David Eisenbud's Books

Parapsychology, Philosophy, and Spirituality

A Postmodern Exploration

By: David Ray Griffin

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Parapsychology, Philosophy, and Spirituality

A Postmodern Exploration

By: David Ray Griffin

Examines why parapsychology has been held in disdain by scientists, philosophers, and theologians, explores the evidence for ESP, psychokinesis, and life after death, and suggests that these phenomena provide support for a meaningful postmodern spirituality.

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358

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SUNY Press

Published Date

ISBN 10

0791433153

ISBN 13

9780791433157

3264 and All That

A Second Course in Algebraic Geometry

By: David Eisenbud,Joe Harris

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3264 and All That

A Second Course in Algebraic Geometry

By: David Eisenbud,Joe Harris

This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics.

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633

Publisher

Cambridge University Press

Published Date

ISBN 10

1316679381

ISBN 13

9781316679388

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 Geometry of Schemes

By: David Eisenbud,Joe Harris

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The Geometry of Schemes

By: David Eisenbud,Joe Harris

Grothendieck’s beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.

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265

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Springer Science & Business Media

Published Date

ISBN 10

0387226397

ISBN 13

9780387226392

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 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

0387356509

ISBN 13

9780387356501

Gröbner Bases and the Computation of Group Cohomology

By: David J. Green

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Gröbner Bases and the Computation of Group Cohomology

By: David J. Green

This monograph develops the Gröbner basis methods needed to perform efficient state-of- the-art calculations in the cohomology of finite groups. Results obtained include the first counterexample to the conjecture that the ideal of essential classes squares to zero. The context is J.F. Carlson's minimal resolutions approach to cohomology computations.

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141

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Springer

Published Date

ISBN 10

3540396802

ISBN 13

9783540396802

The Red Book of Varieties and Schemes

Includes the Michigan Lectures (1974) on Curves and their Jacobians

By: David Mumford

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The Red Book of Varieties and Schemes

Includes the Michigan Lectures (1974) on Curves and their Jacobians

By: David Mumford

Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

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316

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Springer

Published Date

ISBN 10

3540460217

ISBN 13

9783540460213

Differential Algebras in Topology

By: David Anik

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Differential Algebras in Topology

By: David Anik

This research monograph in the field of algebraic topology contains many thought-provoking discussions of open problems and promising research directions.

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302

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CRC Press

Published Date

ISBN 10

1439864594

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9781439864593

An Introduction to Riemann-Finsler Geometry

By: David Dai-Wai Bao,S.-S. Chern,Z. Shen

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An Introduction to Riemann-Finsler Geometry

By: David Dai-Wai Bao,S.-S. Chern,Z. Shen

This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.

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460

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Springer Science & Business Media

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ISBN 10

038798948X

ISBN 13

9780387989488

The Canonical Ring of a Stacky Curve

By: John Voight,David Zureick-Brown

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The Canonical Ring of a Stacky Curve

By: John Voight,David Zureick-Brown

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142

Publisher

American Mathematical Society

Published Date

ISBN 10

1470452286

ISBN 13

9781470452285

Child and Adolescent Development for Educators

By: Christine B. McCormick,David G. Scherer

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Child and Adolescent Development for Educators

By: Christine B. McCormick,David G. Scherer

This accessible text--now revised and updated--has given thousands of future educators a solid grounding in developmental science to inform their work in schools. The book reviews major theories of development and their impact on educational practice. Chapters examine how teaching and learning intersect with specific domains of child and adolescent development--language, intelligence and intellectual diversity, motivation, family and peer relationships, gender roles, and mental health. Pedagogical features include chapter summaries, definitions of key terms, and boxes addressing topics of special interest to educators. Instructors requesting a desk copy receive a supplemental test bank with objective test items and essay questions for each chapter. (First edition authors: Michael Pressley and Christine B. McCormick.) New to This Edition *Extensively revised to reflect a decade's worth of advances in developmental research, neuroscience, and genetics. *Greatly expanded coverage of family and peer relationships, with new content on social–emotional learning, social media, child care, and early intervention. *Discussions of executive function, theory of mind, and teacher–student relationships. *Increased attention to ethnic–racial, gender, and LGBT identity development. *Many new and revised practical examples and topic boxes.

