Sinopsis
Handbook of Algebra defines algebra as consisting of many different ideas, concepts and results. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. Each chapter of the book combines some of the features of both a graduate-level textbook and a research-level survey. This book is divided into eight sections. Section 1A focuses on linear algebra and discusses such concepts as matrix functions and equations and random matrices. Section 1B cover linear dependence and discusses matroids. Section 1D focuses on fields, Galois Theory, and algebraic number theory. Section 1F tackles generalizations of fields and related objects. Section 2A focuses on category theory, including the topos theory and categorical structures. Section 2B discusses homological algebra, cohomology, and cohomological methods in algebra. Section 3A focuses on commutative rings and algebras. Finally, Section 3B focuses on associative rings and algebras. This book will be of interest to mathematicians, logicians, and computer scientists.
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Críticas
.."...This is obviously the kind of book one consults when detailed information about a specific topic is wanted and it will be splendid to have it all brought together in a single series once the handbook is complete."
Reseña del editor
Algebra, as we know it today, consists of many different ideas, concepts and results. Estimates of the number of these different "items" would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a "name" or a convenient designation. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An index has been included which is extensive and not limited to definitions, theorems etc. The "Handbook of Algebra" will publish articles as they are received and thus the reader will find in this first volume articles from three different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.
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Handbook of Algebra, Volume 1
Librería: Basi6 International, Irving, TX, Estados Unidos de America
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Handbook of Algebra : Volume 1
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North Holland, 1995
ISBN 10: 0444822127
ISBN 13: 9780444822123
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Librería: Mispah books, Redhill, SURRE, Reino Unido
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