P.M. Cohn's Books

Universal Algebra

By: P.M. Cohn

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The present book was conceived as an introduction for the user of universal algebra, rather than a handbook for the specialist, but when the first edition appeared in 1965, there were practically no other books entir~ly devoted to the subject, whether introductory or specialized. Today the specialist in the field is well provided for, but there is still a demand for an introduction to the subject to suit the user, and this seemed to justify a reissue of the book. Naturally some changes have had to be made; in particular, I have corrected all errors that have been brought to my notice. Besides errors, some obscurities in the text have been removed and the references brought up to date. I should like to express my thanks to a number of correspondents for their help, in particular C. G. d'Ambly, W. Felscher, P. Goralcik, P. J. Higgins, H.-J. Hoehnke, J. R. Isbell, A. H. Kruse, E. J. Peake, D. Suter, J. S. Wilson. But lowe a special debt to G. M. Bergman, who has provided me with extensive comments. particularly on Chapter VII and the supplementary chapters. I have also con sulted reviews of the first edition, as well as the Italian and Russian translations.

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Page Count

429

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9400983999

ISBN 13

9789400983991

Algebraic Numbers and Algebraic Functions

By: P.M. Cohn

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Algebraic Numbers and Algebraic Functions

By: P.M. Cohn

This book is an introduction to the theory of algebraic numbers and algebraic functions of one variable. The basic development is the same for both using E Artin's legant approach, via valuations. Number Theory is pursued as far as the unit theorem and the finiteness of the class number. In function theory the aim is the Abel-Jacobi theorem describing the devisor class group, with occasional geometrical asides to help understanding. Assuming only an undergraduate course in algebra, plus a little acquaintance with topology and complex function theory, the book serves as an introduction to more technical works in algebraic number theory, function theory or algebraic geometry by an exposition of the central themes in the subject.

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204

Publisher

CRC Press

Published Date

ISBN 10

1351078038

ISBN 13

9781351078030

Elements of Linear Algebra

By: P.M. Cohn

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Elements of Linear Algebra

By: P.M. Cohn

This volume presents a thorough discussion of systems of linear equations and their solutions. Vectors and matrices are introduced as required and an account of determinants is given. Great emphasis has been placed on keeping the presentation as simple as possible, with many illustrative examples. While all mathematical assertions are proved, the student is led to view the mathematical content intuitively, as an aid to understanding.The text treats the coordinate geometry of lines, planes and quadrics, provides a natural application for linear algebra and at the same time furnished a geometrical interpretation to illustrate the algebraic concepts.

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Page Count

244

Publisher

Routledge

Published Date

ISBN 10

1351452835

ISBN 13

9781351452830

Linear Equations

By: P. M. Cohn

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Linear Equations

By: P. M. Cohn

LINEAR equations play an important part, not only in mathe matics itself, but also in many fields in which mathematics is used. Whether we deal with elastic deformations or electrical networks, the flutter of aeroplane wings or the estimation of errors by the method of least squares, at some stage in the cal culation we encounter a system of linear equations. In each case the problem of solving the equations is the same, and it is with the mathematical treatment of this question that this book is concerned. By meeting the problem in its pure state the reader will gain an insight which it is hoped will help him when he comes to apply it to his field of work. The actual pro cess of setting up the equations and of interpreting the solution is one which more properly belongs to that field, and in any case is a problem of a different nature altogether. So we need not concern ourselves with it here and are able to concentrate on the mathematical aspect of the situation. The most important tools for handling linear equations are vectors and matrices, and their basic properties are developed in separate chapters. The method by which the nature of the solution is described is one which leads immediately to a solu tion in practical cases, and it is a method frequently adopted when solving problems by mechanical or electronic computers.

