Kenneth R. Pearson's Books

Abstract Algebra and Famous Impossibilities

By: Arthur Jones,Sidney A. Morris,Kenneth R. Pearson

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Abstract Algebra and Famous Impossibilities

By: Arthur Jones,Sidney A. Morris,Kenneth R. Pearson

The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these men and women, the problems would not yield to purely geometrical methods. It was only the development. of abstract algebra in the nineteenth century which enabled mathematicians to arrive at the surprising conclusion that these constructions are not possible. In this book we develop enough abstract algebra to prove that these constructions are impossible. Our approach introduces all the relevant concepts about fields in a way which is more concrete than usual and which avoids the use of quotient structures (and even of the Euclidean algorithm for finding the greatest common divisor of two polynomials). Having the geometrical questions as a specific goal provides motivation for the introduction of the algebraic concepts and we have found that students respond very favourably. We have used this text to teach second-year students at La Trobe University over a period of many years, each time refining the material in the light of student performance.

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191

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Springer Science & Business Media

Published Date

ISBN 10

1441985522

ISBN 13

9781441985521

Abstract Algebra and Famous Impossibilities

Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations

By: Sidney A. Morris,Arthur Jones,Kenneth R. Pearson

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Abstract Algebra and Famous Impossibilities

Squaring the Circle, Doubling the Cube, Trisecting an Angle, and Solving Quintic Equations

By: Sidney A. Morris,Arthur Jones,Kenneth R. Pearson

This textbook develops the abstract algebra necessary to prove the impossibility of four famous mathematical feats: squaring the circle, trisecting the angle, doubling the cube, and solving quintic equations. All the relevant concepts about fields are introduced concretely, with the geometrical questions providing motivation for the algebraic concepts. By focusing on problems that are as easy to approach as they were fiendishly difficult to resolve, the authors provide a uniquely accessible introduction to the power of abstraction. Beginning with a brief account of the history of these fabled problems, the book goes on to present the theory of fields, polynomials, field extensions, and irreducible polynomials. Straightedge and compass constructions establish the standards for constructability, and offer a glimpse into why squaring, doubling, and trisecting appeared so tractable to professional and amateur mathematicians alike. However, the connection between geometry and algebra allows the reader to bypass two millennia of failed geometric attempts, arriving at the elegant algebraic conclusion that such constructions are impossible. From here, focus turns to a challenging problem within algebra itself: finding a general formula for solving a quintic polynomial. The proof of the impossibility of this task is presented using Abel’s original approach. Abstract Algebra and Famous Impossibilities illustrates the enormous power of algebraic abstraction by exploring several notable historical triumphs. This new edition adds the fourth impossibility: solving general quintic equations. Students and instructors alike will appreciate the illuminating examples, conversational commentary, and engaging exercises that accompany each section. A first course in linear algebra is assumed, along with a basic familiarity with integral calculus.

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233

Publisher

Springer Nature

Published Date

ISBN 10

3031056981

ISBN 13

9783031056987

Applying Benford's Law for Assessing the Validity of Social Science Data

By: Michael A. Long,Paul B. Stretesky,Kenneth J. Berry,Janis E. Johnston,Michael J. Lynch

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Applying Benford's Law for Assessing the Validity of Social Science Data

By: Michael A. Long,Paul B. Stretesky,Kenneth J. Berry,Janis E. Johnston,Michael J. Lynch

Benford's Law is a probability distribution for the likelihood of the leading digit in a set of numbers. This book seeks to improve and systematize the use of Benford's Law in the social sciences to assess the validity of self-reported data. The authors first introduce a new measure of conformity to the Benford distribution that is created using permutation statistical methods and employs the concept of statistical agreement. In a switch from a typical Benford application, this book moves away from using Benford's Law to test whether the data conform to the Benford distribution, to using it to draw conclusions about the validity of the data. The concept of 'Benford validity' is developed, which indicates whether a dataset is valid based on comparisons with the Benford distribution and, in relation to this, diagnostic procedure that assesses the impact of not having Benford validity on data analysis is devised.

