Uniform Convergence for Monotone Mappings

Uniform Convergence for Monotone Mappings PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 26

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Uniform Convergence for Monotone Mappings

Uniform Convergence for Monotone Mappings PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 26

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Book Description


Uniform Convergence for Monotone Mappings

Uniform Convergence for Monotone Mappings PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 998

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On Convergence of Mappings

On Convergence of Mappings PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 34

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The Topology of Uniform Convergence on Order-Bounded Sets

The Topology of Uniform Convergence on Order-Bounded Sets PDF Author: Y.-C. Wong
Publisher: Springer
ISBN: 3540382682
Category : Mathematics
Languages : en
Pages : 169

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Quasi-open Mappings

Quasi-open Mappings PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 24

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Counterexamples on Uniform Convergence

Counterexamples on Uniform Convergence PDF Author: Andrei Bourchtein
Publisher: John Wiley & Sons
ISBN: 1119303427
Category : Mathematics
Languages : en
Pages : 474

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Book Description
A comprehensive and thorough analysis of concepts and results on uniform convergence Counterexamples on Uniform Convergence: Sequences, Series, Functions, and Integrals presents counterexamples to false statements typically found within the study of mathematical analysis and calculus, all of which are related to uniform convergence. The book includes the convergence of sequences, series and families of functions, and proper and improper integrals depending on a parameter. The exposition is restricted to the main definitions and theorems in order to explore different versions (wrong and correct) of the fundamental concepts and results. The goal of the book is threefold. First, the authors provide a brief survey and discussion of principal results of the theory of uniform convergence in real analysis. Second, the book aims to help readers master the presented concepts and theorems, which are traditionally challenging and are sources of misunderstanding and confusion. Finally, this book illustrates how important mathematical tools such as counterexamples can be used in different situations. The features of the book include: An overview of important concepts and theorems on uniform convergence Well-organized coverage of the majority of the topics on uniform convergence studied in analysis courses An original approach to the analysis of important results on uniform convergence based\ on counterexamples Additional exercises at varying levels of complexity for each topic covered in the book A supplementary Instructor’s Solutions Manual containing complete solutions to all exercises, which is available via a companion website Counterexamples on Uniform Convergence: Sequences, Series, Functions, and Integrals is an appropriate reference and/or supplementary reading for upper-undergraduate and graduate-level courses in mathematical analysis and advanced calculus for students majoring in mathematics, engineering, and other sciences. The book is also a valuable resource for instructors teaching mathematical analysis and calculus. ANDREI BOURCHTEIN, PhD, is Professor in the Department of Mathematics at Pelotas State University in Brazil. The author of more than 100 referred articles and five books, his research interests include numerical analysis, computational fluid dynamics, numerical weather prediction, and real analysis. Dr. Andrei Bourchtein received his PhD in Mathematics and Physics from the Hydrometeorological Center of Russia. LUDMILA BOURCHTEIN, PhD, is Senior Research Scientist at the Institute of Physics and Mathematics at Pelotas State University in Brazil. The author of more than 80 referred articles and three books, her research interests include real and complex analysis, conformal mappings, and numerical analysis. Dr. Ludmila Bourchtein received her PhD in Mathematics from Saint Petersburg State University in Russia.

AFOSR.

AFOSR. PDF Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1136

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Variational Analysis

Variational Analysis PDF Author: R. Tyrrell Rockafellar
Publisher: Springer Science & Business Media
ISBN: 3540627723
Category : Mathematics
Languages : en
Pages : 747

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Book Description
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed exposition of variational geometry and subdifferential calculus in their current forms beyond classical and convex analysis. Also covered are set-convergence, set-valued mappings, epi-convergence, duality, and normal integrands.

Convergence in Norm

Convergence in Norm PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Mathematical analysis
Languages : en
Pages : 14

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Compactness of Certain Mappings

Compactness of Certain Mappings PDF Author: Gordon Thomas Whyburn
Publisher:
ISBN:
Category : Conformal mapping
Languages : en
Pages : 30

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