Derek J S Robinson's Books

Abstract Algebra

An Introduction with Applications

By: Derek J.S. Robinson

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Abstract Algebra

An Introduction with Applications

By: Derek J.S. Robinson

This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and the information and physical sciences. In addition to introducing the main concepts of modern algebra – groups, rings, modules and fields – the book contains numerous applications, which are intended to illustrate the concepts and to show the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems, error correcting codes and economics are described. There is ample material here for a two semester course in abstract algebra. Proofs of almost all results are given. The reader led through the proofs in gentle stages. There are more than 500 problems, of varying degrees of diffi culty. The book should be suitable for advanced undergraduate students in their fi nal year of study and for fi rst or second year graduate students at a university in Europe or North America. In this third edition three new chapters have been added: an introduction to the representation theory of fi nite groups, free groups and presentations of groups, an introduction to category theory.

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506

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110691213

ISBN 13

9783110691214

The Theory of Infinite Soluble Groups

By: John C. Lennox,Derek J. S. Robinson

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The Theory of Infinite Soluble Groups

By: John C. Lennox,Derek J. S. Robinson

The central concept in this monograph is that of a soluble group - a group which is built up from abelian groups by repeatedly forming group extensions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic problems, applications of cohomology, and finitely presented groups, whilst remaining fairly strictly within the boundaries of soluble group theory. An up-to-date survey of the area aimed at research students and academic algebraists and group theorists, it is a compendium of information that will be especially useful as a reference work for researchers in the field.

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Page Count

360

Publisher

Clarendon Press

Published Date

ISBN 10

0191523151

ISBN 13

9780191523151

Algebraic Models For Accounting Systems

By: Robert A Nehmer,Jose Garcia Perez,Derek J S Robinson,Salvador Cruz Rambaud

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Algebraic Models For Accounting Systems

By: Robert A Nehmer,Jose Garcia Perez,Derek J S Robinson,Salvador Cruz Rambaud

This book describes the construction of algebraic models which represent the operations of the double entry accounting system. It gives a novel, comprehensive, proof based treatment of the topic, using such concepts from abstract algebra as automata, digraphs, monoids and quotient structures.

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Page Count

255

Publisher

World Scientific

Published Date

ISBN 10

9814466840

ISBN 13

9789814466844

A Course in the Theory of Groups

By: Derek J.S. Robinson

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A Course in the Theory of Groups

By: Derek J.S. Robinson

An excellent up-to-date introduction to the theory of groups. It is general yet comprehensive, covering various branches of group theory. The 15 chapters contain the following main topics: free groups and presentations, free products, decompositions, Abelian groups, finite permutation groups, representations of groups, finite and infinite soluble groups, group extensions, generalizations of nilpotent and soluble groups, finiteness properties." —-ACTA SCIENTIARUM MATHEMATICARUM

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Page Count

518

Publisher

Springer Science & Business Media

Published Date

ISBN 10

1441985948

ISBN 13

9781441985941

Finiteness Conditions and Generalized Soluble Groups

Part 1

By: Derek J.S. Robinson

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Finiteness Conditions and Generalized Soluble Groups

Part 1

By: Derek J.S. Robinson

This book is a study of group theoretical properties of two dis parate kinds, firstly finiteness conditions or generalizations of fini teness and secondly generalizations of solubility or nilpotence. It will be particularly interesting to discuss groups which possess properties of both types. The origins of the subject may be traced back to the nineteen twenties and thirties and are associated with the names of R. Baer, S. N. Cernikov, K. A. Hirsch, A. G. Kuros, 0.]. Schmidt and H. Wie landt. Since this early period, the body of theory has expanded at an increasingly rapid rate through the efforts of many group theorists, particularly in Germany, Great Britain and the Soviet Union. Some of the highest points attained can, perhaps, be found in the work of P. Hall and A. I. Mal'cev on infinite soluble groups. Kuras's well-known book "The theory of groups" has exercised a strong influence on the development of the theory of infinite groups: this is particularly true of the second edition in its English translation of 1955. To cope with the enormous increase in knowledge since that date, a third volume, containing a survey of the contents of a very large number of papers but without proofs, was added to the book in 1967.

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Page Count

226

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3662072416

ISBN 13

9783662072417

A Course in Linear Algebra with Applications

By: Derek J S Robinson

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A Course in Linear Algebra with Applications

By: Derek J S Robinson

This is the second edition of the best-selling introduction to linear algebra. Presupposing no knowledge beyond calculus, it provides a thorough treatment of all the basic concepts, such as vector space, linear transformation and inner product. The concept of a quotient space is introduced and related to solutions of linear system of equations, and a simplified treatment of Jordan normal form is given. Numerous applications of linear algebra are described, including systems of linear recurrence relations, systems of linear differential equations, Markov processes, and the Method of Least Squares. An entirely new chapter on linear programing introduces the reader to the simplex algorithm with emphasis on understanding the theory behind it. The book is addressed to students who wish to learn linear algebra, as well as to professionals who need to use the methods of the subject in their own fields.

