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Nonlinear Perron–Frobenius Theory
In the past several decades the classical Perron–Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron–Frobenius theory has found significant uses in computer science, mathematical biology, game theory and the study of dynamical systems. This is the first comprehensive and unified introduction to nonlinear Perron–Frobenius theory suitable for graduate students and researchers entering the field for the first time. It acquaints the reader with recent developments and provides a guide to challenging open problems. To enhance accessibility, the focus is on finite dimensional nonlinear Perron–Frobenius theory, but pointers are provided to infinite dimensional results. Prerequisites are little more than basic real analysis and topology.
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Perran-Zabuloe
The curate William Haslam (1817–1905) focuses here on the ruins of St Piran's oratory, for many years lost to Cornwall's shifting sands. First published in 1844, his work laments the site's fate: first destroyed by its environment, then, upon its rediscovery, pillaged by trophy hunters. Highlighting the importance of Cornwall's frequently overlooked ecclesiastical antiquities, of which the oratory is perhaps the most compelling example, Haslam also gives an account of his local parish. The work describes the surrounding landscape, before going into an analysis of the oratory itself, with a small number of accompanying illustrations. An account of the life of St Piran, who has come to be regarded as Cornwall's patron saint, complements the history of Christianity's growth in the area, which resulted in the oratory's construction. With a strong emphasis on the oratory's importance as an early Christian site, this study will appeal to readers interested in architectural, church and local history.
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