A. Cox's Books

Galois Theory

By: David A. Cox

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An introduction to one of the most celebrated theories of mathematics Galois theory is one of the jewels of mathematics. Its intrinsic beauty, dramatic history, and deep connections to other areas of mathematics give Galois theory an unequaled richness. David Cox’s Galois Theory helps readers understand not only the elegance of the ideas but also where they came from and how they relate to the overall sweep of mathematics. Galois Theory covers classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields. The book also delves into more novel topics, including Abel’s theory of Abelian equations, the problem of expressing real roots by real radicals (the casus irreducibilis), and the Galois theory of origami. Anyone fascinated by abstract algebra will find careful discussions of such topics as: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois’s results about irreducible polynomials of prime or prime-squared degree Abel’s theorem about geometric constructions on the lemniscate With intriguing Mathematical and Historical Notes that clarify the ideas and their history in detail, Galois Theory brings one of the most colorful and influential theories in algebra to life for professional algebraists and students alike.

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586

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John Wiley & Sons

Published Date

ISBN 10

1118031334

ISBN 13

9781118031339

Using Algebraic Geometry

By: David A. Cox,John Little,DONAL OSHEA

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Using Algebraic Geometry

By: David A. Cox,John Little,DONAL OSHEA

An illustration of the many uses of algebraic geometry, highlighting the more recent applications of Groebner bases and resultants. Along the way, the authors provide an introduction to some algebraic objects and techniques more advanced than typically encountered in a first course. The book is accessible to non-specialists and to readers with a diverse range of backgrounds, assuming readers know the material covered in standard undergraduate courses, including abstract algebra. But because the text is intended for beginning graduate students, it does not require graduate algebra, and in particular, does not assume that the reader is familiar with modules.

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513

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Springer Science & Business Media

Published Date

ISBN 10

1475769113

ISBN 13

9781475769111

Primes of the Form x2 + ny2

Fermat, Class Field Theory, and Complex Multiplication

By: David A. Cox

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Primes of the Form x2 + ny2

Fermat, Class Field Theory, and Complex Multiplication

By: David A. Cox

Modern number theory began with the work of Euler and Gauss to understand and extend the many unsolved questions left behind by Fermat. In the course of their investigations, they uncovered new phenomena in need of explanation, which over time led to the discovery of field theory and its intimate connection with complex multiplication. While most texts concentrate on only the elementary or advanced aspects of this story, Primes of the Form x2 + ny2 begins with Fermat and explains how his work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. Further, the book shows how the results of Euler and Gauss can be fully understood only in the context of class field theory. Finally, in order to bring class field theory down to earth, the book explores some of the magnificent formulas of complex multiplication. The central theme of the book is the story of which primes p can be expressed in the form x2 + ny2. An incomplete answer is given using quadratic forms. A better though abstract answer comes from class field theory, and finally, a concrete answer is provided by complex multiplication. Along the way, the reader is introduced to some wonderful number theory. Numerous exercises and examples are included. The book is written to be enjoyed by readers with modest mathematical backgrounds. Chapter 1 uses basic number theory and abstract algebra, while chapters 2 and 3 require Galois theory and complex analysis, respectively.

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372

Publisher

John Wiley & Sons

Published Date

ISBN 10

1118031008

ISBN 13

9781118031001

Toric Varieties

By: David A. Cox,John B. Little,Henry K. Schenck

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Toric Varieties

By: David A. Cox,John B. Little,Henry K. Schenck

Toric varieties form a beautiful and accessible part of modern algebraic geometry. This book covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry. Other topics covered include quotient constructions, vanishing theorems, equivariant cohomology, GIT quotients, the secondary fan, and the minimal model program for toric varieties. The subject lends itself to rich examples reflected in the 134 illustrations included in the text. The book also explores connections with commutative algebra and polyhedral geometry, treating both polytopes and their unbounded cousins, polyhedra. There are appendices on the history of toric varieties and the computational tools available to investigate nontrivial examples in toric geometry. Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat lesser degree, complex analysis. In addition, the authors assume that the reader has had some previous experience with algebraic geometry at an advanced undergraduate level. The book will be a useful reference for graduate students and researchers who are interested in algebraic geometry, polyhedral geometry, and toric varieties.

