Swartz Charles W's Books

Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis

By: Charles W Swartz

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Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis

By: Charles W Swartz

These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski. Using the matrix theorem and classical gliding hump techniques, a number of applications to various topics in functional analysis, measure theory and sequence spaces are given. There are a number of generalizations of the classical Uniform Boundedness Principle given; in particular, using stronger notions of sequential convergence and boundedness due to Antosik and Mikusinski, versions of the Uniform Boundedness Principle and the Banach-Steinhaus Theorem are given which, in contrast to the usual versions, require no completeness or barrelledness assumptions on the domain space. Versions of Nikodym Boundedness and Convergence Theorems of measure theory, the Orlicz-Pettis Theorem on subseries convergence, generalizations of the Schur Lemma on the equivalence of weak and norm convergence in l1 and the Mazur-Orlicz Theorem on the continuity of separately continuous bilinear mappings are also given. Finally, the matrix theorems are also employed to treat a number of topics in sequence spaces.

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Page Count

222

Publisher

World Scientific

Published Date

ISBN 10

9814498718

ISBN 13

9789814498715

Functional Calculi

By: Charles W Swartz,Carlos Bosch

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Functional Calculi

By: Charles W Swartz,Carlos Bosch

A functional calculus is a construction which associates with an operator or a family of operators a homomorphism from a function space into a subspace of continuous linear operators, i.e. a method for defining “functions of an operator”. Perhaps the most familiar example is based on the spectral theorem for bounded self-adjoint operators on a complex Hilbert space.This book contains an exposition of several such functional calculi. In particular, there is an exposition based on the spectral theorem for bounded, self-adjoint operators, an extension to the case of several commuting self-adjoint operators and an extension to normal operators. The Riesz operational calculus based on the Cauchy integral theorem from complex analysis is also described. Finally, an exposition of a functional calculus due to H. Weyl is given.

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Page Count

226

Publisher

World Scientific

Published Date

ISBN 10

9814415995

ISBN 13

9789814415996

Measure, Integration And Function Spaces

By: Charles W Swartz

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Measure, Integration And Function Spaces

By: Charles W Swartz

This text contains a basic introduction to the abstract measure theory and the Lebesgue integral. Most of the standard topics in the measure and integration theory are discussed. In addition, topics on the Hewitt-Yosida decomposition, the Nikodym and Vitali-Hahn-Saks theorems and material on finitely additive set functions not contained in standard texts are explored. There is an introductory section on functional analysis, including the three basic principles, which is used to discuss many of the classic Banach spaces of functions and their duals. There is also a chapter on Hilbert space and the Fourier transform.

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Page Count

294

Publisher

World Scientific

Published Date

ISBN 10

9814502510

ISBN 13

9789814502511

Theories of Integration

The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane

By: Douglas S. Kurtz,Jaroslav Kurzweil,Charles W. Swartz

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Theories of Integration

The Integrals of Riemann, Lebesgue, Henstock-Kurzweil, and Mcshane

By: Douglas S. Kurtz,Jaroslav Kurzweil,Charles W. Swartz

This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.

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Page Count

286

Publisher

World Scientific

Published Date

ISBN 10

9812388435

ISBN 13

9789812388438

Abstract Duality Pairs In Analysis

By: Charles W Swartz

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Abstract Duality Pairs In Analysis

By: Charles W Swartz

The book presents a theory of abstract duality pairs which arises by replacing the scalar field by an Abelian topological group in the theory of dual pair of vector spaces. Examples of abstract duality pairs are vector valued series, spaces of vector valued measures, spaces of vector valued integrable functions, spaces of linear operators and vector valued sequence spaces. These examples give rise to numerous applications such as abstract versions of the Orlicz-Pettis Theorem on subseries convergent series, the Uniform Boundedness Principle, the Banach-Steinhaus Theorem, the Nikodym Convergence theorems and the Vitali-Hahn-Saks Theorem from measure theory and the Hahn-Schur Theorem from summability. There are no books on the current market which cover the material in this book. Readers will find interesting functional analysis and the many applications to various topics in real analysis.

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Page Count

302

Publisher

World Scientific

Published Date

ISBN 10

9813232781

ISBN 13

9789813232785

Elementary Functional Analysis

By: Charles W Swartz

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Elementary Functional Analysis

By: Charles W Swartz

This text is an introduction to functional analysis which requires readers to have a minimal background in linear algebra and real analysis at the first-year graduate level. Prerequisite knowledge of general topology or Lebesgue integration is not required. The book explains the principles and applications of functional analysis and explores the development of the basic properties of normed linear, inner product spaces and continuous linear operators defined in these spaces. Though Lebesgue integral is not discussed, the book offers an in-depth knowledge on the numerous applications of the abstract results of functional analysis in differential and integral equations, Banach limits, harmonic analysis, summability and numerical integration. Also covered in the book are versions of the spectral theorem for compact, symmetric operators and continuous, self adjoint operators.

