Verwandte Artikel zu Algebra: An Approach via Module Theory: 136 (Graduate...
Inhaltsangabe
Algebra: an approach via module theory editado por
Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.
Reseña del editor
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.
Reseña del editor
This book is designed as a text for a first-year graduate algebra course. The choice of topics is guided by the underlying theme of modules as a basic unifying concept in mathematics. Beginning with standard topics in groups and ring theory, the authors then develop basic module theory, culminating in the fundamental structure theorem for finitely generated modules over a principal ideal domain. They then treat canonical form theory in linear algebra as an application of this fundamental theorem. Module theory is also used in investigating bilinear, sesquilinear, and quadratic forms. The authors develop some multilinear algebra (Hom and tensor product) and the theory of semisimple rings and modules and apply these results in the final chapter to study group represetations by viewing a representation of a group G over a field F as an F(G)-module. The book emphasizes proofs with a maximum of insight and a minimum of computation in order to promote understanding. However, extensive material on computation (for example, computation of canonical forms) is provided.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagSpringer
- Erscheinungsdatum1999
- ISBN 10 0387978399
- ISBN 13 9780387978390
- EinbandTapa dura
- SpracheEnglisch
- Anzahl der Seiten544
Neu kaufen
Diesen Artikel anzeigen
EUR 105,51
EUR 14,07 für den Versand von Vereinigtes Königreich nach USA
Versandziele, Kosten & DauerWeitere beliebte Ausgaben desselben Titels
Suchergebnisse für Algebra: An Approach via Module Theory: 136 (Graduate...
Foto des Verkäufers
Algebra: An Approach via Module Theory
Anbieter: Attic Books (ABAC, ILAB), London, ON, Kanada
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Zustand: ex library-good. Graduate Texts in Mathematics 136. x, 526 p. 24 cm. Ex library with labels on spine and inside rear cover, ink stamps on top edge and series page. Spine faded, marks on rear cover. Artikel-Nr. 148886
Anzahl: 1 verfügbar
Foto des Verkäufers
Algebra: An Approach via Module Theory
Verlag:
New York : Springer-Verlag, 1992
ISBN 10: 0387978399
ISBN 13: 9780387978390
Gebraucht
Hardcover
Anbieter: Klondyke, Almere, Niederlande
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. Original boards, illustrated with numerous equations and diagrams, 8vo.Graduate Texts in Mathematics, 136.; Spine discoloured, name in pen on title page. Artikel-Nr. 343233-ZA30
Anzahl: 1 verfügbar
Foto des Verkäufers
Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136, Band 136)
Anbieter: Studibuch, Stuttgart, Deutschland
Verkäuferbewertung 5 von 5 Sternen
hardcover. Zustand: Befriedigend. 536 Seiten; 9780387978390.4 Gewicht in Gramm: 4. Artikel-Nr. 882228
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Algebra: An Approach via Module Theory (Graduate Texts in Mathematics, 136)
Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In English. Artikel-Nr. ria9780387978390_new
Anzahl: Mehr als 20 verfügbar
Foto des Verkäufers
Algebra : An Approach via Module Theory
Verlag:
Springer New York, Springer New York, 1992
ISBN 10: 0387978399
ISBN 13: 9780387978390
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. 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. Artikel-Nr. 9780387978390
Anzahl: 1 verfügbar