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Springer Science & Business Media

Published Date

ISBN 10

1468414933

ISBN 13

9781468414936

Skew Field Constructions

By: P. M. Cohn

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Skew Field Constructions

By: P. M. Cohn

These notes describe methods of constructing skew fields, in particular the coproduct coconstruction discovered by the author, and trace out some of the consequences using the powerful coproduct theorems of G.M. Bergman, which are proved here."- publisher

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Page Count

276

Publisher

CUP Archive

Published Date

ISBN 10

0521214971

ISBN 13

9780521214971

The Molecular and Cellular Biology of Wound Repair

By: R.A.F. Clark,P.M. Henson

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The Molecular and Cellular Biology of Wound Repair

By: R.A.F. Clark,P.M. Henson

Editing a book of this nature was a simultaneously exhilarating and frightening experience. It was exhilarating to draw from cell biologists, biochemists, and molecular biologists, as well as those dermatologists, pathologists, and pul monologists who are cell biologists at heart, to author chapters. At the same time, it was frightening to ask such busy investigators to devote their precious time to writing chapters that summarize not just their own endeavors but their entire area of expertise. However, the authors assuaged our fears by enthusi astically accepting the proposal to write on specific topics despite the time burden, and to update and willingly accept our editorial comments. In the editors' view, the authors have captured the important scientific data in their respective fields, have organized the data into an understandable outline, and have applied the information to elucidating wound repair processes. The explosion of new, important discoveries in the field of wound repair and related areas as our book was developing has been very unsettling. This observation predicts obsolescence. In response to this possibility, the authors and the editors have attempted to build fundamental concepts upon existing data. Hopefully, these concepts will help provoke further experimentation to unravel the complex, interwoven processes of wound repair. The book has been organized into three parts: Inflammation, Granulation Tissue Formation, and Extracellular Matrix Production and Remodeling.

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601

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Springer Science & Business Media

Published Date

ISBN 10

1461517958

ISBN 13

9781461517955

Digital innovation in citizen science to enhance water quality monitoring in developing countries

By: Pattinson, N. B.,Taylor, J.,Dickens, Chris W. S.,Graham, P. M.

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Digital innovation in citizen science to enhance water quality monitoring in developing countries

By: Pattinson, N. B.,Taylor, J.,Dickens, Chris W. S.,Graham, P. M.

Freshwater systems are disproportionately adversely affected by the ongoing, global environmental crisis. The effective and efficient water resource conservation and management necessary to mitigate the crisis requires monitoring data, especially on water quality. This is recognized by Sustainable Development Goal (SDG) 6, particularly indicator 6.3.2., which requires all UN member states to measure and report the ‘proportion of water bodies with good ambient water quality’. However, gathering sufficient data on water quality is reliant on data collection at spatial and temporal scales that are generally outside the capacity of institutions using conventional methods. Digital technologies, such as wireless sensor networks and remote sensing, have come to the fore as promising avenues to increase the scope of data collection and reporting. Citizen science (which goes by many names, e.g., participatory science or community-based monitoring) has also been earmarked as a powerful mechanism to improve monitoring. However, both avenues have drawbacks and limitations. The synergy between the strengths of modern technologies and citizen science presents an opportunity to use the best features of each to mitigate the shortcomings of the other. This paper briefly synthesizes recent research illustrating how smartphones, sometimes in conjunction with other sensors, present a nexus point method for citizen scientists to engage with and use sophisticated modern technology for water quality monitoring. This paper also presents a brief, non-exhaustive research synthesis of some examples of current technological upgrades or innovations regarding smartphones in citizen science water quality monitoring in developing countries and how these can assist in objective, comprehensive, and improved data collection, management and reporting. While digital innovations are being rapidly developed worldwide, there remains a paucity of scientific and socioeconomic validation of their suitability and usefulness within citizen science. This perhaps contributes to the fact that the uptake and upscaling of smartphone-assisted citizen science continues to underperform compared to its potential within water resource management and SDG reporting. Ultimately, we recommend that more rigorous scientific research efforts be dedicated to exploring the suitability of digital innovations in citizen science in the context of developing countries and SDG reporting.

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IWMI

Published Date

ISBN 10

9290909617

ISBN 13

9789290909613

Free Ideal Rings and Localization in General Rings

By: P. M. Cohn

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Free Ideal Rings and Localization in General Rings

By: P. M. Cohn

Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. Particular emphasis is placed on rings with a weak algorithm, exemplified by free associative algebras. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention. Each section has a number of exercises, including some open problems, and each chapter ends in a historical note.

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Cambridge University Press

Published Date

ISBN 10

1139454994

ISBN 13

9781139454995

Basic Algebra

Groups, Rings and Fields

By: P.M. Cohn

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Basic Algebra

Groups, Rings and Fields

By: P.M. Cohn

This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled.

