Donald Ary's Books

Three Views of Logic

Mathematics, Philosophy, and Computer Science

By: Donald W. Loveland,Richard Hodel,S. G. Sterrett

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Three Views of Logic

Mathematics, Philosophy, and Computer Science

By: Donald W. Loveland,Richard Hodel,S. G. Sterrett

The first interdisciplinary textbook to introduce students to three critical areas in applied logic Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

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338

Publisher

Princeton University Press

Published Date

ISBN 10

0691160449

ISBN 13

9780691160443

Grothendieck Construction of Bipermutative-Indexed Categories

By: Donald Yau

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Grothendieck Construction of Bipermutative-Indexed Categories

By: Donald Yau

This monograph is the first and only book-length reference for this material. Contents of Chapter 2, Chapter 3, Part 2, and Part 3 is new, not having appeared in any of the research literature. The book will appeal to mathematicians interested in topology. Book shelved as a reference title.

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361

Publisher

CRC Press

Published Date

ISBN 10

1003807461

ISBN 13

9781003807469

The Art of Computer Programming

By: Donald Ervin Knuth

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The Art of Computer Programming

By: Donald Ervin Knuth

Donald Knuth is Professor Emeritus of the Art of Computer Programming at Stanford University, and is well-known worldwide as the creator of the Tex typesetting language. Here he presents the third volume of his guide to computer programming.

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804

Publisher

Pearson Education

Published Date

ISBN 10

0201896850

ISBN 13

9780201896855

Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory

Volume III: From Categories to Structured Ring Spectra

By: Niles Johnson,Donald Yau

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Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory

Volume III: From Categories to Structured Ring Spectra

By: Niles Johnson,Donald Yau

Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic $K$-theory since around 1970. There is an abundance of new applications and questions of bimonoidal categories in mathematics and other sciences. The three books published by the AMS in the Mathematical Surveys and Monographs series under the title Bimonoidal Categories, $E_n$-Monoidal Categories, and Algebraic $K$-Theory (Volume I: Symmetric Bimonoidal Categories and Monoidal Bicategories, Volume II: Braided Bimonoidal Categories with Applications, and Volume III: From Categories to Structured Ring Spectra?this book) provide a unified treatment of bimonoidal and higher ring-like categories, their connection with algebraic $K$-theory and homotopy theory, and applications to quantum groups and topological quantum computation. With ample background material, extensive coverage, detailed presentation of both well-known and new theorems, and a list of open questions, this work is a user-friendly resource for beginners and experts alike. Part 1 of this book is a detailed study of enriched monoidal categories, pointed diagram categories, and enriched multicategories. Using this machinery, Part 2 discusses the rich interconnection between the higher ring-like categories, homotopy theory, and algebraic $K$-theory. Starting with a chapter on homotopy theory background, the first half of Part 2 constructs the Segal $K$-theory functor and the Elmendorf-Mandell $K$-theory multifunctor from permutative categories to symmetric spectra. For the latter, the detailed treatment here includes identification and correction of some subtle errors concerning its extended domain. The second half applies the $K$-theory multifunctor to small ring, bipermutative, braided ring, and $E_n$-monoidal categories to obtain, respectively, strict ring, $E_{infty}$-, $E_2$-, and $E_n$-symmetric spectra.

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633

Publisher

American Mathematical Society

Published Date

ISBN 10

1470478110

ISBN 13

9781470478117

The Art of Computer Programming

Seminumerical Algorithms, Volume 2

By: Donald E. Knuth

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The Art of Computer Programming

Seminumerical Algorithms, Volume 2

By: Donald E. Knuth

The bible of all fundamental algorithms and the work that taught many of today's software developers most of what they know about computer programming. –Byte, September 1995 I can't begin to tell you how many pleasurable hours of study and recreation they have afforded me! I have pored over them in cars, restaurants, at work, at home... and even at a Little League game when my son wasn't in the line-up. –Charles Long If you think you're a really good programmer... read [Knuth's] Art of Computer Programming... You should definitely send me a resume if you can read the whole thing. –Bill Gates It's always a pleasure when a problem is hard enough that you have to get the Knuths off the shelf. I find that merely opening one has a very useful terrorizing effect on computers. –Jonathan Laventhol The second volume offers a complete introduction to the field of seminumerical algorithms, with separate chapters on random numbers and arithmetic. The book summarizes the major paradigms and basic theory of such algorithms, thereby providing a comprehensive interface between computer programming and numerical analysis. Particularly noteworthy in this third edition is Knuth's new treatment of random number generators, and his discussion of calculations with formal power series. Ebook (PDF version) produced by Mathematical Sciences Publishers (MSP),http://msp.org

