Benoit Mandelbrot¿s pioneering research in fractal geometry has affected many areas of mathematics, physics, finance and other disciplines. The papers reprinted in this third volume of his Selected Works center on a detailed study of fractional Brownian functions, best known as the mathematical tools behind the celebrated fractal landscapes. Extensive introductory material preceding the reprints incorporates striking new observations and conjectures. This book explores the fractal themes of ¿self-affinity¿ and ¿globality.¿ The ubiquity of ¿wild¿ temporal and spatial variability led Mandelbrot, in the early 1960¿s, to conclude that those phenomena lie beyond the usual statistical techniques and represent a new state of indeterminism. New mathematical tools are needed, and this book contributes to their development.

'Delightfully magical and brilliantly told' Abi Elphinstone, author of Sky Song on The Boy With One Name

Welcome to the Badlands ... a hidden part of our world full of creatures which most people think exist only in fairy tales and nightmares.

Ruby is trying to change the future. Her fate is in the hands of the council as they prepare to decide once and for all if girls can be Badlanders too.

Jones is running from his past. He’s determined to help Ruby fulfil her destiny, but first he will need to shake off the vengeful ghost of Maitland, the Master he betrayed.

Then they are challenged to solve a notoriously unsolvable case from The Book of Mysteries, and Ruby and Jones think it might just be the lifeline they need. But there’s a reason no Badlander has ever returned from Great Walsingham, and the two friends will have to rely on more than magic if they want to survive…

Dive into a world of magic in an adventure perfect for fans of Abi Elphinstone, Jonathan Stroud and J.K. Rowling.