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514

Publisher

Guilford Publications

Published Date

ISBN 10

146253483X

ISBN 13

9781462534838

Unsnarling the World-Knot

Consciousness, Freedom, and the Mind-Body Problem

By: David Ray Griffin

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Unsnarling the World-Knot

Consciousness, Freedom, and the Mind-Body Problem

By: David Ray Griffin

The mind-body problem, which Schopenhauer called the "world-knot," has been a central problem for philosophy since the time of Descartes. Among realists--those who accept the reality of the physical world--the two dominant approaches have been dualism and materialism, but there is a growing consensus that, if we are ever to understand how mind and body are related, a radically new approach is required. David Ray Griffin develops a third form of realism, one that resolves the basic problem (common to dualism and materialism) of the continued acceptance of the Cartesian view of matter. In dialogue with various philosophers, including Dennett, Kim, McGinn, Nagel, Seager, Searle, and Strawson, Griffin shows that materialist physicalism is even more problematic than dualism. He proposes instead a panexperientialist physicalism grounded in the process philosophy of Alfred North Whitehead. Answering those who have rejected "panpsychism" as obviously absurd, Griffin argues compellingly that panexperientialism, by taking experience and spontaneity as fully natural, can finally provide a naturalistic account of the emergence of consciousness--an account that also does justice to the freedom we all suppose in practice.

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282

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Wipf and Stock Publishers

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ISBN 10

1725221330

ISBN 13

9781725221338

Plastic Surgery E-Book

Volume 4: Trunk and Lower Extremity

By: David H Song,Joon Pio Hong,Peter C. Neligan

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Plastic Surgery E-Book

Volume 4: Trunk and Lower Extremity

By: David H Song,Joon Pio Hong,Peter C. Neligan

Comprehensive and fully up to date, the six-volume Plastic Surgery remains the gold standard text in this complex area of surgery. Completely revised to meet the demands of both the trainee and experienced surgeon, Trunk and Lower Extremity, Volume 4 of Plastic Surgery, 5th Edition, features new, full-color clinical photos, procedural videos, lectures, and authoritative coverage of hot topics in the field. Editor-narrated video presentations offer a step-by-step audio-visual walkthrough of techniques and procedures. - New chapters cover diabetes and foot reconstruction; expands and updates coverage of lymphedema and gender affirmation surgery; and coverage throughout includes new, pioneering translational work shaping the future of trunk and lower extremity surgery. - New digital video preface by Dr. Peter C. Neligan addresses the changes across all six volumes. - New treatment and decision-making algorithms added to chapters where applicable. - New video lectures and editor-narrated slide presentations offer a step-by-step audiovisual walkthrough of techniques and procedures. - Evidence-based advice from an expanded roster of international experts allows you to apply the very latest advances in trunk and lower extremity surgery and ensure optimal outcomes. - Purchase this volume individually or own the entire set, with the ability to search across all six volumes online!

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1788

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

0323873804

ISBN 13

9780323873802

Commutative Harmonic Analysis

Proceedings of a SLU-GTE Conference, Held July 27-29, 1987, with Support from St. Lawrence University and General Telephone and Electronics Corporation

By: David Colella,General Telephone & Electronics Corporation

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Commutative Harmonic Analysis

Proceedings of a SLU-GTE Conference, Held July 27-29, 1987, with Support from St. Lawrence University and General Telephone and Electronics Corporation

By: David Colella,General Telephone & Electronics Corporation

Contains an array of both expository and research articles which represents the proceedings of a conference on commutative harmonic analysis, held in July 1987 and sponsored by St Lawrence University and GTE Corporation. This book is suitable for those beginning research in commutative harmonic analysis.

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320

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821850970

ISBN 13

9780821850978

Control Systems Theory and Applications for Linear Repetitive Processes

By: Eric Rogers,Krzysztof Galkowski,David H. Owens

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Control Systems Theory and Applications for Linear Repetitive Processes

By: Eric Rogers,Krzysztof Galkowski,David H. Owens

After motivating examples, this monograph gives substantial new results on the analysis and control of linear repetitive processes. These include further applications of the abstract model based stability theory which, in particular, shows the critical importance to the dynamics developed of the structure of the initial conditions at the start of each new pass, the development of stability tests and performance bounds in terms of so-called 1D and 2D Lyapunov equations. It presents the development of a major bank of results on the structure and design of control laws, including the case when there is uncertainty in the process model description, together with numerically reliable computational algorithms. Finally, the application of some of these results in the area of iterative learning control is treated --- including experimental results from a chain conveyor system and a gantry robot system.