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470

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0857294288

ISBN 13

9780857294289

The Redesign of the Global Financial Architecture

State Authority, New Risks and Dynamics

By: Stuart P. M. Mackintosh

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The Redesign of the Global Financial Architecture

State Authority, New Risks and Dynamics

By: Stuart P. M. Mackintosh

More than ten years on from the most intense phase of the global financial crisis, and the collective international response in the G20 summit in London, a ‘new normal’ has emerged with systems in place to mitigate against further banking crises. This updated new edition analyzes this post-crisis international and national regulatory framework and asks whether the current paradigm is fit for purpose as new dangers gestate and develop. This new edition includes a discussion of the impact of the aggressively deregulatory and anti-globalist policies of the Trump administration and its pursuit of an ‘America First’ policy and explores its implications for the regulatory landscape constructed and tended by previous leaders. The author addresses new and future systemic risks, many outside the regulated banking sector, which have grown in importance since 2015. He develops possible future scenarios for the international regulatory architecture, both negative and positive, asking, ‘Are we better prepared for future banking crises?’ New risks, including the COVID-19 pandemic and economic crash, are testing the global system; and the G20, without US leadership, may be failing in this latest most severe crisis of our lifetimes. This book provides a unique narrative explanation drawn from leading actors of key events and policy changes as they unfolded immediately post-crisis. The author builds upon the first edition to capture key developments that have occurred during the past five years, while raising key questions and vulnerabilities, and looking at future risks and challenges that may emerge. This text will be of great interest to students, teachers and researchers of financial frameworks, globalisation and political economy.

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181

Publisher

Routledge

Published Date

ISBN 10

1000200019

ISBN 13

9781000200010

America's New Map

Restoring Our Global Leadership in an Era of Climate Change and Demographic Collapse

By: Thomas P.M. Barnett

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America's New Map

Restoring Our Global Leadership in an Era of Climate Change and Demographic Collapse

By: Thomas P.M. Barnett

Three tectonic and inevitable shifts have left the world at a crossroads. North America is poised to either re-emerge as a global leader, or turn back in time, ceding power and influence to competitors. The 21st century unleashed unprecedented changes across the globe—to its climate, to the demographic makeup of its nations, and to the very nature of allegiance in the digital age. With its global influence waning, America must reevaluate its approach to globalization if it wishes to remain a leader. In America’s New Map: Restoring Global Leadership in an Era of Climate Change and Demographic Collapse, Thomas P.M. Barnett, bestselling author of The Pentagon’s New Map: War and Peace in the Twenty-First Century and acclaimed geo-strategist, offers seven throughlines to frame and redefine the ambitions and posture of these United States, setting our Union on a bold-but-entirely-familiar national trajectory. In these pages, Barnett offers a deep, yet accessible dive into the three shifts that have lead us to this point: As climate change ravages countries closest to the equator, global dynamics are shifting from an East-West emphasis to North-South in the greatest geopolitical transformation our world has yet experienced—and the Western Hemisphere is far better positioned to exploit this radical reorientation than the East. Aging demographics worldwide favor more slowly aging nations, including the US, while challenging rapidly aging nations like China, incentivizing countries best to delay that transition by integrating younger, faster-growing populations into their ranks. In combination, these two tectonic forces collide with a third: the exploding consumption of an expanding—and now majority—global middle class, the bulk of whom reside along the increasingly unstable North-South frontier. Taking every variable of these unique circumstances into account, America’s New Map charts a path toward a bigger and better United States. We will all be living in somebody’s world come mid-century—this book tells Americans how to make sure it is one we can recognize as our own.

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Page Count

401

Publisher

BenBella Books

Published Date

ISBN 10

1637744293

ISBN 13

9781637744291

Bilirubin

Volume II: Metabolism

By: Karel P. M. Heirwegh

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Bilirubin

Volume II: Metabolism

By: Karel P. M. Heirwegh

The book appears in two volumes, the first dealing primarily with chemical and structural aspects, and the second with metabolic aspects. The purpose is not only to review recent work on chemical and physiological aspects of bilirubin scructure and metabolism, but also to emphasize the importance of methodological advances and their potential in future studies.