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Page Count

192

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813107529

ISBN 13

9789813107526

Warehouse Safety

A Practical Guide to Preventing Warehouse Incidents and Injuries

By: George Swartz

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Warehouse Safety

A Practical Guide to Preventing Warehouse Incidents and Injuries

By: George Swartz

Because warehouses typically contain no dangerous machines or high-risk operations, employers and employees often develop a false sense of safety and security. With this book, you will learn how to proactively develop formal safety programs and reduce the number of safety incidents and losses that occur in your warehouse environment. Warehouse Safety discusses such topics as the nature of warehouse operations and safety statistics and examines the components of an effective safety program, including meetings, job safety observation, and safety incentives. It focuses on the high hazard work areas and situation present in warehouses and the equipment and training that managers should invest in to prevent injury and loss. Author George Swartz addresses a number of preventative measures, including fixed fire systems and fire safety, materials storage, handrailing and ladders, employee training, forklifts, methods for lockout/tagout procedures, dock hazards and safeguards, and more.

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Page Count

380

Publisher

Government Institutes

Published Date

ISBN 10

1591919703

ISBN 13

9781591919704

Passing Through the Fire

Joshua Lawrence Chamberlain in the Civil War

By: Brian F. Swartz

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Passing Through the Fire

Joshua Lawrence Chamberlain in the Civil War

By: Brian F. Swartz

This Civil War biography “draw[s] upon fresh material . . . to offer some important new insights. . . . An outstanding addition.” (NYMAS Book Review) As the brigade he commanded attacked a Confederate battery on a hill outside Petersburg in July 1864, a bursting shell blew Col. Joshua L. Chamberlain from the saddle and wounded his horse. After the enemy battery skedaddled, the brigade took the hill and dug in, and up came supporting Union guns. Chamberlain figured the day’s fighting ended. Then an unidentified senior officer ordered his brigade to charge and capture the heavily defended main Confederate line. Chamberlain protested the order, then complied, taking his men forward—until a bullet slammed through his groin and left him mortally wounded. Miraculously surviving a battlefield surgery, he returned home to convalesce. Struggling with pain and multiple surgeries, Chamberlain debated leaving the army or returning to the fight. His decision affected upcoming battles, his family, and the rest of his life. Passing Through the Fire: Joshua Lawrence Chamberlain in the Civil War chronicles Chamberlain’s swift transition from college professor and family man to regimental and brigade commander. Drawing on Chamberlain’s extensive memoirs and writings and multiple period sources, historian Brian F. Swartz follows Chamberlain across Maryland, Pennsylvania, and Virginia while examining the determined warrior who let nothing prevent him from helping save the United States. “Swartz writes eloquently and well. This book is suitable for students and for those readers with little prior background in the Civil War as well as for readers with a strong interest in the subject.” —Midwest Book Review

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Page Count

193

Publisher

Savas Beatie

Published Date

ISBN 10

1611215625

ISBN 13

9781611215625

L-Z

By: G. Aimée Ergas,Judy Galens,Mark Swartz

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L-Z

By: G. Aimée Ergas,Judy Galens,Mark Swartz

From the Publisher: Concentrating on North American and European artists from the Renaissance to the present, Artists covers the life stories of 62 sculptors, painters, architects, photographers, illustrators and designers. It also provides a view of the artists' worlds and impact of their art on society and future generations of artists.

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Page Count

310

Published Date

ISBN 10

0810398648

ISBN 13

9780810398641

Choosing Children's Books

By: David Booth,Larry Swartz,Meguido Zola

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Choosing Children's Books

By: David Booth,Larry Swartz,Meguido Zola

Annotated list of superior children's books in preschool, primary, middle years, and young adolescent age groups.

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Page Count

180

Publisher

Markham, Ont. : Pembroke Publishers

Published Date

ISBN 10

0921217129

ISBN 13

9780921217121

Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane (2nd Edition)

By: Charles W Swartz,Douglas S Kurtz

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Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane (2nd Edition)

By: Charles W Swartz,Douglas S Kurtz

The book uses classical problems to motivate a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil and McShane, showing how new theories of integration were developed to solve problems that earlier integration theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and could be used separately in teaching a portion of an introductory real analysis course. There is a sufficient supply of exercises to make this book useful as a textbook.

