Counterexamples In Topology

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Counterexamples In Topology

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Author : Lynn Arthur Steen
language : en
Publisher: Courier Corporation
Release Date : 1995-01-01

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 1995-01-01 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 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 In Topology

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Author : Lynn A. Steen
language : en
Publisher:
Release Date : 1970

Counterexamples In Topology written by Lynn A. Steen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Topological spaces categories.

Counterexamples In Topological Vector Spaces

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Author : S.M. Khaleelulla
language : en
Publisher: Springer
Release Date : 2006-11-17

Counterexamples In Topological Vector Spaces written by S.M. Khaleelulla and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-17 with Mathematics categories.

Counterexamples In Topology

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Author : Lynn Arthur Steen
language : it
Publisher:
Release Date : 1970

Counterexamples In Topology written by Lynn Arthur Steen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.

Some Counterexamples In Topology

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Author : Barbara Skaras Fairchild
language : en
Publisher:
Release Date : 1974

Some Counterexamples In Topology written by Barbara Skaras Fairchild and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Topology categories.

Introduction To Piecewise Linear Topology

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Author : Colin P. Rourke
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Introduction To Piecewise Linear Topology written by Colin P. Rourke 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 first five chapters of this book form an introductory course in piece wise-linear topology in which no assumptions are made other than basic topological notions. This course would be suitable as a second course in topology with a geometric flavour, to follow a first course in point-set topology, andi)erhaps to be given as a final year undergraduate course. The whole book gives an account of handle theory in a piecewise linear setting and could be the basis of a first year postgraduate lecture or reading course. Some results from algebraic topology are needed for handle theory and these are collected in an appendix. In a second appen dix are listed the properties of Whitehead torsion which are used in the s-cobordism theorem. These appendices should enable a reader with only basic knowledge to complete the book. The book is also intended to form an introduction to modern geo metric topology as a research subject, a bibliography of research papers being included. We have omittedacknowledgements and references from the main text and have collected these in a set of "historical notes" to be found after the appendices.

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.

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 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.