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At first sight, finitely generated abelian groups and canonical forms of matrices appear to have little in common. However, reduction to Smith normal form, named after its originator H.J.S.Smith in 1861, is a matrix version of the Euclidean algorithm and is exactly what the theory requires in both cases. Starting with matrices over the integers, Part1 of this book provides a measured introduction to such groups: two finitely generated abelian groups are isomorphic if and only if their invariant factor sequences are identical. The analogous theory of matrix similarity over a field is then...

First published in 1949, this book presents the collected works of Christopher Smart, the eighteenth-century poet whose life has an attraction for the curioso of literature. There is the early marriage with Anne Vane, his secret marriage, eighteenth-century Cambridge life, the intrigues of Grub Street, and, finally, insanity and confinement in an asylum. Smart remains a strange, enigmatic figure, repulsive or attractive according to the temperament of the investigator.

His poetry is not easy to disentangle from his character - egocentric, given to exhibitionism, childish,...

Historically, the relationship between towns and surrounding farm families has ranged from suspicion to benign neglect. This book shows that rural America can be revived by uniting the interests of both farm and non-farm populations through value-added enterprises, especially those based on the principles of New Generation Cooperatives (NGCs). Instead of sending agricultural commodities out of the region to be processed, farmers and communities can collaborate to process the commodities locally, thereby adding value to the local rural economy.

In this edited volume, nationally...