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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Page Count

191

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441985522

ISBN 13

9781441985521

Hope When the World Shut Down

By: Bonnie R. Pearson,Vicki Gollihue

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Hope When the World Shut Down

By: Bonnie R. Pearson,Vicki Gollihue

Like a cool drink on a summer day, “Hope When the World Shut Down” offers an oasis of hope from a world that often leaves us parched and exhausted. A compilation of short stories from believers in all walks of life, these snapshots, written during the heart of the COVID-19 pandemic, will leave you laughing and crying as you read how ordinary people held onto God’s promises. You’ll be sure to identify with these easy-to-read stories by doctors, educators, students, ministers, homemakers and grandparents, packed with uplifting Scripture. Whether reading it as a daily devotional or all in one sitting, you will come away refreshed, feeling like you just spent an evening with an old friend.

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Page Count

175

Publisher

WestBow Press

Published Date

ISBN 10

1664208380

ISBN 13

9781664208384

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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Page Count

233

Publisher

Springer Nature

Published Date

ISBN 10

3031056981

ISBN 13

9783031056987

Portuguese Agriculture in Transition

By: Scott R. Pearson

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Portuguese Agriculture in Transition

By: Scott R. Pearson

Portuguese Agriculture in Transition represents the synthesis of a six-year study undertaken by nine social scientists from the University of Arizona, Stanford University, Göttingen University, and the University of Lisbon, aimed at improving the efficiency and productivity of Portuguese agriculture. The fourteen essays seek to explain the constraints that affect the making of agricultural policy in Portugal, the sources of comparative advantage within the agricultural sector, and the technical innovations that have recently begun to change farming in the northwest of the country.

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Page Count

287

Publisher

Cornell University Press

Published Date

ISBN 10

1501746154

ISBN 13

9781501746154

The Old Rules of Marketing are Dead: 6 New Rules to Reinvent Your Brand and Reignite Your Business

By: Timothy R. Pearson

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The Old Rules of Marketing are Dead: 6 New Rules to Reinvent Your Brand and Reignite Your Business

By: Timothy R. Pearson

6 strategic principles for reinventing your products, your services—and your company's future The digital age has completely transformed business—and marketing has not kept up. From research frameworks and traditional concept development to planning to budgeting to distribution channels and media placement, marketing has not advanced—which may be why Chief Marketing Officers often don't get a seat at the table. In order to have a future, marketing must play a direct role in driving profitable sales and increasing revenues. The Old Rules of Marketing Are Dead offers the new rules for reinventing your brand, including: Defining the product's essence Creating metrics to ensure accountability Developing a core message Disseminating the brand Marketing needs to lead, not follow. The Old Rules of Marketing are Dead shows how to reinvent marketing and position it as a strategic business partner for any organization. Table of Contents Rule 1: The Core is Everything; Rule 2: You Have Nothing Without the Foundation; Rule 3: There are Many Choices But Only One Customer; Rule 4: Do the Right Things for the Right Reasons; Rule 5: Infrastructure is More Than Just Pipes; Rule 6: Lead and Others Will Follow

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Page Count

257

Publisher

McGraw Hill Professional

Published Date

ISBN 10

0071762566

ISBN 13

9780071762564

Small Farm Agriculture in Southern Europe

Cap Reform and Structural Change

By: Eric A. Monke,Francisco Avillez

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Small Farm Agriculture in Southern Europe

Cap Reform and Structural Change

By: Eric A. Monke,Francisco Avillez

First published in 1998, this volume features specialists in agricultural economics who have provided case studies on small farms in northern and central Portugal and southern and central Italy. The collaboration is a result of an early 1990s research project on small farm agriculture in Portugal and Italy and the likely impacts of the Common Agricultural Policy. It recognises that small farms have become an unexpected yet durable aspect of the agricultural landscape since World War II. As small farms represent 95% of the number of farms in Portugal and Italy, the contributors provide some much needed analysis of an often overlooked aspect of the agricultural sector.

