Geoffrey Grimmett, Professor of Mathematical Statistics, University of Cambridge,Dominic Welsh, Professor of Mathematics (retired), University of Oxford
Geoffrey Grimmett is Professor of Mathematical Statistics at the University of Cambridge and Master of Downing College, Cambridge. His reserach interests lie in disordered physical systems, including percolation and related processes. He has written numerous research articles in probability theory and statistical mechanics, as well as three research books and two successful textbooks on probability and random processes at the undergraduate and postgraduate levels.
Dominic Welsh held the John von Neumann Professorship at Bonn in 1990-91, and was appointed Professor of Mathematics at Oxford in 1993. His research interests include combinatorics and complexity theory, and he has written more than a hundred papers in these areas. He retired from Oxford University in 2005, and has since then held visiting positions in New Zealand and Barcelona.
Part A BASIC PROBABILITY 1. Events and probabilities 2. Discrete random variables 3. Multivariate discrete distributions and independence 4. Probability generating functions 5. Distribution functions and density functions PART B FURTHER PROBABILITY 6. Multivariate distributions and independence 7. Moments, and moment generating functions 8. The main limit theorems 9. Branching processes 10. Random walks 11. Random processes in continuous time 12. Markov chains