Counterexamples in Probability and Real Analysis

Gary L. Wise

ISBN 10: 0195070682 / ISBN 13: 9780195070682

Published by Oxford University Press, 1993

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - A counterexample is any example or result that is theopposite of one's intuition or to commonly held beliefs.Counterexamples can have great educational value inilluminating complex topics that are difficult to explain ina rigidly logical, written presentation. For example, ideasin mathematical sciences that might seem intuitively obviousmay be proved incorrect with the use of a counterexample.This monograph concentrates on counterexamples for use atthe intersection of probability and real analysis, whichmakes it unique among such treatments. The authors argueconvincingly that probability theory cannot be separatedfrom real analysis, and this book contains over 300 examplesrelated 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.

Seller Inventory # 9780195070682

Bibliographic Details

• Title: Counterexamples in Probability and Real Analysis
• Publisher: Oxford University Press
• Publication Date: 1993
• Language: English
• ISBN 10: 0195070682
• ISBN 13: 9780195070682
• Binding: Buch
• Condition: Neu
• Dimensions: 240W x 161H x 17D millimeters 240 millimeters width by 161 millimeters height by 17 millimeters depth
• Weight: 505 grams

About this title

Synopsis

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 many old ones, previously buried in the literature, are now accessible for 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 want a copy of this book.

About the Author

Gary L. Wise is at University of Texas, Austin. Eric B. Hall is at Southern Methodist University.