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Arithmetic geometry and algebraic dynamical systems are flourishing areas of mathematics. Both subjects have highly technical aspects, yet both of- fer a rich supply of down-to-earth examples. Both have much to gain from each other in techniques and, more importantly, as a means for posing (and sometimes solving) outstanding problems. It is unlikely that new graduate students will have the time or the energy to master both. This book is in- tended as a starting point for either topic, but is in content no more than an invitation. We hope to show that a rich common vein of ideas permeates both...

Malignant brain tumours remain a not uncommon cause of disability and premature death, particularly in children and middle-aged adults. This is only too weIl known by those con- cerned with the dinical management of such patients. Thus, not onlyare malignant cerebral gliomas very aggressive tumours, usually associated with a rapidly fatal outcome, but also it has been recognised more recently that low grade gliomas often have a poor prognosis. Furthermore, the increased application of non-invasive neuroradiological imaging to patients with other types of tumour has disdosed an even larger...