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This new edition keeps the same structure as the first edition but includes additional material on probability, Bayes' theorem, diffusion problems, osmosis, the Ising model, Monte-Carlo simulations, and radiative transfer in atmospheric physics. We have also taken the opportunity to improve the treatment of various topics, including the discussion of constraints and the presentation of the Fermi-Dirac and Bose-Einstein distributions, as well as correcting various errors. We are particularly grateful to the following people who have pointed out errors or omissions and made highly relevant comments: David Andrews, John Aveson, Ryan Buckingham, Radu Coldea, Merlin Cooper, Peter Coulon, Peter Duffy, Ted Einstein, Joe Fallon, Amy Fok, Felix Flicker, William Frass, Andrew Garner, Paul Hennin, Ben Jones, Stephen Justham, Austen Lamacraft, Peter Liley, Gabriel McManus, Adam Micolich, Robin Moss, Alan O'Neill, Elena Nickson, Wilson Poon, Caity Rice, Andrew Steane, Nicola van Leeuwen, Yan Mei Wang, Peter Watson, Helena Wilding, and Michael Williams. We have once again enjoyed the support of the staff of OUP and, in particular, our copy-editor Alison Lees, who trawled through the manuscript with meticulous care, making many important improvements. Myles Allen, David Andrews, and William Ingram gave us very pertinent and instructive comments about the treatment of atmospheric physics and their input has been invaluable. Thanks are also due to Geoff Brooker, who shared his profound insights into the nature of free energies, and Tom Lancaster, who once again made numerous helpful suggestions.
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