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COUNTEREXAMPLES IN PROBABILITY AND REAL ANALYSIS IBD

ERIC B HALL / GARY L WISE
OXFORD UNIVERSITY PRESS
10 / 1993
9780195070682
Inglés

Sinopsis

A counterexample is any example or result that is the opposite of one?s intuition or to commonly held beliefs. Counterexamples can have great educational value in illuminating complex topics that are difficult to explain in a rigidly logical, written presentation. For example, ideas in mathematical sciences that might seem intuitively obvious may be proved incorrect with the use of a counterexample. This monograph concentrates on counterexamples for use at the intersection of probability and real analysis, which makes it unique among such treatments. The authors argue convincingly that probability theory cannot be separated from real analysis, and this book contains over 300 examples related to both the theory and application of mathematics. Many of the examples in this collection are new, and manyold ones, previously buried in the literature, are nowaccessible for the first time. In contrast to several othercollections, all of the examples in this book are completelyself-contained--no details are passed off to obscure outsidereferences. Students and theorists across fields as diverseas real analysis, probability, statistics, and engineeringwill want a copy of this book.