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221

Publisher

Cambridge University Press

Published Date

ISBN 10

1009463683

ISBN 13

9781009463683

Cough: An Interdisciplinary Problem, An Issue of Otolaryngologic Clinics

By: Kenneth W. Altman,Richard S. Irwin

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Cough: An Interdisciplinary Problem, An Issue of Otolaryngologic Clinics

By: Kenneth W. Altman,Richard S. Irwin

Both acute and chronic cough are responsible for a significant number of ambulatory medical visits annually. The recent comprehensive understanding that “cough is a reflection of underlying disease pays tribute to the multifactorial causes, as well recognition of the respiratory and upper digestive tract as a “physiologic unit. This publication highlights the advances made in managing cough and brings these to otolaryngology practitioners in a concise forum, as well as presenting issues of special interest to laryngologists such as paradoxical vocal fold motion, disordered breathing, irritable larynx, evolution of the vagus as a protective circuit, the importance of cough in deglutition, and surgical interventions. Some of the topics include: The cough reflex, sensory receptors, and neurogenic mediators; Mucus and mucins; Cough and Swallowing dysfunction; Cough due to asthma, cough-variant asthma, and nonasthmatic eosinophilic bronchitis; Occupational, environmental, and irritant induced cough; Pharmacologic management; Unexplained cough; Cough in the pediatric population; and Rhinogenic laryngitis, cough and the unified airway; among others.

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Page Count

237

Publisher

Elsevier Health Sciences

Published Date

ISBN 10

1455700517

ISBN 13

9781455700516

A Practical Guide to Data Structures and Algorithms using Java

By: Sally. A Goldman,Kenneth. J Goldman

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A Practical Guide to Data Structures and Algorithms using Java

By: Sally. A Goldman,Kenneth. J Goldman

Although traditional texts present isolated algorithms and data structures, they do not provide a unifying structure and offer little guidance on how to appropriately select among them. Furthermore, these texts furnish little, if any, source code and leave many of the more difficult aspects of the implementation as exercises. A fresh alternative to

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Page Count

1056

Publisher

CRC Press

Published Date

ISBN 10

1420010336

ISBN 13

9781420010336

Evidence-Based Assessment in ASD (Autism Spectrum Disorder)

What Is Available, What Is Appropriate and What Is ‘Fit-for-Purpose'

By: Kenneth Aitken

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Evidence-Based Assessment in ASD (Autism Spectrum Disorder)

What Is Available, What Is Appropriate and What Is ‘Fit-for-Purpose'

By: Kenneth Aitken

Advocating for an increased emphasis on evidence-based practice, this book describes and analyses a wide range of available Autism Spectrum Disorder (ASD) assessment measures. The author offers guidance on how to evaluate services and programmes and how to recognise which will be most effective in different scenarios for people with differing needs. A wide range of measures are reviewed in detail, including assessments used in situations often ignored in overviews relevant to ASD, such as assessments of internet addiction, response to traumatic stress, and criminal offending risk and witness credibility. This book is an invaluable resource to professionals who support people with ASDs, including social workers and teachers, and who are under increasing pressure to reliably assess which services, programmes and therapies are effective and fit-for-purpose.

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Page Count

498

Publisher

Jessica Kingsley Publishers

Published Date

ISBN 10

0857009443

ISBN 13

9780857009449

Risk-Return Analysis: The Theory and Practice of Rational Investing (Volume One)

By: Harry M. Markowitz,Kenneth Blay

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Risk-Return Analysis: The Theory and Practice of Rational Investing (Volume One)