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870

Publisher

American Mathematical Society

Published Date

ISBN 10

147047820X

ISBN 13

9781470478209

Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

By: David A. Cox,John Little,Donal O'Shea

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Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

By: David A. Cox,John Little,Donal O'Shea

This text covers topics in algebraic geometry and commutative algebra with a strong perspective toward practical and computational aspects. The first four chapters form the core of the book. A comprehensive chart in the Preface illustrates a variety of ways to proceed with the material once these chapters are covered. In addition to the fundamentals of algebraic geometry—the elimination theorem, the extension theorem, the closure theorem and the Nullstellensatz—this new edition incorporates several substantial changes, all of which are listed in the Preface. The largest revision incorporates a new Chapter (ten), which presents some of the essentials of progress made over the last decades in computing Gröbner bases. The book also includes current computer algebra material in Appendix C and updated independent projects (Appendix D). The book may serve as a first or second course in undergraduate abstract algebra and with some supplementation perhaps, for beginning graduate level courses in algebraic geometry or computational algebra. Prerequisites for the reader include linear algebra and a proof-oriented course. It is assumed that the reader has access to a computer algebra system. Appendix C describes features of MapleTM, Mathematica® and Sage, as well as other systems that are most relevant to the text. Pseudocode is used in the text; Appendix B carefully describes the pseudocode used. Readers who are teaching from Ideals, Varieties, and Algorithms, or are studying the book on their own, may obtain a copy of the solutions manual by sending an email to jlittle@holycross.edu. From the reviews of previous editions: “...The book gives an introduction to Buchberger’s algorithm with applications to syzygies, Hilbert polynomials, primary decompositions. There is an introduction to classical algebraic geometry with applications to the ideal membership problem, solving polynomial equations and elimination theory. ...The book is well-written. ...The reviewer is sure that it will be an excellent guide to introduce further undergraduates in the algorithmic aspect of commutative algebra and algebraic geometry.” —Peter Schenzel, zbMATH, 2007 “I consider the book to be wonderful. ... The exposition is very clear, there are many helpful pictures and there are a great many instructive exercises, some quite challenging ... offers the heart and soul of modern commutative and algebraic geometry.” —The American Mathematical Monthly

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664

Publisher

Springer

Published Date

ISBN 10

3319167219

ISBN 13

9783319167213

Immunology of the Fungal Diseases

By: Rebecca A. Cox

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Immunology of the Fungal Diseases

By: Rebecca A. Cox

This informative text is divided into eight chapters, each of which presents a comprehensive review of natural and acquired host defense mechanisms in a major mycotic disease. The chapters are written by distinguished scientists whose studies have contributed significantly to the understanding of the immunology of the mycoses. This text should provide a valuable reference for researchers, practicing clinicians, and new investigators entering this expanding field.

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263

Publisher

CRC Press

Published Date

ISBN 10

1000098710

ISBN 13

9781000098716

Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

By: David A. Cox,John Little,DONAL OSHEA

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Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

By: David A. Cox,John Little,DONAL OSHEA

This book details the heart and soul of modern commutative and algebraic geometry. It covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. In addition to enhancing the text of the second edition, with over 200 pages reflecting changes to enhance clarity and correctness, this third edition of Ideals, Varieties and Algorithms includes: a significantly updated section on Maple; updated information on AXIOM, CoCoA, Macaulay 2, Magma, Mathematica and SINGULAR; and presents a shorter proof of the Extension Theorem.

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565

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Springer Science & Business Media

Published Date

ISBN 10

0387356517

ISBN 13

9780387356518

The Zen Arts

An Anthropological Study of the Culture of Aesthetic Form in Japan

By: Rupert A. Cox

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The Zen Arts

An Anthropological Study of the Culture of Aesthetic Form in Japan

By: Rupert A. Cox

Combining anthropological descriptions with historical criticism, Cox situates the Zen arts within contemporary critical discourses.

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300

Publisher

Psychology Press

Published Date

ISBN 10

0700714758

ISBN 13

9780700714759

Toric Varieties

By: David A. Cox,John B. Little,Henry K. Schenck

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Toric Varieties

By: David A. Cox,John B. Little,Henry K. Schenck

This title covers the standard topics in toric geometry; a novel feature is that each of the first nine chapters contains an introductory section on the necessary background material in algebraic geometry.

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874

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821884263

ISBN 13

9780821884263

Caregiving with God

22 Months with Jerry

By: Lois A. Cox PhD

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Caregiving with God

22 Months with Jerry

By: Lois A. Cox PhD

Marriage is a commitment not only to your spouse but to God. This is one story of such a love that took Lois and Jerry through over 50 years of marriage and a serious stroke, bringing a beautiful climax to their life together. God’s care during their 22 months together will inspire you.

