Minor shelf wear to yellow and white cloth hardcover. Owner stamp on inside front cover and on top edge of text block. Otherwise a tight, unmarked volume. Index. xii, 280 pp.

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Dati bibliografici

Titolo

Lectures in Abstract Algebra II: Linear Algebra (Graduate Texts in Mathematics 31)

Editore

Springer

Data di pubblicazione

1975

Lingua

Inglese

ISBN 10

038790123X

ISBN 13

9780387901237

Rilegatura

Hardcover

Edizione

1st Edition

Condizione

Very Good

Condizione della sovraccoperta

No Jacket

Cataloghi dei venditori

Mathematics

Descrizione articolo

Riassunto

The present volume is the second in the author's series of three dealing with abstract algebra. For an understanding of this volume a certain familiarity with the basic concepts treated in Volume I: groups, rings, fields, homomorphisms, is presup�posed. However, we have tried to make this account of linear algebra independent of a detailed knowledge of our first volume. References to specific results are given occasionally but some of the fundamental concepts needed have been treated again. In short, it is hoped that this volume can be read with complete understanding by any student who is mathematically sufficiently mature and who has a familiarity with the standard notions of modern algebra. Our point of view in the present volume is basically the abstract conceptual one. However, from time to time we have deviated somewhat from this. Occasionally formal calculational methods yield sharper results. Moreover, the results of linear algebra are not an end in themselves but are essentialtools for use in other branches of mathematics and its applications. It is therefore useful to have at hand methods which are constructive and which can be applied in numerical problems. These methods sometimes necessitate a somewhat lengthier discussion but we have felt that their presentation is justified on the grounds indicated. A stu� dent well versed in abstract algebra will undoubtedly observe short cuts. Some of these have been indicated in footnotes. We have included a large number of exercises in the text.

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