By: Harry M. Markowitz,Kenneth Blay

The two most important words Harry Markowitz ever wrote are "portfolio selection." In 1952, when everyone in the stock market was looking for the next hot stock, as a doctoral candidate, he proposed to look at many, diverse stocks--a portfolio. He laid the first cornerstone of Modern Portfolio Theory and defended the idea that strategic asset growth means factoring in the risk of an investment. More than 60 years later, the father of modern finance revisits his original masterpiece, describes how his theory has developed, and proves the vitality of his risk-return analysis in the current global economy. Risk-Return Analysis opens the door to a groundbreaking four-book series giving readers a privileged look at the personal reflections and current strategies of a luminary in finance. This first volume is Markowitz's response to what he calls the "Great Confusion" that spread when investors lost faith in the diversification benefits of MPT during the financial crisis of 2008. It demonstrates why MPT never became ineffective during the crisis, and how you can continue to reap the rewards of managed diversification into the future. Economists and financial advisors will benefit from the potent balance of theory and hard data on mean-variance analysis aimed at improving decision-making skills. Written for the academic and the practitioner with some math skills (mostly high school algebra), this richly illustrated guide arms you with: Concrete steps to accurately select and apply the right risk measures in a given circumstance Rare surveys of a half-century of literature covering the applicability of MPT Empirical data showing mean and riskmeasure used to maximize return in the long term PRAISE FOR RISK-RETURN ANALYSIS "Harry Markowitz invented portfolio analysis and presented the theory in his famous 1952 article and 1959 book. Nobody has greater insight into the process than Harry. No academic or practitioner can truly claim to understand portfolio analysis unless they have read this volume." -- Martin J. Gruber, Professor Emeritus and Scholar in Residence, Stern School of Business, New York University "Surveying the vast literature inspired by [Markowitz's] own 1959 book has stimulated an outpouring of ideas. He builds on the strengths and limitations of the important papers in order to come up with a position that should silence a lot of critics." -- Jack Treynor, President, Treynor Capital Management "The authors do not overlook various criticisms of the MPT, but rather address them convincingly. This excellent book is an essential reference for academics and practitioners alike." -- Haim Levy, Miles Robinson Professor of Finance, Hebrew University, Jerusalem, Israel "Markowitz’s groundbreaking publications on Portfolio Selection prescribe a methodology that a rational decision-maker can follow to optimize his investment portfolio in a risky world. . . . This challenging new book clarifies many common misconceptions about modern portfolio theory." -- Roger C. Gibson, author of Asset Allocation and Chief Investment Officer, Gibson Capital, LLC "Contain[s] great wisdom that every economist, portfolio manager, and investor should savor page by page." -- Andrew W. Lo, Charles E. and Susan T. Harris Professor and Director, Laboratory for Financial Engineering, MIT Sloan School of Management "[Markowitz's] monumental work in the 1950s would be sufficient to qualify as a lifetime achievement for most mortals, but he keeps spouting fresh insights like lightning flashes year after year, and penetrating ever deeper into the theory, mathematics, and practice of investing." -- Martin Leibowitz, Managing Director, Global Research Strategy, Morgan Stanley "Risk–Return Analysis is a wonderful work in progress by a remarkable scholar who always has time to read what matters, who has the deepest appreciation of scientific achievement, and who has the highest aspirations for the future." -- Enterprising Investor (CFA Institute)

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Page Count

271

Publisher

McGraw Hill Professional

Published Date

ISBN 10

007181793X

ISBN 13

9780071817936

Trauma, Seventh Edition

By: Kenneth L. Mattox,Ernest E. Moore,David V. Feliciano

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Trauma, Seventh Edition

By: Kenneth L. Mattox,Ernest E. Moore,David V. Feliciano

The field's definitive textTrauma, 7e delivers expert, high-yield guidance on all the standard treatments and modes of management of traumatic injuries.

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1246

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071663517

ISBN 13

9780071663519

A Primer of Permutation Statistical Methods

By: Kenneth J. Berry,Janis E. Johnston,Paul W. Mielke, Jr.

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A Primer of Permutation Statistical Methods

By: Kenneth J. Berry,Janis E. Johnston,Paul W. Mielke, Jr.

The primary purpose of this textbook is to introduce the reader to a wide variety of elementary permutation statistical methods. Permutation methods are optimal for small data sets and non-random samples, and are free of distributional assumptions. The book follows the conventional structure of most introductory books on statistical methods, and features chapters on central tendency and variability, one-sample tests, two-sample tests, matched-pairs tests, one-way fully-randomized analysis of variance, one-way randomized-blocks analysis of variance, simple regression and correlation, and the analysis of contingency tables. In addition, it introduces and describes a comparatively new permutation-based, chance-corrected measure of effect size. Because permutation tests and measures are distribution-free, do not assume normality, and do not rely on squared deviations among sample values, they are currently being applied in a wide variety of disciplines. This book presents permutation alternatives to existing classical statistics, and is intended as a textbook for undergraduate statistics courses or graduate courses in the natural, social, and physical sciences, while assuming only an elementary grasp of statistics.

