George M. Bergman's Books

An Invitation to General Algebra and Universal Constructions

By: George M. Bergman

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An Invitation to General Algebra and Universal Constructions

By: George M. Bergman

Rich in examples and intuitive discussions, this book presents General Algebra using the unifying viewpoint of categories and functors. Starting with a survey, in non-category-theoretic terms, of many familiar and not-so-familiar constructions in algebra (plus two from topology for perspective), the reader is guided to an understanding and appreciation of the general concepts and tools unifying these constructions. Topics include: set theory, lattices, category theory, the formulation of universal constructions in category-theoretic terms, varieties of algebras, and adjunctions. A large number of exercises, from the routine to the challenging, interspersed through the text, develop the reader's grasp of the material, exhibit applications of the general theory to diverse areas of algebra, and in some cases point to outstanding open questions. Graduate students and researchers wishing to gain fluency in important mathematical constructions will welcome this carefully motivated book.

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Page Count

574

Publisher

Springer

Published Date

ISBN 10

3319114786

ISBN 13

9783319114781

Cogroups and Co-rings in Categories of Associative Rings

By: George M. Bergman,Adam O. Hausknecht

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Cogroups and Co-rings in Categories of Associative Rings

By: George M. Bergman,Adam O. Hausknecht

This book studies representable functors among well-known varieties of algebras. All such functors from associative rings over a fixed ring R to each of the categories of abelian groups, associative rings, Lie rings, and to several others are determined. Results are also obtained on representable functors on varieties of groups, semigroups, commutative rings, and Lie algebras. The book includes a "Symbol index", which serves as a glossary of symbols used and a list of the pages where the topics so symbolized are treated, and a "Word and phrase index". The authors have strived -- and succeeded -- in creating a volume that is very user-friendly.

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Page Count

400

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821804952

ISBN 13

9780821804957

The Study of Anosognosia

By: George P. Prigatano

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The Study of Anosognosia

By: George P. Prigatano

The study of anosognosia has witnessed an unprecedented increase in interest over the last 20 years. This has resulted in numerous empirical investigations as well as theoretical writings on the nature of human consciousness and how disorders of the brain may influence the person's subjective awareness of a disturbed neurological or neuropsychological function. This edited text summarizes many of the advances that have taken place in the field of anosognosia. It reviews research findings on anosognosia for hemiplegia following stroke, Anton's syndrome, and a variety of disorders in which impaired self-awareness is common. It also provides suggestive guidelines for the management and rehabilitation of persons who have anosognosia or impaired self-awareness.

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Page Count

556

Publisher

Oxford University Press

Published Date

ISBN 10

0199702446

ISBN 13

9780199702442

Algebras, Lattices, Varieties

Volume I

By: Ralph N. McKenzie,George F. McNulty,Walter F. Taylor

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Algebras, Lattices, Varieties

Volume I

By: Ralph N. McKenzie,George F. McNulty,Walter F. Taylor

This book presents the foundations of a general theory of algebras. Often called “universal algebra”, this theory provides a common framework for all algebraic systems, including groups, rings, modules, fields, and lattices. Each chapter is replete with useful illustrations and exercises that solidify the reader's understanding. The book begins by developing the main concepts and working tools of algebras and lattices, and continues with examples of classical algebraic systems like groups, semigroups, monoids, and categories. The essence of the book lies in Chapter 4, which provides not only basic concepts and results of general algebra, but also the perspectives and intuitions shared by practitioners of the field. The book finishes with a study of possible uniqueness of factorizations of an algebra into a direct product of directly indecomposable algebras. There is enough material in this text for a two semester course sequence, but a one semester course could also focus primarily on Chapter 4, with additional topics selected from throughout the text.

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Page Count

386

Publisher

American Mathematical Society

Published Date

ISBN 10

1470442957

ISBN 13

9781470442958

Algebras, Lattices, Varieties

Volume III

By: Ralph S. Freese,Ralph N. McKenzie,George F. McNulty,Walter F. Taylor

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Algebras, Lattices, Varieties

Volume III

By: Ralph S. Freese,Ralph N. McKenzie,George F. McNulty,Walter F. Taylor

This book is the third of a three-volume set of books on the theory of algebras, a study that provides a consistent framework for understanding algebraic systems, including groups, rings, modules, semigroups and lattices. Volume I, first published in the 1980s, built the foundations of the theory and is considered to be a classic in this field. The long-awaited volumes II and III are now available. Taken together, the three volumes provide a comprehensive picture of the state of art in general algebra today, and serve as a valuable resource for anyone working in the general theory of algebraic systems or in related fields. The two new volumes are arranged around six themes first introduced in Volume I. Volume II covers the Classification of Varieties, Equational Logic, and Rudiments of Model Theory, and Volume III covers Finite Algebras and their Clones, Abstract Clone Theory, and the Commutator. These topics are presented in six chapters with independent expositions, but are linked by themes and motifs that run through all three volumes.

