The Akaike information criterion (AIC) derived as an estimator of the Kullback-Leibler information discrepancy provides a useful tool for evaluating statistical models, and numerous successful applications of the AIC have been reported in various fields of natural sciences, social sciences and engineering.
In "The Magic Numbers of Dr. Matrix", Martin Gardner introduces us to this extraordinary man, Dr. Irving Joshua Matrix. Believed by many to be the greatest numerologist who ever lived, Dr. Matrix claims to be a reincarnation of Pythagoras. He was, however, completely unknown to the scientific community until Gardner wrote about him in "Scientific American" in 1960.
Topics in Mathematic Modelling of Composite Materials
Contains English translation of certain fundamental papers by the French and Russian schools, on the macroscopic behavior of microscopically heterogeneous materials. DLC: Composite materials - Mathematical models.
Topology, Geometry, and Algebra: Interactions and New Directions
This volume presents the proceedings from the conference on "Topology, Geometry, and Algebra: Interactions and New Directions" held in honor of R. James Milgram at Stanford University in August 1999. The meeting brought together distinguished researchers from a variety of areas related to algebraic topology and its applications.
Here is a concise and accessible exposition of a wide range of topics in geometric approaches to differential equations. The authors present an overview of this developing subject and introduce a number of related topics, including twistor theory, vortex filament dynamics, calculus of variations, exterior differential systems and Bäcklund transformations. The book is an ideal starting point for graduate students embarking on research.
