Counterexamples
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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 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 Several previously unpublished works are included.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 Topology
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Author : Lynn Arthur Steen
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Counterexamples In Topology written by Lynn Arthur Steen and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Over 140 examples, preceded by a succinct exposition of general topology and basic terminology. Each example treated as a whole. Numerous problems and exercises correlated with examples. 1978 edition. Bibliography.
Counterexamples
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Author : Andrei Bourchtein
language : en
Publisher: CRC Press
Release Date : 2014-09-09
Counterexamples written by Andrei Bourchtein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-09 with Mathematics categories.
This book provides a one-semester undergraduate introduction to counterexamples in calculus and analysis. It helps engineering, natural sciences, and mathematics students tackle commonly made erroneous conjectures. The book encourages students to think critically and analytically, and helps to reveal common errors in many examples.In this book, the
Counterexamples In Calculus
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Author : Sergiy Klymchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Counterexamples In Calculus written by Sergiy Klymchuk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.
Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.
Counterexamples In Operator Theory
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Author : Mohammed Hichem Mortad
language : en
Publisher: Springer Nature
Release Date : 2022-05-03
Counterexamples In Operator Theory written by Mohammed Hichem Mortad and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-03 with Mathematics categories.
This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces. This volume is geared towards graduate students studying operator theory, and the author has designated the difficulty level for each counterexample, indicating which ones are also suitable for advanced undergraduate students. The first half of the book focuses on bounded linear operators, including counterexamples in the areas of operator topologies, matrices of bounded operators, square roots, the spectrum, operator exponentials, and non-normal operators. The second part of the book is devoted to unbounded linear operators in areas such as closedness and closability, self-adjointness, normality, commutativity, and the spectrum, concluding with a chapter that features some open problems. Chapters begin with a brief “Basics” section for the readers’ reference, and many of the counterexamples included are the author’s original work. Counterexamples in Operator Theory can be used by students in graduate courses on operator theory and advanced matrix theory. Previous coursework in advanced linear algebra, operator theory, and functional analysis is assumed. Researchers, quantum physicists, and undergraduate students studying functional analysis and operator theory will also find this book to be a useful reference.
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 Mathematics 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 Calculus
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Author : Sergiy Klymchuk
language : en
Publisher: American Mathematical Soc.
Release Date : 2010-12-31
Counterexamples In Calculus written by Sergiy Klymchuk and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with Mathematics categories.
Counterexamples in Calculus serves as a supplementary resource to enhance the learning experience in single variable calculus courses. This book features carefully constructed incorrect mathematical statements that require students to create counterexamples to disprove them. Methods of producing these incorrect statements vary. At times the converse of a well-known theorem is presented. In other instances crucial conditions are omitted or altered or incorrect definitions are employed. Incorrect statements are grouped topically with sections devoted to: Functions, Limits, Continuity, Differential Calculus and Integral Calculus. This book aims to fill a gap in the literature and provide a resource for using counterexamples as a pedagogical tool in the study of introductory calculus.
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.