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Lectures In Abstract Algebra Linear Algebra

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Lectures In Abstract Algebra

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Author : N. Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Lectures In Abstract Algebra written by N. Jacobson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

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 presupposed. 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.

Lectures In Abstract Algebra Linear Algebra

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1953

Lectures In Abstract Algebra Linear Algebra written by Nathan Jacobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with categories.

Lectures In Abstract Algebra

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1964-01-01

Lectures In Abstract Algebra written by Nathan Jacobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964-01-01 with categories.

Lectures In Abstract Algebra Finite Dimensional Vector Spaces

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1953

Lectures In Abstract Algebra Finite Dimensional Vector Spaces written by Nathan Jacobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Algebra, Abstract categories.

The three volume Lectures are based on Jacobson's graduate lectures on algebra at Johns Hopkins and Yale in the 1940's and early 1950's, and are very careful, comprehensive and classical in style, giving a general treatment of abstract algebra. The first volume gives a comprehensive introduction to abstract algebra and its basic concepts. The second volume deals with the theory of vector spaces, accompanied by examples and exercises. The third and final volume addresses field theory and Galois theory, and is not an easy read for the casual student, but a serious student who works at the material will be repaid for their efforts. All volumes include a considerable number of exercises are given that vary greatly in difficulty, while the texts in general are example-driven and user-friendly.

Lectures In Abstract Algebra

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Author :
language : en
Publisher:
Release Date : 1951

Lectures In Abstract Algebra written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with categories.

Lectures In Abstract Algebra Vol 1

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Author :
language : en
Publisher:
Release Date : 1951

Lectures In Abstract Algebra Vol 1 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with categories.

Abstract Algebra

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Author : Pierre Antoine Grillet
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-21

Abstract Algebra written by Pierre Antoine Grillet and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-21 with Mathematics categories.

A completely reworked new edition of this superb textbook. This key work is geared to the needs of the graduate student. It covers, with proofs, the usual major branches of groups, rings, fields, and modules. Its inclusive approach means that all of the necessary areas are explored, while the level of detail is ideal for the intended readership. The text tries to promote the conceptual understanding of algebra as a whole, doing so with a masterful grasp of methodology. Despite the abstract subject matter, the author includes a careful selection of important examples, together with a detailed elaboration of the more sophisticated, abstract theories.