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294 Reviews [Part 2, 3. Linear Programming and Extensions. By George B. Dantzig. Princeton, Princeton University Press; London, Oxford University Press; 1963. xvii, 625 p. 9f'. 92s. It is not given to many to create a new mathematical discipline and then to write an encyclopaedic account of it. The nearest case that comes to mind is von Neumann's development of the theory of games. In both cases others cooperated on the authoritative text that contains those topics to which the respective main authors have contributed, and in both cases the interval between first publications and appearance of the book was roughly the same, about 15 years. The similarity between the book of von Neumann and Morgenstern and the present book by Dantzig goes even somewhat further. No one should suggest that the former is a book for the beginner, and the same qualification applies to Professor Dantzig's volume. This is not said in any spirit of deprecation. Linear Programming and Extensions contains everything about linear programming to which the author has himself contributed, with generous allocations of credit to others. It contains also a fascinating account of the first steps in this area, of forerunners and of contemporaries. If
Journal of the Royal Statistical Society Series A (Statistics in Society) – Oxford University Press
Published: Dec 5, 2018
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