Derek J.S. Robinson's Books

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

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

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 in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies.

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Page Count

349

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110385600

ISBN 13

9783110385601

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

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

Groups, Languages and Automata

By: Derek F. Holt,Sarah Rees,Claas E. Röver

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Groups, Languages and Automata

By: Derek F. Holt,Sarah Rees,Claas E. Röver

Fascinating connections exist between group theory and automata theory, and a wide variety of them are discussed in this text. Automata can be used in group theory to encode complexity, to represent aspects of underlying geometry on a space on which a group acts, and to provide efficient algorithms for practical computation. There are also many applications in geometric group theory. The authors provide background material in each of these related areas, as well as exploring the connections along a number of strands that lead to the forefront of current research in geometric group theory. Examples studied in detail include hyperbolic groups, Euclidean groups, braid groups, Coxeter groups, Artin groups, and automata groups such as the Grigorchuk group. This book will be a convenient reference point for established mathematicians who need to understand background material for applications, and can serve as a textbook for research students in (geometric) group theory.

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Page Count

307

Publisher

Cambridge University Press

Published Date

ISBN 10

1108211046

ISBN 13

9781108211048

The Narrow Margin

By: Derek Dempster,Derek Wood

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The Narrow Margin

By: Derek Dempster,Derek Wood

The Battle of Britain saved the country from invasion. If the RAF had been defeated all the efforts of the British Army and the Royal Navy would hardly have averted defeat in the face of complete German air superiority. With all Europe subjugated, Germany and Japan would later have met on the borders of India. This remarkable book traces the varied fortunes of the Royal Air Force in the 1930s, and shows how it readied itself for the mighty German onslaught in the summer of 1940 and won a great victory by the narrowest margins. It provides a comphrensive account of the Battle of Britain, including the day-by-day summaries of the battle. It is illustrated with photographs and maps, an appendix of the aircraft used by the Royal Air Force and by the Luftwaffe with schematic drawings, also a list of all pilots who flew in the Battle of Britain from July 10 to October 31 1940. The authors are military aviation experts and The Narrow Margin has been published in translation in France and around the world. They also wrote A Summer for Heroes and Jane's World Aircraft Recognition Handbook.

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Page Count

369

Publisher

Pen and Sword

Published Date

ISBN 10

1848843143

ISBN 13

9781848843141

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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Page Count

456

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110691167

ISBN 13

9783110691160

Book's by Derek J.S. Robinson

The Theory of Infinite Soluble Groups

The Theory of Infinite Soluble Groups

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

Abstract Algebra

Abstract Algebra

A Course in Linear Algebra with Applications

A Course in Linear Algebra with Applications

Algebraic Models For Accounting Systems

Algebraic Models For Accounting Systems

Groups, Languages and Automata

Groups, Languages and Automata

The Narrow Margin

The Narrow Margin

Abstract Algebra

Abstract Algebra

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