In addition to a significant number of smaller revisions and chapter updates, the third edition thoroughly expands on the understanding of universal spectral fluctuations, and - to subsequently make the presentation of all semi-classical developments self-contained - a new chapter on classical Hamiltonian chaos has been inserted.
From the reviews of the 2nd edition: In summary, this is definitely an essential reference book for the specialist. It will also ably serve someone entering the field for the first time who needs to learn the theoretical state of the art in detail." (G. Summy ,University of Oxford, Contemporary Physics 2002, vol. 43, p 232)
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