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"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
Praise for the Third Edition ". . . an expository masterpiece of the highest didactic value that has gained additional attractivity through the various improvements . . ."—Zentralblatt MATH The Fourth Edition of Introduction to Abstract Algebra continues to provide an accessible approach to the basic structures of abstract algebra: groups, rings, and fields. The book's unique presentation helps readers advance to abstract theory by presenting concrete examples of induction, number theory, integers modulo n, and permutations before the abstract structures are defined. Readers can immediately begin to perform computations using abstract concepts that are developed in greater detail later in ...
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.
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.
"This book is a compendium of definitions and explanations of concepts and processes within u-commerce"--Provided by publisher.
Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutati
This book constitutes the thoroughly refereed proceedings of the 10th International Conference on Visual Information Systems, VISUAL 2008, held in Salerno, Italy, September 11-12, 2008. The 35 papers presented in this volume, together with 3 keynote speeches, were carefully reviewed and selected from 58 submissions. The topics covered are information and data visualization; advances techniques for visual information management; mobile visual information systems; image and video indexing and retrieval; applications of visual information systems; and industrial experiences.
The culture of the modern world involves a sizeable and continuous use of energy. The story of energy as a part of modernity begins in the early 19th Century with hard work, experiments and the establishment of local energy systems. The natural conditions made certain by the alternation between light and dark, between warmth and cold, was gradually suspended by the introduction of electric lighting and heating into the home. The welfare state has significantly hastened this development to the degree that notions such as wellness and individual well-being have become natural elements of our consumer culture and our daily life. In most parts of the world we have light whenever we desire it, an...
This book constitutes the refereed joint proceedings of seven international workshops held in conjunction with the 27th International Conference on Conceptual Modeling, ER 2008, in Barcelona, Spain, in October 2008. The 42 revised full papers presented were carefully reviewed and selected from 108 submissions. Topics addressed by the workshops are conceptual modeling for life sciences applications (CMLSA 2008), evolution and change in data management (ECDM 2008), foundations and practices of UML (FP-UML 2008), modeling mobile applications and services (M2AS 2008), requirements, intentions and goals in conceptual modeling (RIGiM 2008), semantic and conceptual issues in geographic information systems (SeCoGIS 2008), and Web information systems modeling (WISM 2008).