From its initial publication this book has been a standard text on the subject. Since then there has been increased interest and work has developed in many areas, thus prompting a new edition. Following the style of the first edition, the authors make the results and methods of stochastic geometry and spatial statistics accessible to practitioners and non-theoreticians. The book is also ideal as an introduction to the subject for mathematicians. The exposition is mathematically precise and takes into account the latest results. However, in many cases proofs are omitted. Applied scientists who may not wish to follow the mathematical arguments in detail will still be able to interpret and use the formulae. As well as being of great interest to statisticians, this treatment of the subject has proved useful to applied scientists working in fields such as geology, biology, microscopy and materials, science, and to pure mathematicians working in geometry.