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Group Theory forms an essential part of all mathematics degree courses and this book provides a straightforward and accessible introduction to the subject assuming that the student has no previous knowledge of group theory. Worked examples and new exercises with solutions are incorporated throughout the text to develop a sound understanding of the general principles underlying the theory and the text has been completely revised in this new edition. Now also includes topical material such as group action and increased emphasis on free groups. ... Read more

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Mathematics is increasingly applied in a variety of professions and activities, which include biology, business management, economics, engineering, medicine, psychology and sociology. The aim of this Handbook is to provide up-to-date and easily accessible information about the practical aspects of all mathematics and it is specifically addressed to users of mathematics who are not professional mathematicians. The work is comprehensive in that all mathematical topics which are actually being used or are considered valuable for future development are covered in the work. During its development, great lengths have been taken, to ensure that no branch of mathematics is omitted which is useful and conversely that none is included which is not. ... Read more

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To an algebraist the theory of group characters presents one of those fascinating situations, where the structure of an abstract system is elucidated by a unique set of numbers inherent in the system. But the subject also has a practical aspect, since group characters have gained importance in several branches of science, in which considerations of symmetry play a decisive part. This is an introductory text, suitable for final-year undergraduates or postgraduate students. The only prerequisites are a standard knowledge of linear algebra and a modest acquaintance with group theory. Especial care has been taken to explain how group characters are computed. The character tables of most of the familiar accessible groups are either constructed in the text or included amongst the exercise, all of which are supplied with solutions. The chapter on permutation groups contains a detailed account of the characters of the symmetric group based on the generating function of Frobenius and on the Schur functions. The exposition has been made self-sufficient by the inclusion of auxiliary material on skew-symmetric polynomials, determinants and symmetric functions. ... Read more

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The "Handbook of Applicable Mathematics" is not an encyclopedia. Nevertheless, it shares with an encyclopedia the characteristic that it cannot stand still. It must try to be as up-to-date as possible, to include recent applciations of mathematics in industry, engineering and applied science, and to include areas of mathematics which have recently found application. Thus, it must issue supplements in order to maintain its currency. This objective provides the main motivation for this supplementary volume to the set of Core Volumes of the Handbook. All the mathematics topics discussed in the supplement find application in some area of contemporary interest relevant to the concerns of readers of the Handbook. This supplent adheres to the standard policy of presenting the mathematics independently of its potential and actual applications, relying on a comprehensive cross-referencing system to provide the connections with important applications and with other parts of mathematics. ... Read more

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The main thrust is to provide up-to-date and easily accessible information about the practical aspects of all mathematics and is specifically addressed to users of mathematics who are not professional mathematicians. The work is comprehensive in that all mathematical topics, which are actually being used or are considered valuable for further developments, are covered. The editors and publishers have gone to great lengths to ensure that no branch of mathematics is omitted which is useful and, conversely, that none is included which is not. ... Read more

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Professor Walter Ledermann is one of the great algebraists of the twentieth century. His memoirs begin with life in pre-war Germany, the murder of several members of his family, and of the joy he found in mathematics and music. As the story of his remarkable life unfolds, we are entranced by tales of Scotland during the war and of academic life in Manchester and Sussex. His memoirs contain numerous entertaining, and often hilarious anecdotes of his encounters with famous mathematicians and physicists, such as Issai Schur, Heinz Hopf, Max Plank, Erwin Schroedinger, Edmund Whittaker, Alec Aitkin, Max Born and Alan Turing. ... Read more

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This Book Is In German. ... Read more