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1092

Publisher

Addison-Wesley Professional

Published Date

ISBN 10

0321635760

ISBN 13

9780321635761

Art of Computer Programming, Volume 4, Fascicle 4,The

Generating All Trees--History of Combinatorial Generation

By: Donald E. Knuth

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Art of Computer Programming, Volume 4, Fascicle 4,The

Generating All Trees--History of Combinatorial Generation

By: Donald E. Knuth

Finally, after a wait of more than thirty-five years, the first part of Volume 4 is at last ready for publication. Check out the boxed set that brings together Volumes 1 - 4A in one elegant case, and offers the purchaser a $50 discount off the price of buying the four volumes individually. The Art of Computer Programming, Volumes 1-4A Boxed Set, 3/e ISBN: 0321751043 Art of Computer Programming, Volume 4, Fascicle 4,The: Generating All Trees--History of Combinatorial Generation: Generating All Trees--History of Combinatorial Generation This multivolume work on the analysis of algorithms has long been recognized as the definitive description of classical computer science.The three complete volumes published to date already comprise a unique and invaluable resource in programming theory and practice. Countless readers have spoken about the profound personal influence of Knuth's writings. Scientists have marveled at the beauty and elegance of his analysis, while practicing programmers have successfully applied his “cookbook” solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books. To begin the fourth and later volumes of the set, and to update parts of the existing three, Knuth has created a series of small books called fascicles, which will be published at regular intervals. Each fascicle will encompass a section or more of wholly new or revised material. Ultimately, the content of these fascicles will be rolled up into the comprehensive, final versions of each volume, and the enormous undertaking that began in 1962 will be complete. Volume 4, Fascicle 4 This latest fascicle covers the generation of all trees, a basic topic that has surprisingly rich ties to the first three volumes of The Art of Computer Programming. In thoroughly discussing this well-known subject, while providing 124 new exercises, Knuth continues to build a firm foundation for programming. To that same end, this fascicle also covers the history of combinatorial generation. Spanning many centuries, across many parts of the world, Knuth tells a fascinating story of interest and relevance to every artful programmer, much of it never before told. The story even includes a touch of suspense: two problems that no one has yet been able to solve.

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130

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Addison-Wesley Professional

Published Date

ISBN 10

0132702347

ISBN 13

9780132702348

The Matrix Of Language

Contemporary Linguistic Anthropology

By: Donald Brenneis

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The Matrix Of Language

Contemporary Linguistic Anthropology

By: Donald Brenneis

This book presents a range of methodological approaches and case studies that illustrate the interconnection of language, culture, and social practice. It is useful for anyone exploring the relation of language to psychology, political theory, feminist studies, and literature and folklore.

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349

Publisher

Routledge

Published Date

ISBN 10

0429964838

ISBN 13

9780429964831

Monomode Fiber-Optic Design

With Local-Area and Long-Haul Network Applications

By: Donald G. Baker

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Monomode Fiber-Optic Design

With Local-Area and Long-Haul Network Applications

By: Donald G. Baker

Fiber optics is a transmission technique that uses electrical signals to modulate a light source and thereby produce an optical signal proportional to the electrical signal. These optical signals contain information that is transmitted via a glass waveguide to a light-sensitive receiver. Fiber optics has a distinct advantage over copper networks for some applications. The objective of this book is to explore monomode, as opposed to multimode, applications of fiber optics to local area networks (LANs), which have become a rather important aspect of this technology because of the ever-increasing growth of LANs. Monomode fiber optics requires the use of coherent light sources such as laser diodes, YAGs, and HeNe lasers, to name just a few. It has some distinct advantages over multimode that this text will investigate in a cursory manner. (The author's previous book on multimode fiber optics, Fiber Optic Design and Applications, published by Reston, would be helpful but not necessary to aug ment this text.) Monomode (or single-mode) fiber optics is the present direction of the state of-the-art because of its superior performance. Since a few problems existed that limited the growth of monomode technology at the time this book was being written, several sections of the text will be devoted to examining the shortcom ings as well as the performance advantages of this technology.

