About Volume 1 "The author has managed to present a vast amount of mathematical material in a rather small space, with- out loss of clarity, by using only the most efficient and elegant methods (many of the proofs are new) . He is one of the rare individuals who not only know, and can present with clarity, the most mathematically advanced parts of their subject, but also never lose contact with the real world to which the theory is to be applied."-R. P. Boas, Jr., in Scripta Mathematica. The third edition of this well- known book has been thoroughly re- vised and expanded to facilitate reading. Many sections are rewritten. In particular, a new version of Chapter Ill substitutes simplified probabilistic arguments for the combinatorial artifices in the second edition. Other major additions include new sections on branching processes, Markov chains, and the DeMoivre-Laplace theorem. About the author WILLIAM FELLER received his M.S. from the University of Zagreb (Yugoslavia) in 1925 and his Ph.D. from the University of Göttingen one year later. After pursuing an academic career at the Universities of Göttingen, Kiel, Copenhagen, and Stockholm, he came in 1939 to the United States. Until 1945 he was an Associate Professor of Mathematics at Brown University and Executive Editor of Mathematical Reviews. From 1945 to 1950, Feller has served as Professor of Mathematics at Cornell University. He is now Eugene Higgins Professor of Mathematics at Princeton University, and Visiting Professor at The Rockefeller University, New York, New York.
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