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297

Publisher

WestBow Press

Published Date

ISBN 10

1664215182

ISBN 13

9781664215184

Managing Information in Organizations

A Practical Guide to Implementing an Information Management Strategy

By: Sharon A. Cox

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Managing Information in Organizations

A Practical Guide to Implementing an Information Management Strategy

By: Sharon A. Cox

New core text for Managing Information modules examining the issue of information management from both a business and an IT perspective. Grounded in the theory, it takes a practical, problem-solving approach that provides students with tools and insights to understand how to formulate and implement information management strategies.

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436

Publisher

Bloomsbury Publishing

Published Date

ISBN 10

1137316683

ISBN 13

9781137316684

Mirror Symmetry and Algebraic Geometry

By: David A. Cox,Sheldon Katz

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Mirror Symmetry and Algebraic Geometry

By: David A. Cox,Sheldon Katz

Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is the first completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem. This title features: numerous examples worked out in detail; an appendix on mathematical physics; an exposition of the algebraic theory of Gromov-Witten invariants and quantum cohomology; and, a proof of the mirror theorem for the quintic threefold.

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498

Publisher

American Mathematical Soc.

Published Date

ISBN 10

082182127X

ISBN 13

9780821821275

I, We, Us

A Journey of Personal Growth and Development

By: Richard A. Cox, Jr.

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I, We, Us

A Journey of Personal Growth and Development

By: Richard A. Cox, Jr.

Are you seeking personal growth and development in yourself? Are you looking for creative ways to bring harmony and balance to your life? Join author Richard Cox in I, We, Us as he takes you on a personal journey of self-discovery. I, We, Us explores the three identity dimensions of self. First, the idea of self is viewed in terms as a single individual, then as a partner in a marriage, and finally as a parent in a family unit. Having a solid understanding of self can provide a strong foundation for open and honest communication with others. These fundamental characteristics will enhance your identities as a partner in a marriage and as a parent in a family unit. As you read I, We, Us, you will discover many hidden treasures and gifts about yourself. I, We, Us explains through biblical references, principles, and concepts how to achieve harmony and balance between your three identity dimensions. I, We, Us shares insightful knowledge to stimulate your personal growth and development. Richard Cox is a graduate of Campbell University and the Long Ridge Writer's Group. He also is a freelance writer for Gospelcity.com, CrossCultureMedia.org, and GodAintNoJoke.com. He lives with his wife, Lena (Gail), and son, Brent, in Clinton, Maryland, who inspired I, We, Us.

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Tate Publishing

Published Date

ISBN 10

1615661565

ISBN 13

9781615661565

Risk Analysis of Complex and Uncertain Systems

By: Louis Anthony Cox Jr.

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Risk Analysis of Complex and Uncertain Systems

By: Louis Anthony Cox Jr.

In Risk Analysis of Complex and Uncertain Systems acknowledged risk authority Tony Cox shows all risk practitioners how Quantitative Risk Assessment (QRA) can be used to improve risk management decisions and policies. It develops and illustrates QRA methods for complex and uncertain biological, engineering, and social systems – systems that have behaviors that are just too complex to be modeled accurately in detail with high confidence – and shows how they can be applied to applications including assessing and managing risks from chemical carcinogens, antibiotic resistance, mad cow disease, terrorist attacks, and accidental or deliberate failures in telecommunications network infrastructure. This book was written for a broad range of practitioners, including decision risk analysts, operations researchers and management scientists, quantitative policy analysts, economists, health and safety risk assessors, engineers, and modelers.

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457

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387890149

ISBN 13

9780387890142

The Right Tools for the Job

On the Use and Performance of Management Tools and Techniques

By: A. Cox,C. Lonsdale,J. Sanderson,G. Watson

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The Right Tools for the Job

On the Use and Performance of Management Tools and Techniques

By: A. Cox,C. Lonsdale,J. Sanderson,G. Watson

This book is the result of a four-year study into the most commonly used management tools and techniques in the areas of business strategy and finance, marketing, production and operations, and procurement and supply chain management. It explains which tools are used in small, medium-sized and large companies, whether based in the US, Europe or Asia, across many different industrial and service sectors. It explains where companies find out about particular tools, and examines which appear to be the most successful.

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337

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Springer

Published Date

ISBN 10

0230509207

ISBN 13

9780230509207

Applications of Polynomial Systems

By: David A. Cox

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Applications of Polynomial Systems

By: David A. Cox

Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.

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264

Publisher

American Mathematical Soc.

Published Date

ISBN 10

1470451379

ISBN 13

9781470451370

God's One World Order

It’s All About Love!

By: Patsy A. Cox

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God's One World Order

It’s All About Love!

