This lovely little book will take off and fly on its own power, but the
author has asked me to write a few words, and one should not say no to a
friend. Specific topics in fractal geometry and its applications have
already benefited from several excellent surveys of moderate length, and
gossip and preliminary drafts tell us that we shall soon see several
monographic treatments of broader topics. For the teacher, however,
these surveys and monographs are not enough, and an urgent need for more
helpful books has been widely recognized. To write such a book is no
easy task, but Jens Feder meets the challenge head on. His approach
combines the old Viking's willingness to attack many difficulties at the
same time, and the modern Norwegian's ability to achieve fine balance
between diverging needs. lowe him special gratitude for presenting the
main facts about R/ S analysis of long-run dependence; now a wide
scientific public will have access to a large group of papers of mine
that had until this day remained fairly confidential. Last but not
least, we are all grateful to Jens for not having allowed undue personal
modesty to deprive us of accounts of his own group's varied and
excellent work. He did not attempt to say everything, but what he said
is just fine. Benoit B. Mandelbrot Physics Department, IBM Thomas J.