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Page Count

488

Publisher

Springer

Published Date

ISBN 10

3030209334

ISBN 13

9783030209339

Williams Hematology, 10th Edition

By: Kenneth Kaushansky,Marshall A. Lichtman,Josef T. Prchal,Marcel M. Levi,Linda J. Burns

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Williams Hematology, 10th Edition

By: Kenneth Kaushansky,Marshall A. Lichtman,Josef T. Prchal,Marcel M. Levi,Linda J. Burns

The landmark text that has guided generations of hematologists and related practitioners―updated with the latest research findings and improved format and presentation Long revered for its comprehensiveness and extraordinary depth of detail, Williams Hematology provides essential coverage of the origins, pathophysiological mechanisms, and management of benign and malignant disorders of blood and marrow cells and coagulation proteins. The text contains a wealth of basic science and translational pathophysiology for optimal, lifelong learning. Experts in research and clinical hematology, the editors are known worldwide for their contributions to the field. This new edition contains everything that has made Williams Hematology the go-to resource for decades and has been updated with new chapters and critical new research into the molecular mechanisms responsible for hematological disorders and the impact on diagnosis and treatment. And the new format enables you to access each chapter via content modules covering key topics, with summaries, infographics, and cases―all linked to review questions for self-assessment. The full-color presentation integrates images of blood and tissue findings where they are cited in the text. NEW TO THIS EDITION: Updated and revised content reflecting the latest research and developments Convenient format that streamlines the learning process and improves retention Additional chapters added on: Immune Checkpoint Inhibitors Immune Cell Therapy: Chimeric Antigen Receptor T Cell Therapy Immune Cell Therapy Dendritic Cell and Natural Killer Cell Therapy The processes of cell death and survival Application of Big Data and Deep Learning in Hematology Williams Hematology Cases with multiple-choice questions including detailed explanations—perfect preparation for the boards Continuously updated online content with comprehensive drug therapy database and other resources

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2705

Publisher

McGraw Hill Professional

Published Date

ISBN 10

126046413X

ISBN 13

9781260464139

Williams Hematology, 9E

By: Kenneth Kaushansky,Marshall A. Lichtman,Josef Prchal,Marcel M. Levi,Oliver W. Press,Linda J. Burns,Michael Caligiuri

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Williams Hematology, 9E

By: Kenneth Kaushansky,Marshall A. Lichtman,Josef Prchal,Marcel M. Levi,Oliver W. Press,Linda J. Burns,Michael Caligiuri

Publisher's Note: Products purchased from Third Party sellers are not guaranteed by the publisher for quality, authenticity, or access to any online entitlements included with the product. The world's most highly regarded reference text on the mechanisms and clinical management of blood diseases A Doody's Core Title for 2020! Edition after edition, Williams Hematology has guided generations of clinicians, biomedical researchers, and trainees in many disciplines through the origins, pathophysiological mechanisms, and management of benign and malignant disorders of blood cells and coagulation proteins. It is acknowledged worldwide as the leading hematology resource, with editors who are internationally regarded for their research and clinical achievements and authors who are luminaries in their fields. The Ninth Edition of Williams Hematology is extensively revised to reflect the latest advancements in basic science, translational pathophysiology, and clinical practice. In addition to completely new chapters, it features a full-color presentation that includes 700 photographs, 300 of which are new to this edition, and 475 illustrations. Recognizing that blood and marrow cell morphology is at the heart of diagnostic hematology, informative color images of the relevant disease topics are conveniently integrated into each chapter, allowing easy access to illustrations of cell morphology important to diagnosis. Comprehensive in its depth and breath, this go-to textbook begins with the evaluation of the patient and progresses to the molecular and cellular underpinnings of normal and pathological hematology. Subsequent sections present disorders of the erythrocyte, granulocytes and monocytes, lymphocytes and plasma cells, malignant myeloid and lymphoid diseases, hemostasis and thrombosis, and transfusion medicine.

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2528

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McGraw Hill Professional

Published Date

ISBN 10

0071833013

ISBN 13

9780071833011

Book's by Kenneth R. Pearson

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

Applying Benford's Law for Assessing the Validity of Social Science Data

Applying Benford's Law for Assessing the Validity of Social Science Data

Cough: An Interdisciplinary Problem, An Issue of Otolaryngologic Clinics

Cough: An Interdisciplinary Problem, An Issue of Otolaryngologic Clinics

A Practical Guide to Data Structures and Algorithms using Java

A Practical Guide to Data Structures and Algorithms using Java

Evidence-Based Assessment in ASD (Autism Spectrum Disorder)

Evidence-Based Assessment in ASD (Autism Spectrum Disorder)

Risk-Return Analysis: The Theory and Practice of Rational Investing (Volume One)

Risk-Return Analysis: The Theory and Practice of Rational Investing (Volume One)

Trauma, Seventh Edition

Trauma, Seventh Edition

A Primer of Permutation Statistical Methods

A Primer of Permutation Statistical Methods

Williams Hematology, 10th Edition

Williams Hematology, 10th Edition

Williams Hematology, 9E

Williams Hematology, 9E

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