[Télécharger] Algebraic Number Theory (Cambridge Studies in Advanced Mathematics Book 27) (English Edition) de A. Fröhlich,M. J. Taylor Pdf Ebook

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Télécharger "Algebraic Number Theory (Cambridge Studies in Advanced Mathematics Book 27) (English Edition)" de A. Fröhlich,M. J. Taylor Livre PDF Gratuit

Auteur : A. Fröhlich,M. J. Taylor
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This book originates from graduate courses given in Cambridge and London. It provides a brisk, thorough treatment of the foundations of algebraic number theory, and builds on that to introduce more advanced ideas. Throughout, the authors emphasise the systematic development of techniques for the explicit calculation of the basic invariants, such as rings of integers, class groups, and units. Moreover they combine, at each stage of development, theory with explicit computations and applications, and provide motivation in terms of classical number-theoretic problems. A number of special topics are included that can be treated at this level but can usually only be found in research monographs or original papers, for instance: module theory of Dedekind domains; tame and wild ramifications; Gauss series and Gauss periods; binary quadratic forms; and Brauer relations. This is the only textbook at this level which combines clean, modern algebraic techniques together with a substantial arithmetic content. It will be indispensable for all practising and would-be algebraic number theorists.

Télécharger Algebraic Number Theory (Cambridge Studies in Advanced Mathematics Book 27) (English Edition) de A. Fröhlich,M. J. Taylor Livre PDF Gratuit

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Math 784, Algebraic Number Theory ~ Math 784, Algebraic Number Theory Spring 2008 Instructor: Matthew Boylan Course Description: This course is an introduction to algebraic number theory. Algebraic number theory is one of the foundations of modern number theory. It is primarily the study of number elds, which are nite algebraic extensions of the rationals. Of particular

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Algebraic Number Theory (cambridge Studies In Advanced ~ This book provides a brisk, thorough treatment of the foundations of algebraic number theory on which it builds to introduce more advanced topics. Throughout, the authors emphasize the systematic development of techniques for the explicit calculation of the basic invariants such as rings of integers, class groups, and units, combining at each stage theory with explicit computations.

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Algebraic Number Theory (Cambridge Studies in Advanced ~ Reading this book will provide a grounding in the theory of Dedekind domains and provides a clear picture of how number fields are a special sort. It will also provide an introduction to the basic ideas of more advanced subjects like class field theory, such valuations and padic completions, Ostrowski's theorem, the Dirichlet Unit Theorem and the Kummer criterion. Another feature is sections .

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ALGEBRAIC NUMBER THEORY / Download book ~ The Theory of Numbers. Robert Daniel Carmichael (March 1, 1879 – May 2, 1967) was a leading American mathematician.The purpose of this little book is to give the reader a convenient introduction to the theory of numbers, one of the most extensive and most elegant disciplines in the whole body of mathematics.

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Algebra and Number Theory: An Integrated Approach / Number ~ The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book .

Algebraic number theory - Wikipedia ~ Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations. Number-theoretic questions are expressed in terms of properties of algebraic objects such as algebraic number fields and their rings of integers, finite fields, and function fields. These properties, such as whether a ring admits .