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477

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540715371

ISBN 13

9783540715375

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

Algebraic Functions and Projective Curves

By: David Goldschmidt

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Algebraic Functions and Projective Curves

By: David Goldschmidt

This book grew out of a set of notes for a series of lectures I orginally gave at the Center for Communications Research and then at Princeton University. The motivation was to try to understand the basic facts about algebraic curves without the modern prerequisite machinery of algebraic geometry. Of course, one might well ask if this is a good thing to do. There is no clear answer to this question. In short, we are trading off easier access to the facts against a loss of generality and an impaired understanding of some fundamental ideas. Whether or not this is a useful tradeoff is something you will have to decide for yourself. One of my objectives was to make the exposition as self-contained as possible. Given the choice between a reference and a proof, I usually chose the latter. - though I worked out many of these arguments myself, I think I can con?dently predict that few, if any, of them are novel. I also made an effort to cover some topics that seem to have been somewhat neglected in the expository literature.

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196

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0387954325

ISBN 13

9780387954325

Environmental Engineers' Handbook on CD-ROM

By: David H.F. Liu,Bela G. Liptak

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Environmental Engineers' Handbook on CD-ROM

By: David H.F. Liu,Bela G. Liptak

This CRCnetBASE version of the best-selling Environmental Engineers' Handbook contains all of the revised, expanded, and updated information of the second edition and more. The fully searchable CD-ROM offers virtually instant access to all of the interrelated factors and principles affecting our environment as well as how the government and the industry must deal with it. It addresses the ongoing global transition in cleaning up the remains of abandoned technology, the prevention of pollution created by existing technology. The Environmental Engineers' Handbook on CD-ROM provides daily problem solving tools and information on state-of-the-art technologies for the future. The technology and specific equipment used in environmental control and clean-up is included for those professionals in need of detailed technical information. Because analytical results are an essential part of any environmental study, analytical methods used in environmental analysis are presented as well. Data is clearly presented in tables and schematic diagrams that illustrate the technology and techniques used in different areas. Béla G. Lipták speaks on Post-Oil Energy Technology on the AT&T Tech Channel.

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1420

Publisher

CRC Press

Published Date

ISBN 10

0849321573

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9780849321573

Doubt Is Their Product

How Industry's Assault on Science Threatens Your Health

By: David Michaels

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Doubt Is Their Product

How Industry's Assault on Science Threatens Your Health

By: David Michaels

Doubt is our product," a cigarette executive once observed, "since it is the best means of competing with the 'body of fact' that exists in the minds of the general public. It is also the means of establishing a controversy." In this eye-opening expose, David Michaels reveals how the tobacco industry's duplicitous tactics spawned a multimillion dollar industry that is dismantling public health safeguards. Product defense consultants, he argues, have increasingly skewed the scientific literature, manufactured and magnified scientific uncertainty, and influenced policy decisions to the advantage of polluters and the manufacturers of dangerous products. To keep the public confused about the hazards posed by global warming, second-hand smoke, asbestos, lead, plastics, and many other toxic materials, industry executives have hired unscrupulous scientists and lobbyists to dispute scientific evidence about health risks. In doing so, they have not only delayed action on specific hazards, but they have constructed barriers to make it harder for lawmakers, government agencies, and courts to respond to future threats. The Orwellian strategy of dismissing research conducted by the scientific community as "junk science" and elevating science conducted by product defense specialists to "sound science" status also creates confusion about the very nature of scientific inquiry and undermines the public's confidence in science's ability to address public health and environmental concerns Such reckless practices have long existed, but Michaels argues that the Bush administration deepened the dysfunction by virtually handing over regulatory agencies to the very corporate powers whose products and behavior they are charged with overseeing. In Doubt Is Their Product Michaels proves, beyond a doubt, that our regulatory system has been broken. He offers concrete, workable suggestions for how it can be restored by taking the politics out of science and ensuring that concern for public safety, rather than private profits, guides our regulatory policy. Named one of the best Sci-Tech books of 2008 by Library Journal!

