Hausdorff Measures
Hausdorff Measures by Claude Ambrose Rogers, published by Cambridge University Press on October 22, 1998, is a comprehensive exploration of Hausdorff measures, a topic with significant applications across various fields of mathematics. This second edition spans 195 pages and is presented in English. The book is structured into three chapters, beginning with an introduction to measure theory that emphasizes non-s-finite measures, followed by an in-depth examination of the theory of Hausdorff measures, and concluding with a survey of its applications.
Readers will find a detailed account of the theoretical foundations and practical implications of Hausdorff measures, making it suitable for graduate mathematicians who are new to the subject. The final chapter includes specific applications, enhancing the understanding of how these measures are utilized in mathematical analysis, algebra, and calculus. This edition also features a foreword by Kenneth Falconer, which discusses advancements in measure theory since the book’s original publication, providing additional context for both novices and experts in the field.
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When it was first published this was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. There are three chapters: the first contains an introduction to measure theory, paying particular attention to the study of non-s-finite measures. The second develops the most general aspects of the theory of Hausdorff measures, and the third gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This edition has a foreword by Kenneth Falconer outlining the developments in measure theory since this book first appeared. Based on lectures given by the author at University College London, this book is ideal for graduate mathematicians with no previous knowledge of the subject, but experts in the field will also want a copy for their shelves.
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