Hardcover

ISBN 10: 0521079705 ISBN 13: 9780521079709

Publisher: Cambridge University Press, 1970

When originally published, this text was the first general account of Hausdorff measures, a subject that has important applications in many fields of mathematics. The first of the three chapters contains an introduction to measure theory, paying particular attention to the study of non-sigma-finite measures. The second chapter develops the most general aspects of the theory of Hausdorff measures, and the final chapter gives a general survey of applications of Hausdorff measures followed by detailed accounts of two special applications. This new edition has a foreword by Kenneth Falconer outlining the developments in measure theory since this book first appeared. 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.

Book Description:

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. This new 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.

Review:

'It is indispensable for anyone wishing to introduce himself in the field of fractal geometry, and also to the researchers in this field.' E. Petrisor, Zentralblatt MATH

'... will appeal to experts in the field and can be used as an introduction, with a steep learning curve, for graduate students.' Steve Abbott, The Mathematical Gazette

'... well-known and beautiful book ... written with notable clarity and precision ...' European Mathematical Society