By: Patsy A. Cox

Throughout the Bible, God has revealed the real reason he created all things. In this book, author Patsy A. Cox discloses the many hidden secrets and mysteries shared by God. She faithfully followed his directions as he revealed these new things, and she began to search and dig deeper into each revelation. She discusses how the Bible begins and ends with the marriage of a bridegroom and bride from Genesis through Revelation. This relationship embraces God’s one world order that all should walk in love. Cox compares the betrothal and marriage of the lamb to the bride of Christ to the Jewish marriage customs. Each chapter discusses the love of God for his son, Jesus, and the bride of Christ. God’s One World Order warns and prepares the church for the soon coming of Christ, and it tells how the church will suffer through part of the tribulation. Cox shares this text with the hope hearts may be encouraged as they are knit together in unselfish love. She wants all to enjoy the riches that come from the full assurance of understanding the joy of salvation, resulting in a true and more intimate knowledge of the mystery of God.

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392

Publisher

WestBow Press

Published Date

ISBN 10

1973683016

ISBN 13

9781973683018

Vermillion City

A Selection of Poems

By: George A. Cox

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Vermillion City

A Selection of Poems

By: George A. Cox

This book targets people who suffered from Bipolar conditions.

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AuthorHouse

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ISBN 10

1728388724

ISBN 13

9781728388724

A Study of Singularities on Rational Curves Via Syzygies

By: David A. Cox,Andrew R. Kustin,Claudia Polini,Bernd Ulrich

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A Study of Singularities on Rational Curves Via Syzygies

By: David A. Cox,Andrew R. Kustin,Claudia Polini,Bernd Ulrich

Consider a rational projective curve $\mathcal{C}$ of degree $d$ over an algebraically closed field $\pmb k$. There are $n$ homogeneous forms $g_{1},\dots, g_{n}$ of degree $d$ in $B=\pmb k[x, y]$ which parameterize $\mathcal{C}$ in a birational, base point free, manner. The authors study the singularities of $\mathcal{C}$ by studying a Hilbert-Burch matrix $\varphi$ for the row vector $[g_{1},\dots, g_{n}]$. In the ``General Lemma'' the authors use the generalized row ideals of $\varphi$ to identify the singular points on $\mathcal{C}$, their multiplicities, the number of branches at each singular point, and the multiplicity of each branch. Let $p$ be a singular point on the parameterized planar curve $\mathcal{C}$ which corresponds to a generalized zero of $\varphi$. In the `'triple Lemma'' the authors give a matrix $\varphi'$ whose maximal minors parameterize the closure, in $\mathbb{P}^{2}$, of the blow-up at $p$ of $\mathcal{C}$ in a neighborhood of $p$. The authors apply the General Lemma to $\varphi'$ in order to learn about the singularities of $\mathcal{C}$ in the first neighborhood of $p$. If $\mathcal{C}$ has even degree $d=2c$ and the multiplicity of $\mathcal{C}$ at $p$ is equal to $c$, then he applies the Triple Lemma again to learn about the singularities of $\mathcal{C}$ in the second neighborhood of $p$. Consider rational plane curves $\mathcal{C}$ of even degree $d=2c$. The authors classify curves according to the configuration of multiplicity $c$ singularities on or infinitely near $\mathcal{C}$. There are $7$ possible configurations of such singularities. They classify the Hilbert-Burch matrix which corresponds to each configuration. The study of multiplicity $c$ singularities on, or infinitely near, a fixed rational plane curve $\mathcal{C}$ of degree $2c$ is equivalent to the study of the scheme of generalized zeros of the fixed balanced Hilbert-Burch matrix $\varphi$ for a parameterization of $\mathcal{C}$.

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132

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821887432

ISBN 13

9780821887431

The QFD Handbook

By: Jack B. ReVelle,John W. Moran,Charles A. Cox

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The QFD Handbook

By: Jack B. ReVelle,John W. Moran,Charles A. Cox

Das Konzept des Quality Function Deployment (QFD) setzt mit Hilfe einer Reihe von Matrizen Kundenwünsche in Konstruktions- oder Designerfordernisse um. Die Konstruktions- und Designerfordernisse wiederum werden umgesetzt in Produkt- bzw. Teilprodukteigenschaften, die ihrerseits wieder auf Produktionsprozesse und anschließend auf spezielle Prozeß- und Steuerungsmechanismen übertragen werden. Dieses Buch wendet das QFD Konzept auf eine Reihe von unternehmerischen Schlüsselthemen an, die bislang unbehandelt geblieben sind, wie z. B. ISO9000, Service Design, Robust Design und Software Design. Das Buch wird mit Begleitdiskette geliefert, die mit der entsprechenden QFD Software ausgestattet ist. (11/97)

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468

Publisher

John Wiley & Sons

Published Date

ISBN 10

0471173819

ISBN 13

9780471173816

Quantitative Health Risk Analysis Methods

Modeling the Human Health Impacts of Antibiotics Used in Food Animals

By: Louis Anthony Cox Jr.

