Algebra : An Approach via Module Theory

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - This book is designed as a text for a first-year graduate algebra course. As necessary background we would consider a good undergraduate linear algebra course. An undergraduate abstract algebra course, while helpful, is not necessary (and so an adventurous undergraduate might learn some algebra from this book). Perhaps the principal distinguishing feature of this book is its point of view. Many textbooks tend to be encyclopedic. We have tried to write one that is thematic, with a consistent point of view. The theme, as indicated by our title, is that of modules (though our intention has not been to write a textbook purely on module theory). We begin with some group and ring theory, to set the stage, and then, in the heart of the book, develop module theory. Having developed it, we present some of its applications: canonical forms for linear transformations, bilinear forms, and group representations. Why modules The answer is that they are a basic unifying concept in mathematics. The reader is probably already familiar with the basic role that vector spaces play in mathematics, and modules are a generaliza tion of vector spaces. (To be precise, modules are to rings as vector spaces are to fields.

Bestandsnummer des Verkäufers 9780387978390

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Bibliografische Details

Titel

Algebra : An Approach via Module Theory

Verlag

Springer New York, Springer New York

Erscheinungsjahr

1992

Sprache

Englisch

ISBN-10

0387978399

ISBN-13

9780387978390

Einband

Buch

Zustand

Neu

Abmessungen

241B x 160 H x 35 T Millimeter Breite: 241 mm, Höhe: 160 mm, Tiefe: 35 mm

Gewicht

975 Gramm

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