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Page Count

372

Publisher

World Scientific

Published Date

ISBN 10

9814365440

ISBN 13

9789814365444

What Makes a Good Nurse

Why the Virtues Are Important for Nurses

By: Derek Sellman,Alan Cribb

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What Makes a Good Nurse

Why the Virtues Are Important for Nurses

By: Derek Sellman,Alan Cribb

Derek Sellman sets the case for re-establishing the primacy of the virtues that underpin the practice of nursing in order to address the question: what makes a good nurse? He provides those in the caring professions with an explanation of why and how nurses should strive to cultivate these virtues, as well as the implications of this for practice.

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Page Count

226

Publisher

Jessica Kingsley Publishers

Published Date

ISBN 10

1843109328

ISBN 13

9781843109327

A Theory of Global Biodiversity

By: Boris Worm,Derek P. Tittensor

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A Theory of Global Biodiversity

By: Boris Worm,Derek P. Tittensor

The number of species found at a given point on the planet varies by orders of magnitude, yet large-scale gradients in biodiversity appear to follow some very general patterns. Little mechanistic theory has been formulated to explain the emergence of observed gradients of biodiversity both on land and in the oceans. Based on a comprehensive empirical synthesis of global patterns of species diversity and their drivers, A Theory of Global Biodiversity develops and applies a new theory that can predict such patterns from few underlying processes. The authors show that global patterns of biodiversity fall into four consistent categories, according to where species live: on land or in coastal, pelagic, and deep ocean habitats. The fact that most species groups, from bacteria to whales, appear to follow similar biogeographic patterns of richness within these habitats points toward some underlying structuring principles. Based on empirical analyses of environmental correlates across these habitats, the authors combine aspects of neutral, metabolic, and niche theory into one unifying framework. Applying it to model terrestrial and marine realms, the authors demonstrate that a relatively simple theory that incorporates temperature and community size as driving variables is able to explain divergent patterns of species richness at a global scale. Integrating ecological and evolutionary perspectives, A Theory of Global Biodiversity yields surprising insights into the fundamental mechanisms that shape the distribution of life on our planet.

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Page Count

229

Publisher

Princeton University Press

Published Date

ISBN 10

069115483X

ISBN 13

9780691154831

Diffusion MRI

By: Derek K Jones

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Diffusion MRI

By: Derek K Jones

Professor Derek Jones, a world authority on diffusion MRI, has assembled most of the world's leading scientists and clinicians developing and applying diffusion MRI to produce an authorship list that reads like a "Who's Who" of the field and an essential resource for those working with diffusion MRI. Destined to be a modern classic, this definitive and richly illustrated work covers all aspects of diffusion MRI from basic theory to clinical application. Oxford Clinical Neuroscience is a comprehensive, cross-searchable collection of resources offering quick and easy access to eleven of Oxford University Press's prestigious neuroscience texts. Joining Oxford Medicine Online these resources offer students, specialists and clinical researchers the best quality content in an easy-to-access format.

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784

Publisher

Oxford University Press

Published Date

ISBN 10

0199708703

ISBN 13

9780199708703

Half a Century of Free Radical Chemistry

By: Derek H. R. Barton,Sir Derek Barton,Shyamal I. Parekh

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Half a Century of Free Radical Chemistry

By: Derek H. R. Barton,Sir Derek Barton,Shyamal I. Parekh

This book describes the experience over 25 years of the senior author with the chemistry of organic free radicals. It begins with a mechanistic study of industrial importance on the pyrolysis of chlorinated alkanes. It continues with a theory on the biosynthesis of phenolate derived alkaloids involving phenolate radical coupling. There follows 20 years of practical work to prove the theory correct, especially in the case of morphine alkaloids. The book then describes the work on nitrile photolysis (Barton reaction) which involved the invention of new radical chemistry leading to a simple synthesis of the important hormone, aldosterone. There follows a description of the invention of an important new method for the deoxygenation of biologically important molecules, especially sugars and nucleosides, using radical chemistry applied to thiocarbonyl derivatives. Some years later, in a logical extension to carboxylic acids, another new reaction was invented which provides carbon, nitrogen, oxygen and other radicals under mild conditions. A final chapter summarizes recent applications of thiocarbonyl group derived radical reactions by other authors.

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Page Count

180

Publisher

Cambridge University Press

Published Date

ISBN 10

0521445809

ISBN 13

9780521445801

First in the Field

Baseball Hero Jackie Robinson

By: Derek T. Dingle

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First in the Field

Baseball Hero Jackie Robinson

By: Derek T. Dingle

A biography which discusses the discrimination faced by Jackie Robinson, the baseball legend who became the first African American to play Major League baseball for the Brooklyn Dodgers.

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0439050677

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9780439050678

Book's by Derek J S Robinson

Abstract Algebra

Abstract Algebra

The Theory of Infinite Soluble Groups

The Theory of Infinite Soluble Groups

Algebraic Models For Accounting Systems

Algebraic Models For Accounting Systems

A Course in the Theory of Groups

A Course in the Theory of Groups

Finiteness Conditions and Generalized Soluble Groups

Finiteness Conditions and Generalized Soluble Groups

A Course in Linear Algebra with Applications

A Course in Linear Algebra with Applications

What Makes a Good Nurse

What Makes a Good Nurse

A Theory of Global Biodiversity

A Theory of Global Biodiversity

Diffusion MRI

Diffusion MRI

Half a Century of Free Radical Chemistry

Half a Century of Free Radical Chemistry

First in the Field

First in the Field

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