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501

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401170002

ISBN 13

9789401170000

Mo

The Life and Times of Morris K. Udall

By: Donald W. Carson,James W. Johnson

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Mo

The Life and Times of Morris K. Udall

By: Donald W. Carson,James W. Johnson

Everybody liked Mo. Throughout his political life— and especially during his bid for the Democratic presidential nomination in 1976— thousands of people were drawn to Arizona congressman Morris K. Udall by his humor, humanity, and courage. This biography traces the remarkable career of the candidate who was "too funny to be president" and introduces readers to Mo the politician, Mo the environmentalist, and Mo the man. Journalists Donald Carson and James Johnson interviewed more than one hundred of Udall's associates and family members to create an unusually rich portrait. They recall Udall's Mormon boyhood in Arizona when he lost an eye at age six, his service during World War II, his brief career in professional basketball, and his work as a lawyer and county prosecutor, which earned him a reputation for fairness and openness. Mo provides the most complete record of Udall's thirty-year congressional career ever published. It reveals how he challenged the House seniority system and turned the House Interior Committee into a powerful panel that did as much to protect the environment as any organization in the twentieth century. It shows Udall to have been a consensus builder for environmental issues who paved the way for the Alaska Lands Act of 1980, helped set aside 2.4 million acres of wilderness in Arizona, and fought for the Central Arizona Project, one of the most ambitious water projects in U.S. history. Carson and Johnson record Udall's early opposition to the Vietnam War at a time when that conflict was largely perceived as a just cause, as well as his early advocacy of campaign finance reform. They also provide a behind-the-scenes account of his run for the presidency—the first House member to seek the office in nearly a century—which gained him an intensely loyal national following. Mo explores the paradoxes that beset Udall: He was a man able to accomplish things politically because people genuinely liked and respected him, yet he was a loner and workaholic whose focus on politics overshadowed his personal life. Carson and Johnson devote a chapter to the famous Udall sense of humor. They also look sensitively at his role as a husband and father and at his proud and stubborn bout with Parkinson's disease. Mo Udall will long be remembered for his contributions to environmental legislation, for his unflagging efforts in behalf of Arizona, and for the gentle humor with which he conducted his life. This book secures his legacy.

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361

Publisher

University of Arizona Press

Published Date

ISBN 10

0816532966

ISBN 13

9780816532964

A Foundation for PROPs, Algebras, and Modules

By: Donald Yau, Mark W. Johnson

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A Foundation for PROPs, Algebras, and Modules

By: Donald Yau, Mark W. Johnson

PROPs and their variants are extremely general and powerful machines that encode operations with multiple inputs and multiple outputs. In this respect PROPs can be viewed as generalizations of operads that would allow only a single output. Variants of PROPs are important in several mathematical fields, including string topology, topological conformal field theory, homotopical algebra, deformation theory, Poisson geometry, and graph cohomology. The purpose of this monograph is to develop, in full technical detail, a unifying object called a generalized PROP. Then with an appropriate choice of pasting scheme, one recovers (colored versions of) dioperads, half-PROPs, (wheeled) operads, (wheeled) properads, and (wheeled) PROPs. Here the fundamental operation of graph substitution is studied in complete detail for the first time, including all exceptional edges and loops as examples of a new definition of wheeled graphs. A notion of generators and relations is proposed which allows one to build all of the graphs in a given pasting scheme from a small set of basic graphs using graph substitution. This provides information at the level of generalized PROPs, but also at the levels of algebras and of modules over them. Working in the general context of a symmetric monoidal category, the theory applies for both topological spaces and chain complexes in characteristic zero. This book is useful for all mathematicians and mathematical physicists who want to learn this new powerful technique.

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346

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470421976

ISBN 13

9781470421977

English Words from Latin and Greek Elements

By: Donald M. Ayers

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English Words from Latin and Greek Elements

By: Donald M. Ayers

Since 1965, Donald Ayers' English Words from Latin and Greek Elements has helped thousands of students to a broader vocabulary by showing them how to recognize classical roots in modern English words. Its second edition, published in 1986, has confirmed that vocabulary is best taught by root, not rote. The importance of learning classical word roots is already acknowledged by vocabulary texts that devote chapters to them. Why a whole book based on this approach? Ayers' text exposes students to a wider range of roots, introduces new English words in context sentences, and reinforces vocabulary through exercises. It promotes more practice with roots so that students learn to use them as tools in their everyday encounters with new words. English Words is written from the standpoint of English; it neither attempts to teach students Latin or Greek nor expects a knowledge of classical languages on the part of instructors. Its success has been demonstrated at both the secondary and college levels, and it can be used effectively with students in remedial or accelerated programs. An Instructor's Manual (gratis with adoption) and a Workbook are also available.

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313

Publisher

University of Arizona Press

Published Date

ISBN 10

0816547130

ISBN 13

9780816547135

Bioscientific Terminology

Words from Latin and Greek Stems

By: Donald M. Ayers

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Bioscientific Terminology

Words from Latin and Greek Stems

By: Donald M. Ayers

A Valuable Classroom Tool: Separate sections on Latin and Greek derivations. Each section has 20 lessons—with assignments following each lesson—giving the user a vast technical vocabulary and increased word-recognition ability. A Definitive Reference: Hundreds of Greek and Latin stems, prefixes, and suffixes show the precise application of the classical languages to biological and medical usage. Topic-organized bibliography, index of bases.

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337

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University of Arizona Press

Published Date

ISBN 10

0816543178

ISBN 13

9780816543175

Boy General of the 11th Alabama

John C.C. Sanders and Company C in the Civil War

By: Donald W. Abel, Jr.