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Page Count

451

Publisher

American Mathematical Society

Published Date

ISBN 10

1470467984

ISBN 13

9781470467982

Reviews of Environmental Contamination and Toxicology

By: George W. Ware

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Reviews of Environmental Contamination and Toxicology

By: George W. Ware

International concern in scientific, industrial, and governmental communi ties over traces of xenobiotics in foods and in both abiotic and biotic en vironments has justified the present triumvirate of specialized publications in this field: comprehensive reviews, rapidly published research papers and progress reports, and archival documentations. These three international publications are integrated and scheduled to provide the coherency essential for nonduplicative and current progress in a field as dynamic and complex as environmental contamination and toxicology. This series is reserved ex clusively for the diversified literature on "toxic" chemicals in our food, our feeds, our homes, recreational and working surroundings, our domestic an imals, our wildlife and ourselves. Tremendous efforts worldwide have been mobilized to evaluate the nature, presence, magnitude, fate, and toxicology of the chemicals loosed upon the earth. Among the sequelae of this broad new emphasis is an undeniable need for an articulated set of authoritative publications, where one can find the latest irr,portant world literature pro duced by these emerging areas of science together with documentation of pertinent ancillary legislation. Research directors and legislative or administrative advisers do not have the time to scan the escalating number of technical publications that may contain articles impbrtant to current responsibility. Rather, these individuals need the background provided by detailed reviews and the assurance that the latest information is made available to them, all with minimal literature searching.

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Page Count

180

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1461226562

ISBN 13

9781461226567

Theory for Education

By: Greg Dimitriadis,George Kamberelis

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Theory for Education

By: Greg Dimitriadis,George Kamberelis

Provides a pithy introduction to key contemporary thinkers - their lives, major works, and ideas - as they pertain to teaching.

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Page Count

218

Publisher

Taylor & Francis

Published Date

ISBN 10

0415974194

ISBN 13

9780415974196

An Invitation to General Algebra and Universal Constructions

By: George M. Bergman

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An Invitation to General Algebra and Universal Constructions

By: George M. Bergman

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574

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Springer

Published Date

ISBN 10

3319114786

ISBN 13

9783319114781

Autonomic Nervous System in Old Age

By: George A. Kuchel

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Autonomic Nervous System in Old Age

By: George A. Kuchel

In recent years, all western industrialized countries, and to a growing extent even many developed and developing Asian nations, have witnessed a remarkable growth in numbers of older people [1]. Future projections anticipate continued increases, particularly in numbers of individuals who are 85 years and older [1]. Although US statistics have indicated recent declines in disability trends [2], overall numbers of older individuals living with disability and functional dependence are likely to increase given projected increases in life expectancy [3]. For example, average life expectancy for women born today in the United States is nearly 80; for men, it is nearly 75 [1]. With these considerations in mind, many investigators have begun to pay increasing attention to identifying factors which may predict the transition from health and independence to disability and dependence in older individuals, eventually providing useful targets for interventions [3, 4]

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Page Count

148

Publisher

Lulu.com

Published Date

ISBN 10

0359617212

ISBN 13

9780359617210

Reviews of Environmental Contamination and Toxicology 184

By: George Ware

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Reviews of Environmental Contamination and Toxicology 184

By: George Ware

Reviews of Environmental Contamination and Toxicology attempts to provide concise, critical reviews of timely advances, philosophy, and significant areas of accomplished or needed endeavor in the total field of xenobiotics, in any segment of the environment, as well as toxicological implications.

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Page Count

164

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387275657

ISBN 13

9780387275659

Book's by George M. Bergman

An Invitation to General Algebra and Universal Constructions

An Invitation to General Algebra and Universal Constructions

Cogroups and Co-rings in Categories of Associative Rings

Cogroups and Co-rings in Categories of Associative Rings

The Study of Anosognosia

The Study of Anosognosia

Algebras, Lattices, Varieties

Algebras, Lattices, Varieties

Algebras, Lattices, Varieties

Algebras, Lattices, Varieties

Reviews of Environmental Contamination and Toxicology

Reviews of Environmental Contamination and Toxicology

Theory for Education

Theory for Education

An Invitation to General Algebra and Universal Constructions

An Invitation to General Algebra and Universal Constructions

Autonomic Nervous System in Old Age

Autonomic Nervous System in Old Age

Reviews of Environmental Contamination and Toxicology 184

Reviews of Environmental Contamination and Toxicology 184

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