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385

Publisher

Oxford University Press

Published Date

ISBN 10

0199885257

ISBN 13

9780199885251

Dictionary of Environmentally Important Chemicals

By: David C. Ayres,Desmond G. Hellier

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Dictionary of Environmentally Important Chemicals

By: David C. Ayres,Desmond G. Hellier

A quick reference for information on chemicals of environmental importance, this dictionary has been carefully compiled and designed to make it useful for students. About 600 substances are covered in alphabetically arranged entries: these include some 70 pesticides. Entries vary in detail depending on individual aspects, but in general they include: composition/structure; physical propertied; sources; environmentally relevant reactions and pathways; detection; and toxic effects and regulatory limits. Many entries include short case histories. Immediately relevant sources are quoted for individual entries and a bibliography of principle publications and texts for further reading is included.

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344

Publisher

Routledge

Published Date

ISBN 10

1351455451

ISBN 13

9781351455459

Modular Invariant Theory

By: H.E.A. Eddy Campbell,David L. Wehlau

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Modular Invariant Theory

By: H.E.A. Eddy Campbell,David L. Wehlau

This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.

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233

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Springer Science & Business Media

Published Date

ISBN 10

3642174043

ISBN 13

9783642174049

Biomonitoring of Trace Aquatic Contaminants

By: David J.H. Phillips,Philip S. Rainbow

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Biomonitoring of Trace Aquatic Contaminants

By: David J.H. Phillips,Philip S. Rainbow

Twenty years ago, researchers wishing to identify contaminated areas in aquatic environments generally took water samples, and analysed them badly (as we have since discovered) for a few "pollutants" which were of topical note at the time (and which could be quantified by the methods then available). Today, the use of aquatic organisms as biomonitors in preference to water analysis has become commonplace, and many national and interna tional programmes exist around the world involving such studies. We believe that this trend will continue, and have complete faith in the methodology (when it is employed correctly). We hope that the following text assists in some part in attaining this goal, such that the quality of our most basic global resource -water - is adequately protected in the future. DAVE PHILLIPS, PHIL RAINBOW England, March 1992 vii Acknowledgements Our thanks for contributions to this book are due to several individuals and groups, for varying reasons. Firstly, a co-authored book is always a triumph, and we trust that the following text is an acceptable compromise of the views of two individual authors, on a complex and developing topic. Secondly, many of the ideas herein have crystallised over the last two decades as the field has grown, and we are individually and collectively grateful to a number of researchers for their insight and assistance.

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380

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Springer Science & Business Media

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ISBN 10

9401121222

ISBN 13

9789401121224

Threading Homology Through Algebra

Selected Patterns

By: G. Boffi,David Buchsbaum

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Threading Homology Through Algebra

Selected Patterns

By: G. Boffi,David Buchsbaum

Aimed at graduate students and researchers in mathematics, this book takes homological themes, such as Koszul complexes and their generalizations, and shows how these can be used to clarify certain problems in selected parts of algebra, as well as their success in solving a number of them.

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268

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Oxford University Press

Published Date

ISBN 10

0198524994

ISBN 13

9780198524991

The Chromosomal Imbalance Theory of Cancer

The Autocatalyzed Progression of Aneuploidy is Carcinogenesis

By: David Rasnick

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The Chromosomal Imbalance Theory of Cancer

The Autocatalyzed Progression of Aneuploidy is Carcinogenesis

By: David Rasnick

Exploring the chromosomal imbalance (aneuploidy) theory of cancer, this volume describes how cancer is initiated and why progression takes years to decades. It clarifies why cancer cells often become drug resistant, provides objective, quantitative measures for detecting cancer and monitoring its progression, and suggests non-toxic strategies of ca

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354

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CRC Press

Published Date

ISBN 10

1466502495

ISBN 13

9781466502499

God and Religion in the Postmodern World

Essays in Postmodern Theology

By: David Ray Griffin

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God and Religion in the Postmodern World

Essays in Postmodern Theology

By: David Ray Griffin

Addressed to readers who have found liberal theology empty or who believe that one cannot be religious and fully rational and empirical at the same time.

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198

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SUNY Press

Published Date

ISBN 10

0887069290

ISBN 13

9780887069291

Chemical Principles of Environmental Pollution, Second Edition

By: Brian Alloway,David C. Ayres

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Chemical Principles of Environmental Pollution, Second Edition

By: Brian Alloway,David C. Ayres

An authoritative introduction to the scientific principles underlying environmental pollution, this book covers the transport, toxicity, and analysis of pollutants and discusses the major types of contaminant chemicals. Students will gain an understanding of the scientific principles of pollution at the chemical level and be able to approach the contentious issues in a rational way. Taking a pollution oriented approach, the authors discuss legislative limits, analysis of metals, oestrogenic chemicals, indoor and vehicular pollution, pesticides, dioxin-like substances, and more.

