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 essential tools 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."
General
| Imprint: |
Springer-Verlag New York
|
| Country of origin: |
United States |
| Series: |
Graduate Texts in Mathematics, 31 |
| Release date: |
2013 |
| First published: |
1953 |
| Authors: |
N. Jacobson
|
| Dimensions: |
235 x 155 x 15mm (L x W x T) |
| Format: |
Paperback
|
| Pages: |
280 |
| Edition: |
Softcover reprint of the original 1st ed. 1953 |
| ISBN-13: |
978-1-4684-7055-0 |
| Categories: |
Books >
Science & Mathematics >
Mathematics >
Algebra >
General
|
| LSN: |
1-4684-7055-8 |
| Barcode: |
9781468470550 |
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