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Quantitative Health Risk Analysis Methods

Modeling the Human Health Impacts of Antibiotics Used in Food Animals

By: Louis Anthony Cox Jr.

This book grew out of an effort to salvage a potentially useful idea for greatly simplifying traditional quantitative risk assessments of the human health consequences of using antibiotics in food animals. In 2001, the United States FDA’s Center for Veterinary Medicine (CVM) (FDA-CVM, 2001) published a risk assessment model for potential adverse human health consequences of using a certain class of antibiotics, fluoroquinolones, to treat flocks of chickens with fatal respiratory disease caused by infectious bacteria. CVM’s concern was that fluoroquinolones are also used in human medicine, raising the possibility that fluoroquinolone-resistant strains of bacteria selected by use of fluoroquinolones in chickens might infect humans and then prove resistant to treatment with human medicines in the same class of antibiotics, such as ciprofloxacin. As a foundation for its risk assessment model, CVM proposed a dramatically simple approach that skipped many of the steps in traditional risk assessment. The basic idea was to assume that human health risks were directly proportional to some suitably defined exposure metric. In symbols: Risk = K × Exposure, where “Exposure” would be defined in terms of a metric such as total production of chicken contaminated with fluoroquinolone-resistant bacteria that might cause human illnesses, and “Risk” would describe the expected number of cases per year of human illness due to fluoroquinolone-resistant bacterial infections caused by chicken and treated with fluoroquinolones.

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363

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Springer Science & Business Media

Published Date

ISBN 10

0387261184

ISBN 13

9780387261188

Business Relationships for Competitive Advantage

Managing Alignment and Misalignment in Buyer and Supplier Transactions

By: A. Cox,C. Lonsdale,J. Sanderson,G. Watson

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Business Relationships for Competitive Advantage

Managing Alignment and Misalignment in Buyer and Supplier Transactions

By: A. Cox,C. Lonsdale,J. Sanderson,G. Watson

This book provides the first summary and critical appraisal of the thinking that currently informs the management of business relationships, from the perspectives of both the buyer and supplier. The authors argue that these approaches are one-dimensional and instead recommend a more holistic approach based on power, interaction and portfolio perspectives. The book provides evidence of how relationships can be aligned and misaligned in practice, using eighteen examples drawn from a variety of business cases and circumstances.

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255

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Springer

Published Date

ISBN 10

0230509193

ISBN 13

9780230509191

Strategic Requirements Analysis

From Interviews to Models

By: Karl A. Cox

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Strategic Requirements Analysis

From Interviews to Models

By: Karl A. Cox

A strategic requirement is something an organisation sets out to achieve; it could be the long-term vision the organisation sets itself, the key business condition for a specific project to be a success or a business strategy to achieve a goal. A set of strategic requirements defines the goals, strategies and tactics that organisations need to put in place to give them direction and impetus. Business analysts and consultants have to understand strategic requirements to know where projects can deliver business benefits and where not. The ability of the analyst to interview, gather, analyse, model and present strategic requirements is key to success. The primary tool consultants and business analysts use for communication is talking; but, if you cannot present all that incredible information back to your client effectively, it is hard for them and you to get to grips quickly enough with what is going on. Being able to present a model is really powerful because it provides a visual format and structure on one page to reason about those strategic requirements. Dr Karl A. Cox offers a process, guidelines and ideas - that have been tried and tested in practice - for conducting interviews and shows you how to rapidly turn interview findings into strategic requirements models all on one page, to present to your clients, customers, team and / or supervisors.

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199

Publisher

Routledge

Published Date

ISBN 10

1317049543

ISBN 13

9781317049548

European Development Cooperation and the Poor

By: A. Cox,J. Healey,P. Hoebink,T. Voipio

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European Development Cooperation and the Poor

By: A. Cox,J. Healey,P. Hoebink,T. Voipio

What are the poverty reduction goals of the European development cooperation agencies? This book examines the credibility of their actual record in terms of their commitment and approaches to poverty reduction. The poverty impact of their aid programmes and their good and bad practices are assessed based on field studies in seven poor countries.

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254

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Springer

Published Date

ISBN 10

0333983173

ISBN 13

9780333983171

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