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Page Count

148

Publisher

Routledge Revivals

Published Date

ISBN 10

1138340448

ISBN 13

9781138340442

Victorian Writers and the Stage

The Plays of Dickens, Browning, Collins and Tennyson

By: R. Pearson

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Victorian Writers and the Stage

The Plays of Dickens, Browning, Collins and Tennyson

By: R. Pearson

This book examines the dramatic work of Dickens, Browning, Collins, and Tennyson, their interaction with the theatrical world, and their attempts to develop their reputations as playwrights. These major Victorian writers each authored several professional plays, but why has their achievement been overlooked?

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Page Count

249

Publisher

Palgrave Macmillan

Published Date

ISBN 10

1349700339

ISBN 13

9781349700332

Accounting & Auditing Research

Tools & Strategies

By: Thomas R. Weirich,Thomas C. Pearson,Natalie Tatiana Churyk

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Accounting & Auditing Research

Tools & Strategies

By: Thomas R. Weirich,Thomas C. Pearson,Natalie Tatiana Churyk

Accountants finally have a book that focuses on research completed in the field. This resource shows them the basics of performing research in advanced financial, tax, auditing, and fraud. They’ll gain a better understanding of the basics of research tools so they’ll be able to select the right one. Information is presented on IFRS and the Codification, including step-by-step details and screenshots. With this information, accountants will have the tools to succeed in the field.

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Page Count

240

Publisher

Wiley

Published Date

ISBN 10

0470506970

ISBN 13

9780470506974

Special Event Postmarks of the United Kingdom Volume 2

By: George R. Pearson

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Special Event Postmarks of the United Kingdom Volume 2

By: George R. Pearson

A catalogue of postmarks used on mail posted at congresses, exhibitions, shows etc, and for anniversaries from 1963-1983.

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213

Publisher

BRITISH POSTMARK SOCIETY

Published Date

ISBN 10

0900214031

ISBN 13

9780900214035

Mastering Fiber Optic Connector Installation

A Guide to Low Loss, Low Cost, and High Reliability

By: Eric R. Pearson

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Mastering Fiber Optic Connector Installation

A Guide to Low Loss, Low Cost, and High Reliability

By: Eric R. Pearson

AUTHOR'S PREFACE Installing fiber optic connectors is not difficult: when my two sons were 10 and 13, I trained them to install connectors. They achieved the three goals of installation: low power loss, low installation cost, and high reliability. They did so, even though they had their CD players plugged into their ears! (Now I've dated myself!) This text guides you to achieve these three goals. This is no idle boast: in training installers, I have observed the results and refined these procedures to include only those instructions that work for almost all trainees. The procedures in this manual reflect refinement from 21 years of training, more than 500 presentations, and more than 7900 trainees. With very few exceptions, all trainees have achieved these three goals! So will you. This text guides you through successively increased understanding and knowledge, from basic to subtle. Chapter 1 provides the basic understanding of connectors in the network. Chapter 2 provides a detailed understanding of the language of fiber connectors: their functions, structure, performance, types, similarities, advantages, and installation methods. With this understanding, you can understand Chapter 3. Chapter 3 presents the principles of installation for four commonly used methods. This understanding of the principles underlying the procedures has three benefits. First, you know the consequences of failure to follow the instructions. Second, you are more likely to follow the instructions than you would be without this understanding. Third, you perform troubleshooting with an extensive understanding of the potential causes of high loss and low reliability. Chapter 4 presents instructions for inspecting connectors that require polishing. These instructions show you how to inspect, rate, and diagnose causes of high loss. With this chapter, you can easily identify causes of high loss and appropriate corrective actions. Chapters 5-8 present detailed instructions for four commonly used methods. Each set of instructions guides you to achieve the three goals. These instructions include 'do not do's' and cautions. These 'do not do's' and cautions help you avoid the commonly-made errors I've observed during training of more than 7000 installers. With minor modifications, these chapters can be used to install or train with any connector available. In addition, each chapter contains two useful sections: a troubleshooting section and a one-page summary. The troubleshooting section helps you recognize the symptom of an error and identify the step(s) at which the error occurred. This section speeds up achieving the three goals. During field installations, you can use a copy of the one page summary as a guide and reminder. Chapter 5 presents installation and polishing of multimode connectors. In addition, it contains polishing instructions for singlemode epoxy and quick cure adhesive connectors to achieve -50 dB reflectance. Chapter 6 presents installation and polishing of multimode connectors with quick cure adhesive. Chapter 7 presents installation and polishing of multimode connectors with hot melt adhesive. Chapter 8 presents installation of both multimode and singlemode connectors with the no-polish, no adhesive method, also known as the 'cleave and crimp' method. This manual contains review questions for Chapters 2-8 to assist you and the trainer in assessing and reinforcing understanding. When used prior to hands on training, these questions can lead to excellent results, both in training and in field installation. This manual is one of a series on Mastering Fiber Optics. Published manuals are: Professional Fiber Optic Installation-Essentials For Success Mastering The OTDR-Trace Acquisition And Interpretation Best Regards, Eric R. Pearson, CFOS/T/C/S/I