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424

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CRC Press

Published Date

ISBN 10

0751403806

ISBN 13

9780751403800

Selected Papers

On the Classification of Varieties and Moduli Spaces

By: David Mumford

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Selected Papers

On the Classification of Varieties and Moduli Spaces

By: David Mumford

Mumford is a well-known mathematician and winner of the Fields Medal, the highest honor available in mathematics. Many of these papers are currently unavailable, and the commentaries by Gieseker, Lange, Viehweg and Kempf are being published here for the first time.

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834

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Springer Science & Business Media

Published Date

ISBN 10

038721092X

ISBN 13

9780387210926

Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

By: David Cox,John Little,DONAL OSHEA

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Ideals, Varieties, and Algorithms

An Introduction to Computational Algebraic Geometry and Commutative Algebra

By: David Cox,John Little,DONAL OSHEA

Written at a level appropriate to undergraduates, this book covers such topics as the Hilbert Basis Theorem, the Nullstellensatz, invariant theory, projective geometry, and dimension theory. Contains a new section on Axiom and an update about MAPLE, Mathematica and REDUCE.

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523

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Springer Science & Business Media

Published Date

ISBN 10

1475721811

ISBN 13

9781475721812

Oral and Maxillofacial Radiology

A Diagnostic Approach

By: David MacDonald

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Oral and Maxillofacial Radiology

A Diagnostic Approach

By: David MacDonald

To the dentist or maxillofacial practitioner, radiology is an essential diagnostic discipline and a valuable tool for treatment planning. Now more than ever, dentists are often the first to encounter lesions of the face and jaws and are frequently held liable for recognizing pathologies and other sites of concern. Oral and Maxillofacial Radiology: A Diagnostic Approach provides clinicians of varied disciplines and skill levels a practical and systematic approach to diagnosing lesions affecting the face and jaws. Firmly grounded in evidence-based research, the book presents a clear understanding of the clinical impact of each lesion within a prospective diagnosis. Oral and Maxillofacial Radiology is logically organized, beginning with the basics of radiological diagnosis before discussing each of the advanced imaging modalities in turn. Modalities discussed include helical and cone-beam computed tomography, magnetic resonance imaging, positron emission tomography, and ultrasonography. Later chapters cover radiological pathologies of the jaw, and also those of the head and neck immediately outside the oral and maxillofacial region. Written by a recognized expert in the field, Oral and Maxillofacial Radiology contains a multitude of clinical images, practical examples, and flowcharts to facilitate differential diagnosis.

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364

Publisher

John Wiley & Sons

Published Date

ISBN 10

0813814146

ISBN 13

9780813814148

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

Geometric Invariant Theory

By: David Mumford,John Fogarty,Frances Kirwan

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Geometric Invariant Theory

By: David Mumford,John Fogarty,Frances Kirwan

Geometric Invariant Theory" by Mumford/Fogarty (the firstedition was published in 1965, a second, enlarged editonappeared in 1982) is the standard reference on applicationsof invariant theory to the construction of moduli spaces.This third, revised edition has been long awaited for by themathematical community. It is now appearing in a completelyupdated and enlarged version with an additional chapter onthe moment map by Prof. Frances Kirwan (Oxford) and a fullyupdated bibliography of work in this area.The book deals firstly with actions of algebraic groups onalgebraic varieties, separating orbits by invariants andconstructionquotient spaces; and secondly with applicationsof this theory to the construction of moduli spaces.It is a systematic exposition of the geometric aspects ofthe classical theory of polynomial invariants.

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314

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540569634

ISBN 13

9783540569633

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

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1475769113

ISBN 13

9781475769111

Environmental Health Risks and Public Policy

Decision Making in Free Societies

By: David V. Bates

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Environmental Health Risks and Public Policy

Decision Making in Free Societies

By: David V. Bates

How democratic societies discover and deal with such health hazards is the theme of Environmental Health Risks and Public Policy. Often frightening in its direct recitation of medical evidence, always compelling as the work of a medical man deeply concerned with human health, it examines the ways in which science and public policy interact, sometimes to protect the public, sometimes to thwart prompt action.

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Page Count

152

Publisher

University of Washington Press

Published Date

ISBN 10

0295973366

ISBN 13

9780295973364

Book's by David Eisenbud

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