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Page Count

311

Publisher

World Scientific Publishing Company

Published Date

ISBN 10

9813108266

ISBN 13

9789813108264

Facing West

American Evangelicals in an Age of World Christianity

By: David R. Swartz

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Facing West

American Evangelicals in an Age of World Christianity

By: David R. Swartz

In 1974 nearly 3,000 evangelicals from 150 nations met at the Lausanne Congress on World Evangelization. Amidst this cosmopolitan setting and in front of the most important white evangelical leaders of the United States members of the Latin American Theological Fraternity spoke out against the American Church. Fiery speeches by Ecuadorian René Padilla and Peruvian Samuel Escobar revealed a global weariness with what they described as an American style of coldly efficient mission wedded to a myopic, right-leaning politics. Their bold critiques electrified Christians from around the world. The dramatic growth of Christianity around the world in the last century has shifted the balance of power within the faith away from traditional strongholds in Europe and the United States. To be sure, evangelical populists who voted for Donald Trump have resisted certain global pressures, and Western missionaries have carried Christian Americanism abroad. But the line of influence has also run the other way. David R. Swartz demonstrates that evangelicals in the Global South spoke back to American evangelicals on matters of race, imperialism, theology, sexuality, and social justice. From the left, they pushed for racial egalitarianism, ecumenism, and more substantial development efforts. From the right, they advocated for a conservative sexual ethic grounded in postcolonial logic. As Christian immigration to the United States burgeoned in the wake of the Immigration Act of 1965, global evangelicals forced many American Christians to think more critically about their own assumptions. The United States is just one node of a sprawling global network that includes Korea, India, Switzerland, the Philippines, Guatemala, Uganda, and Thailand. Telling stories of resistance, accommodation, and cooperation, Swartz shows that evangelical networks not only go out to, but also come from, the ends of the earth.

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Page Count

337

Publisher

Oxford University Press

Published Date

ISBN 10

019025081X

ISBN 13

9780190250812

Introduction To Gauge Integrals

By: Charles W Swartz

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Introduction To Gauge Integrals

By: Charles W Swartz

This book presents the Henstock/Kurzweil integral and the McShane integral. These two integrals are obtained by changing slightly the definition of the Riemann integral. These variations lead to integrals which are much more powerful than the Riemann integral. The Henstock/Kurzweil integral is an unconditional integral for which the fundamental theorem of calculus holds in full generality, while the McShane integral is equivalent to the Lebesgue integral in Euclidean spaces.A basic knowledge of introductory real analysis is required of the reader, who should be familiar with the fundamental properties of the real numbers, convergence, series, differentiation, continuity, etc.

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Page Count

169

Publisher

World Scientific

Published Date

ISBN 10

9814493511

ISBN 13

9789814493512

Legendary Locals of Bangor

By: Richard R. Shaw and Brian F. Swartz

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Legendary Locals of Bangor

By: Richard R. Shaw and Brian F. Swartz

Since its settlement in 1769, Bangor's greatest resource has been its people. Long before 1834, when the town on the Penobscot became a city, future legends were born who transformed it into a world-class community. Hannibal Hamlin served as Abraham Lincoln's first vice president. Timber tycoon Sam Hersey financed urban development while less affluent folk such as Molly Molasses also made their mark. When philanthropists Stephen and Tabitha King are not writing best-selling novels, they are spreading their wealth throughout the community. Bangor's melting pot includes the Italian Baldacci family and the Jewish baker Reuben Cohen, who, with his wife Clara, raised their son Bill, a US senator and defense secretary. More infamous but equally legendary is brothel keeper Fanny Jones. Paul Bunyan earned a statue on Main Street. Airport troop greeters Kay Lebowitz and Bill Knight round out the list of notables. They are all jewels in Bangor's crown, and each in their own way is a bona fide legend.

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Page Count

128

Publisher

Arcadia Publishing

Published Date

ISBN 10

1467100730

ISBN 13

9781467100731

Multiplier Convergent Series

By: Charles W Swartz

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Multiplier Convergent Series

By: Charles W Swartz

If λ is a space of scalar-valued sequences, then a series ∑j xj in a topological vector space X is λ-multiplier convergent if the series ∑j=1∞ tjxj converges in X for every {tj} ελ. This monograph studies properties of such series and gives applications to topics in locally convex spaces and vector-valued measures. A number of versions of the Orlicz-Pettis theorem are derived for multiplier convergent series with respect to various locally convex topologies. Variants of the classical Hahn-Schur theorem on the equivalence of weak and norm convergent series in ι1 are also developed for multiplier convergent series. Finally, the notion of multiplier convergent series is extended to operator-valued series and vector-valued multipliers.

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Page Count

264

Publisher

World Scientific

Published Date

ISBN 10

9814470139

ISBN 13

9789814470131

Book's by Swartz Charles W

Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis

Infinite Matrices And The Gliding Hump, Matrix Methods In Analysis

Functional Calculi

Functional Calculi

Measure, Integration And Function Spaces

Measure, Integration And Function Spaces

Theories of Integration

Theories of Integration

Abstract Duality Pairs In Analysis

Abstract Duality Pairs In Analysis

Elementary Functional Analysis

Elementary Functional Analysis

Warehouse Safety

Warehouse Safety

Passing Through the Fire

Passing Through the Fire

L-Z

L-Z

Choosing Children's Books

Choosing Children's Books

Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane (2nd Edition)

Theories Of Integration: The Integrals Of Riemann, Lebesgue, Henstock-kurzweil, And Mcshane (2nd Edition)

Facing West

Facing West

Introduction To Gauge Integrals

Introduction To Gauge Integrals

Legendary Locals of Bangor

Legendary Locals of Bangor

Multiplier Convergent Series

Multiplier Convergent Series

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