Rather than investigate methods for recognizing patterns, works toward formalizing the very concept of a pattern in terms of a mathematical framework. Based on her 1991 lectures at Johns Hopkins, Granander presents a catalogue of patterns requiring little mathematical knowledge; reasons about what the patterns have in common, which requires a junior or senior level of mathematics; and applies the pattern theoretic ideas to the construction of algorithms and computer programs to handle and analyze patterns, which requires computer experience. Paper edition (unseen), $24.95. Annotation c. by Book News, Inc., Portland, Or.
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"A dazzling tour de force on patterns. It is a substantial, original contribution by a leader -- indeed, originator -- in the field, and has the potential for significant impact on the direction of future research. It includes a profoundly insightful treatise on patterns, their nature, and the role of randomness in generating and analyzing them. Examples range from language to weaving to cellular biology. Even non-statisticians and non-scientists reading this material will find their thoughts clarified and provoked." -- Alan F. Karr, National Institute of Statistical Sciences
Ulf Grenander is L. Herbert Ballou University Professor of Applied Mathematics at Brown University.
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