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Algebraic Number Theory
From the reviews of the first printing, published as Volume 62 of the Encyclopaedia of Mathematical Sciences: "... The author succeeded in an excellent way to describe the various points of view under which Class Field Theory can be seen. ... In any case the author succeeded to write a very readable book on these difficult themes." Monatshefte fuer Mathematik, 1994 "... Koch's book is written mostly for non-specialists. It is an up-to-date account of the subject dealing with mostly general questions. Special results appear only as illustrating examples for the general features of the theory. It is supposed that the reader has good general background in the fields of modern (abstract) algebra and elementary number theory. We recommend this volume mainly to graduate studens and research mathematicians." Acta Scientiarum Mathematicarum, 1993
Handbook of Algebra
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.
Metals and Materials
None
Bibliographie Linguistique de L'annee 1999
Setting out the historical national and religious characteristics of the Italians as they impact on the integration within the European Union, this study makes note of the two characteristics that have an adverse effect on Italian national identity: cleavages between north and south and the dominant role of family. It discusses how for Italians family loyalty is stronger than any other allegiance, including feelings towards their country, their nation, or the EU. Due to such subnational allegiances and values, this book notes that Italian civic society is weaker and engagement at the grass roots is less robust than one finds in other democracies, leaving politics in Italy largely in the hands of political parties. The work concludes by noting that EU membership, however, provides no magic bullet for Italy: it cannot change internal cleavages, the Italian worldview, and family values or the country’s mafia-dominated power matrix, and as a result, the underlying absence of fidelity to a shared polity—Italian or European—leave the country as ungovernable as ever.