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Page Count

136

Publisher

CreateSpace

Published Date

ISBN 10

1466470690

ISBN 13

9781466470699

The Target for Higher Level Skills in an International Context

By: Nick Jagger,S. Morris,R. Pearson

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The Target for Higher Level Skills in an International Context

By: Nick Jagger,S. Morris,R. Pearson

A study placed the numbers of workers who have attained National Vocational Qualifications (NVQs) at level 4 or above in the United Kingdom (UK) in an international context by comparing this attainment with the numbers of workers reaching similar attainment in a sample of other countries: Australia, France, Germany, Korea, Japan, Taiwan, and the United States. The study, based on available literature and data, found that 23.4 percent of workers in the UK had attained NVQ level 4 or above in Spring 1995, whereas the other countries' workers who had reached that skill level ranged from 18.1 percent in Australia to 30 percent in the United States. The study also showed that the UK has shown recent improvement in its attainment rate and is likely to reach 30 percent in the early years of the 21st century (a few years past its goal of reaching that level by the year 2000). In addition, the UK and France have the highest graduation rates at NVQ level 4 and above, just ahead of the United States. Significant growth in professional, technical, administrative and managerial occupations, all of which require higher skill levels, is expected in the five countries for which forecasts are available, along with a significant decrease in the number of 20- to 24-year-olds. For the UK to meet its target, there will have to be further improvements in the profile of the existing work force and in the supply of those qualifying in the education and training system and entering employment. (An appendix provides further information about modeling future attainment rates at NVQ level 4 and above of those in employment. Contains 170 references.) (KC)

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ISBN 10

1851842330

ISBN 13

9781851842339

Book's by R. Pearson

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

Hope When the World Shut Down

Hope When the World Shut Down

Abstract Algebra and Famous Impossibilities

Abstract Algebra and Famous Impossibilities

Portuguese Agriculture in Transition

Portuguese Agriculture in Transition

The Old Rules of Marketing are Dead: 6 New Rules to Reinvent Your Brand and Reignite Your Business

The Old Rules of Marketing are Dead: 6 New Rules to Reinvent Your Brand and Reignite Your Business

Small Farm Agriculture in Southern Europe

Small Farm Agriculture in Southern Europe

Victorian Writers and the Stage

Victorian Writers and the Stage

Accounting & Auditing Research

Accounting & Auditing Research

Special Event Postmarks of the United Kingdom Volume 2

Special Event Postmarks of the United Kingdom Volume 2

Mastering Fiber Optic Connector Installation

Mastering Fiber Optic Connector Installation

The Target for Higher Level Skills in an International Context

The Target for Higher Level Skills in an International Context

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