Ideas in mathematical sciences that might seem intuitively obvious may be proved incorrect with the use of their counterexamples. This monograph concentrates on counterexamples for use at the intersection of probability and real analysis, which makes it unique among treatments of counterexamples. The authors maintain that, in fact, if taught correctly, probability theory cannot be separated from real analysis.
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an interesting and informative book ... The book is self-contained and the material is presented with great clarity. The reader will find that it is stimulating and thought provoking ... Highly recommended for college and university libraries with graduate programs in mathematical sciences. (D.V. Chopra, Wichita State University, Choice, Jul/Aug '94)
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Etat : Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | 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 inmathematical 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 argueconvincingly 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 many old ones, previously buried in the literature, are now accessiblefor the first time. In contrast to several other collections, all of the examples in this book are completely self-contained--no details are passed off to obscure outside references. Students and theorists across fields as diverse as real analysis, probability, statistics, and engineering will wanta copy of this book. N° de réf. du vendeur 1352876/202
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