Graduate Texts in Mathematics

Lectures in Abstract Algebra

II. Linear Algebra

Authors: Jacobson, N.

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About this Textbook

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 presupĀ­ 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 stuĀ­ 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.

Table of contents (9 chapters)

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-1-4684-7053-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA
  • ISBN 978-1-4684-7055-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Lectures in Abstract Algebra
Book Subtitle
II. Linear Algebra
Authors
Series Title
Graduate Texts in Mathematics
Series Volume
31
Copyright
1953
Publisher
Springer-Verlag New York
Copyright Holder
N. Jacobson
eBook ISBN
978-1-4684-7053-6
DOI
10.1007/978-1-4684-7053-6
Softcover ISBN
978-1-4684-7055-0
Series ISSN
0072-5285
Edition Number
1
Number of Pages
XII, 280
Additional Information
Originally published by Van Nostrand Publishing Company 1953
Topics