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Boy General of the 11th Alabama

John C.C. Sanders and Company C in the Civil War

By: Donald W. Abel, Jr.

In the spring of 1861, John Caldwell Calhoun Sanders, a 21-year-old cadet at the University of Alabama, helped organize a company of the 11th Alabama Volunteer Infantry. Hailing primarily from Greene County, the 109 men of Company C, "The Confederate Guards," signed on for the duration of the war and made Sanders their first captain. They would fight in every major battle in the Eastern Theater, under Robert E. Lee. Leading from the front, Sanders was wounded four times during the war yet rose rapidly through the ranks, becoming one of the South's "boy generals" at 24. By Appomattox, Sanders was dead and the remaining 20 men of Company C surrendered with what was left of the once formidable Army of Northern Virginia. This is their story.

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352

Publisher

McFarland

Published Date

ISBN 10

1476651108

ISBN 13

9781476651101

Ever a Vision

A Brief History of Pittsburgh Theological Seminary, 1959-2009

By: Donald K. McKim

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Ever a Vision

A Brief History of Pittsburgh Theological Seminary, 1959-2009

By: Donald K. McKim

Ever a Vision narrates the fifty-year history of Pittsburgh Theological Seminary. Donald McKim expertly tells the seminary s story, from its first days after the consolidation of its two predecessors Western Theological Seminary of the Presbyterian Church in the United States of America and Pittsburgh-Xenia Theological Seminary of the United Presbyterian Church in North America through today. / McKim describes the tensions encountered in bringing together these two different faculties from denominations which, though both Presbyterian, represented different theological emphases. He recounts the seminary s growth, its struggles, its various curricula and presidents, and examines the concerns and activities of its students through these five decades. Finally, he chronicles the latest chapter of the seminary s development in which its financial condition has been strengthened, its curriculum stabilized, and its vision for the future sharpened.

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270

Publisher

Wm. B. Eerdmans Publishing

Published Date

ISBN 10

0802844170

ISBN 13

9780802844170

Educational and Developmental Aspects of Deafness

By: Donald F. Moores

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Educational and Developmental Aspects of Deafness

By: Donald F. Moores

Educational and Developmental Aspects of Deafness details the ongoing revolution in the education of deaf children. More than 20 researchers contributed their discoveries in anthropology, education, linguistics, psychology, sociology, and other major disciplines, with special concentration upon the education of deaf children. Divided into two parts on education at home and in school, this incisive book documents breakthroughs such as the public's interest in sign language, the increasing availability of interpreters, the growing perception of deafness as a social condition, not a pathology, and other positive trends. It is unique as the first purely research-based text and reference point for further study of the education of deaf children.

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Page Count

472

Publisher

Gallaudet University Press

Published Date

ISBN 10

0930323521

ISBN 13

9780930323523

Maynard Keynes

An Economist's Biography

By: Donald Moggridge

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Maynard Keynes

An Economist's Biography

By: Donald Moggridge

Based on an intimate knowledge of the subject and his environment, this biography of the most influential economist of the twentieth century traces Keynes' career on all its many levels. From academic Cambridge, to artistic Bloomsbury, to official Whitehall and to the City, we see the intellectual roots of Keynes' achievements and failures. We also see how he left his mark on the modern world.

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Page Count

991

Publisher

Routledge

Published Date

ISBN 10

1134798679

ISBN 13

9781134798674

Latin Squares

New Developments in the Theory and Applications

By: József Dénes,A. Donald Keedwell

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Latin Squares

New Developments in the Theory and Applications

By: József Dénes,A. Donald Keedwell

In 1974 the editors of the present volume published a well-received book entitled ``Latin Squares and their Applications''. It included a list of 73 unsolved problems of which about 20 have been completely solved in the intervening period and about 10 more have been partially solved. The present work comprises six contributed chapters and also six further chapters written by the editors themselves. As well as discussing the advances which have been made in the subject matter of most of the chapters of the earlier book, this new book contains one chapter which deals with a subject (r-orthogonal latin squares) which did not exist when the earlier book was written.The success of the former book is shown by the two or three hundred published papers which deal with questions raised by it.

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Page Count

469

Publisher

Elsevier

Published Date

ISBN 10

0080867863

ISBN 13

9780080867861

Editors Make War

Southern Newspapers in the Secession Crisis

By: Donald E. Reynolds

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Editors Make War

Southern Newspapers in the Secession Crisis

By: Donald E. Reynolds

Using editorials published in 196 newspapers before the outbreak of the Civil War, Donald E. Reynolds shows the evolution of the editors' viewpoints and explains how editors helped influence the traditionally conservative and nationalistic South to revolt and secede.

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Page Count

324

Publisher

SIU Press

Published Date

ISBN 10

0809327341

ISBN 13

9780809327348

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