self-Reorganization

A Particle Model of a Bouncing Elastic Ball

A Particle Model of String Solitons

Particle Models of Minimal Surfaces and Saddle Surfaces

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