Inhaltsangabe
In a textbook on abstract algebra, Silverman explains algebraic structures in mathematics, which he explains as a set of objects and a set of rules for manipulating the objects. He focuses on five types of objects: groups, rings, vector spaces, fields, and modules. He explains how all of the constructions fit into an axiomatic framework, and emphasizes the importance of studying those maps that preserve the underlying algebraic structure. The first half of the book is for a first introduction to abstract algebra, and requires only a course in linear algebra. The second half is more advanced, and suitable for a graduate introductory course. Annotation ©2022 Ringgold, Inc., Portland, OR (protoview.com)
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Über die Autorin bzw. den Autor
Joseph H. Silverman, Brown University, Providence, RI
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Abstract Algebra (Pure and Applied Undergraduate Texts, 55)
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Paperback. Zustand: new. Paperback. This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course. Takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9781470468606
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Paperback. Zustand: new. Paperback. This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper results are proven. The second half of the book contains material of a more advanced nature. It includes a thorough development of Galois theory, a chapter on modules, and short surveys of additional algebraic topics designed to whet the reader's appetite for further study. This book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course. Takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book is intended for a first introduction to abstract algebra and requires only a course in linear algebra as a prerequisite. The more advanced material could be used in an introductory graduate-level course. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Bestandsnummer des Verkäufers 9781470468606
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