A Guide to Groups, Rings, and Fields (Dolciani Mathematical Expositions)

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9780883853559: A Guide to Groups, Rings, and Fields (Dolciani Mathematical Expositions)

This Guide offers a concise overview of the theory of groups, rings, and fields at the graduate level, emphasizing those aspects that are useful in other parts of mathematics. It focuses on the main ideas and how they hang together. It will be useful to both students and professionals. In addition to the standard material on groups, rings, modules, fields, and Galois theory, the book includes discussions of other important topics that are often omitted in the standard graduate course, including linear groups, group representations, the structure of Artinian rings, projective, injective and flat modules, Dedekind domains, and central simple algebras. All of the important theorems are discussed, without proofs but often with a discussion of the intuitive ideas behind those proofs. Those looking for a way to review and refresh their basic algebra will benefit from reading this Guide, and it will also serve as a ready reference for mathematicians who make use of algebra in their work.

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Book Description:

This book provides a comprehensive and insightful guide to the many algebraic structures that are used in some form by almost all mathematicians. The book begins with groups and rings, and progresses to more exotic topics. A source of valuable information for graduate students, and a useful reference for researchers.

About the Author:

Fernando Q. Gouvêa is the Carter Professor of Mathematics at Colby College, Maine. He was editor of MAA Focus, the newsletter of the Mathematical Association of America, from 1999 to 2010 and is currently editor of MAA Reviews and the Carus Mathematical Monographs book series. He has written several books, including Math Through the Ages, with William P. Berlinghoff, which was awarded the 2007 Beckenbach Book Prize.

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Fernando Q. Gouvea
Editorial: Mathematical Association of America, United States (2013)
ISBN 10: 0883853558 ISBN 13: 9780883853559
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Descripción Mathematical Association of America, United States, 2013. Hardback. Estado de conservación: New. Language: English . Brand New Book. Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most important algebraic structures in modern mathematics, with an emphasis on creating a coherent picture of how they all interact. In addition to the standard material on groups, rings, modules, fields and Galois theory, the book includes discussions of other important topics, including linear groups, group representations, Artinian rings, projective, injective and flat modules, Dedekind domains and central simple algebras. All of the important theorems are discussed, typically without proofs, but often with a discussion of the intuitive ideas behind those proofs. This insightful guide is ideal for both graduate students in mathematics who are beginning their studies, and researchers who wish to understand the bigger picture of the algebraic structures they encounter. Nº de ref. de la librería AAA9780883853559

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Descripción Mathematical Association of America. Hardback. Estado de conservación: new. BRAND NEW, A Guide to Groups, Rings, and Fields, Fernando Q. Gouvea, Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most important algebraic structures in modern mathematics, with an emphasis on creating a coherent picture of how they all interact. In addition to the standard material on groups, rings, modules, fields and Galois theory, the book includes discussions of other important topics, including linear groups, group representations, Artinian rings, projective, injective and flat modules, Dedekind domains and central simple algebras. All of the important theorems are discussed, typically without proofs, but often with a discussion of the intuitive ideas behind those proofs. This insightful guide is ideal for both graduate students in mathematics who are beginning their studies, and researchers who wish to understand the bigger picture of the algebraic structures they encounter. Nº de ref. de la librería B9780883853559

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Descripción Mathematical Association of America, United States, 2013. Hardback. Estado de conservación: New. Language: English . Brand New Book. Algebraic structures have come to be ubiquitous in mathematics, with almost all mathematicians encountering groups, rings, fields or more exotic related objects during the course of their research. This book presents an overview of some of the most important algebraic structures in modern mathematics, with an emphasis on creating a coherent picture of how they all interact. In addition to the standard material on groups, rings, modules, fields and Galois theory, the book includes discussions of other important topics, including linear groups, group representations, Artinian rings, projective, injective and flat modules, Dedekind domains and central simple algebras. All of the important theorems are discussed, typically without proofs, but often with a discussion of the intuitive ideas behind those proofs. This insightful guide is ideal for both graduate students in mathematics who are beginning their studies, and researchers who wish to understand the bigger picture of the algebraic structures they encounter. Nº de ref. de la librería AAA9780883853559

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Descripción The Mathematical Association of America, 2013. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería FM-9780883853559

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Descripción Mathematical Association of America, 2012. Estado de conservación: New. Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond. Series: Dolciani Mathematical Expositions. Num Pages: 326 pages, Illustrations. BIC Classification: PBF; PBG. Category: (U) Tertiary Education (US: College). Dimension: 232 x 162 x 22. Weight in Grams: 560. Series: Dolciani Mathematical Expositions. 326 pages, Illustrationsstrations. Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond. Cateogry: (U) Tertiary Education (US: College). BIC Classification: PBF; PBG. Dimension: 232 x 162 x 22. Weight: 558. . 2012. Hardcover. . . . . . Nº de ref. de la librería V9780883853559

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Descripción Mathematical Association of America, 2013. Hardcover. Estado de conservación: Brand New. 328 pages. 9.25x6.25x1.00 inches. In Stock. Nº de ref. de la librería __0883853558

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Descripción Mathematical Association of America. Estado de conservación: New. Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond. Series: Dolciani Mathematical Expositions. Num Pages: 326 pages, Illustrations. BIC Classification: PBF; PBG. Category: (U) Tertiary Education (US: College). Dimension: 232 x 162 x 22. Weight in Grams: 560. Series: Dolciani Mathematical Expositions. 326 pages, Illustrationsstrations. Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond. Cateogry: (U) Tertiary Education (US: College). BIC Classification: PBF; PBG. Dimension: 232 x 162 x 22. Weight: 558. . 2012. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780883853559

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