Titolo: Exercise Manual in Probability Theory (Mathematics and its Applications)
Editore: Springer
Data di pubblicazione: 2011
Lingua: Inglese
ISBN 10: 9401078181
ISBN 13: 9789401078184
Rilegatura: Brossura
Condizione: New

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Riassunto

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Recensione

`The book is very comprehensive and is recommended to anyone interested in the more mathematical aspects of probability theory. It is written with extreme care and will remain one of the basic references in this field for a long time to come. I would say that this is the best book for all those who are interested in pure and applied probability theory.'
Acta Applicandae Mathematicae, 21 (1990)

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