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Algebra: An Approach via Module Theory

Door William A. Adkins e.a.

Categorie	Algemeen wetenschap
Boeknummer	#343233-ZA30
Titel	Algebra: An Approach via Module Theory
Auteur	Adkins, William A. & Steven Weintraub
Boektype	Gebonden hardcover
Uitgeverij	New York : Springer-Verlag
Jaar van uitgave	1992
ISBN10	0387978399
ISBN13	9780387978390
Taal	Engels
Beschrijving	Original boards, illustrated with numerous equations and diagrams, 8vo.Graduate Texts in Mathematics, 136.
Samenvatting	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 ... (Lees verder)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.
Pagina's	526
Conditie	Goed — Spine discoloured, name in pen on title page.
Prijs	€ 45,00

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