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Page Count

358

Publisher

CRC Press

Published Date

ISBN 10

1351087010

ISBN 13

9781351087018

Counsel in the Caucasus: Professionalization and Law in Georgia

By: Christopher P. M. Waters

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Counsel in the Caucasus: Professionalization and Law in Georgia

By: Christopher P. M. Waters

This book traces the development of the rule of law in Georgia since its independence and speculates on its future direction. It does so by focusing on changes in the legal profession after 1991. Intriguingly, the book, which is based on extensive field-work, concludes that culture and informal regulation are key to understanding how Georgian lawyers are governed, or rather govern themselves. Indeed, for several years after independence from the Soviet Union there was no functioning law on attorneys; informal regulation, based on the importance of reputation and networks, was the only sort of regulation. Other topics addressed in the book include Georgia's legal history, its current human rights situation, theories of professionalization, and the link between law and development. The book also compares the Georgian experience to that country's South Caucasian neighbors - Armenia and Azerbaijan - thus rounding the book out as a regional study.

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Page Count

198

Publisher

Springer

Published Date

ISBN 10

9401756201

ISBN 13

9789401756204

Nutrition in Women's Health

By: Debra A. Krummel,P. M. Kris-Etherton

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Nutrition in Women's Health

By: Debra A. Krummel,P. M. Kris-Etherton

Health Sciences & Nutrition

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Page Count

614

Publisher

Jones & Bartlett Learning

Published Date

ISBN 10

083420682X

ISBN 13

9780834206823

Practical Social Network Analysis with Python

By: Krishna Raj P.M.,Ankith Mohan,K.G. Srinivasa

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Practical Social Network Analysis with Python

By: Krishna Raj P.M.,Ankith Mohan,K.G. Srinivasa

This book focuses on social network analysis from a computational perspective, introducing readers to the fundamental aspects of network theory by discussing the various metrics used to measure the social network. It covers different forms of graphs and their analysis using techniques like filtering, clustering and rule mining, as well as important theories like small world phenomenon. It also presents methods for identifying influential nodes in the network and information dissemination models. Further, it uses examples to explain the tools for visualising large-scale networks, and explores emerging topics like big data and deep learning in the context of social network analysis. With the Internet becoming part of our everyday lives, social networking tools are used as the primary means of communication. And as the volume and speed of such data is increasing rapidly, there is a need to apply computational techniques to interpret and understand it. Moreover, relationships in molecular structures, co-authors in scientific journals, and developers in a software community can also be understood better by visualising them as networks. This book brings together the theory and practice of social network analysis and includes mathematical concepts, computational techniques and examples from the real world to offer readers an overview of this domain.

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Page Count

355

Publisher

Springer

Published Date

ISBN 10

3319967460

ISBN 13

9783319967462

Nucleic Acid Blotting

By: D C Darling,P M Bricknell

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Nucleic Acid Blotting

By: D C Darling,P M Bricknell

Discusses very widely-used techniques. Aimed specifically at the newcomer. Provides detailed explanations unavailable elsewhere. Points out pitfalls and provides solutions. Invaluable help for experienced laboratories training newcomers.

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Page Count

124

Publisher

Garland Science

Published Date

ISBN 10

1000142779

ISBN 13

9781000142778

Basic Algebra

Groups, Rings and Fields

By: P.M. Cohn

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Basic Algebra

Groups, Rings and Fields

By: P.M. Cohn

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Page Count

470

Publisher

Springer Science & Business Media

Published Date

ISBN 10

0857294288

ISBN 13

9780857294289

Elements of Linear Algebra

By: P.M. Cohn

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Elements of Linear Algebra

By: P.M. Cohn

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Page Count

241

Publisher

Routledge

Published Date

ISBN 10

1351452843

ISBN 13

9781351452847

Free Ideal Rings and Localization in General Rings

By: P. M. Cohn

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Free Ideal Rings and Localization in General Rings

By: P. M. Cohn

Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a generalization, the weak algorithm, which can be used to prove that all one-sided ideals are free. This book presents the theory of free ideal rings (firs) in detail. There is also a full account of localization which is treated for general rings but the features arising in firs are given special attention.

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