Counterexamples In Probability And Real Analysis
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Counterexamples In Probability And Real Analysis
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Author : Gary L. Wise
language : en
Publisher: Oxford University Press
Release Date : 1993-10-07
Counterexamples In Probability And Real Analysis written by Gary L. Wise and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-10-07 with Mathematics categories.
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.
Counterexamples In Probability And Real Analysis
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Author : Gary L. Wise
language : en
Publisher:
Release Date : 1993
Counterexamples In Probability And Real Analysis written by Gary L. Wise and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Electronic books categories.
Counterexamples In Probability And Statistics
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Author : Joseph P. Romano
language : en
Publisher: CRC Press
Release Date : 1986-06-01
Counterexamples In Probability And Statistics written by Joseph P. Romano and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-06-01 with Mathematics categories.
This volume contains six early mathematical works, four papers on fiducial inference, five on transformations, and twenty-seven on a miscellany of topics in mathematical statistics. Several previously unpublished works are included.
Counterexamples In Analysis
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Author : Bernard R. Gelbaum
language : en
Publisher: Courier Corporation
Release Date : 2012-07-12
Counterexamples In Analysis written by Bernard R. Gelbaum and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.
These counterexamples deal mostly with the part of analysis known as "real variables." Covers the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, functions of 2 variables, plane sets, more. 1962 edition.
Counterexamples In Probability
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Author : Jordan M. Stoyanov
language : en
Publisher: Courier Corporation
Release Date : 2014-01-15
Counterexamples In Probability written by Jordan M. Stoyanov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with Education categories.
"While most mathematical examples illustrate the truth of a statement, counterexamples demonstrate a statement's falsity. Enjoyable topics of study, counterexamples are valuable tools for teaching and learning. The definitive book on the subject in regards to probability, this third edition features the author's revisions and corrections plus a substantial new appendix. 2013 edition"--
Counterexamples In Probability
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Author : Jordan M. Stoyanov
language : en
Publisher: Courier Corporation
Release Date : 2013-09-18
Counterexamples In Probability written by Jordan M. Stoyanov and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-18 with Mathematics categories.
Most mathematical examples illustrate the truth of a statement; counterexamples demonstrate a statement's falsity. This third edition features the author's revisions and corrections plus a substantial new appendix. 2012 edition.
Counterexamples In Probability
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Author : Ĭordan Stoi︠a︡nov
language : en
Publisher: John Wiley & Sons
Release Date : 1987
Counterexamples In Probability written by Ĭordan Stoi︠a︡nov and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Counterexamples (in the usual mathematical sense) are powerful tools of mathematical theory. In this book the author gives more than 250 drawn from the whole field of probability theory and stochastic processes. The counterexamples are selected for their interest and for the importance of the theory they illustrate. Each section starts with a summary of definitions and main results, followed by counterexamples ordered by content and difficulty. Full references and additional sources are given.
Real Analysis And Probability
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Author : Robert B. Ash (Mathématicien)
language : en
Publisher:
Release Date : 1972
Real Analysis And Probability written by Robert B. Ash (Mathématicien) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with categories.
Theorems And Counterexamples In Mathematics
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Author : Bernard R. Gelbaum
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Theorems And Counterexamples In Mathematics written by Bernard R. Gelbaum and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
The gratifying response to Counterexamples in analysis (CEA) was followed, when the book went out of print, by expressions of dismay from those who were unable to acquire it. The connection of the present volume with CEA is clear, although the sights here are set higher. In the quarter-century since the appearance of CEA, mathematical education has taken some large steps reflected in both the undergraduate and graduate curricula. What was once taken as very new, remote, or arcane is now a well-established part of mathematical study and discourse. Consequently the approach here is designed to match the observed progress. The contents are intended to provide graduate and ad vanced undergraduate students as well as the general mathematical public with a modern treatment of some theorems and examples that constitute a rounding out and elaboration of the standard parts of algebra, analysis, geometry, logic, probability, set theory, and topology. The items included are presented in the spirit of a conversation among mathematicians who know the language but are interested in some of the ramifications of the subjects with which they routinely deal. Although such an approach might be construed as demanding, there is an extensive GLOSSARY jlNDEX where all but the most familiar notions are clearly defined and explained. The object ofthe body of the text is more to enhance what the reader already knows than to review definitions and notations that have become part of every mathematician's working context.
Counterexamples In Measure And Integration
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Author : René L. Schilling
language : en
Publisher: Cambridge University Press
Release Date : 2021-06-17
Counterexamples In Measure And Integration written by René L. Schilling and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-17 with Mathematics categories.
Explore measure and integration theory by asking 'What can go wrong if...' with this selection of over 300 counterexamples.