Lectures In Abstract Algebra

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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.

Lectures In Abstract Algebra

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1965

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 1965 with categories.

Lectures In Abstract Algebra

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Author : N. Jacobson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

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 2012-12-06 with Mathematics categories.

The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II. In preparing this book we have had a number of objectives in mind. First and foremost has been that of presenting the basic field theory which is essential for an understanding of modern algebraic number theory, ring theory, and algebraic geometry. The parts of the book concerned with this aspect of the subject are Chapters I, IV, and V dealing respectively with finite dimen sional field extensions and Galois theory, general structure theory of fields, and valuation theory. Also the results of Chapter IlIon abelian extensions, although of a somewhat specialized nature, are ofinterest in number theory. A second objective of our ac count has been to indicate the links between the present theory of fields and the classical problems which led to its development.

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 1 Basic Concepts

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1966

Lectures In Abstract Algebra 1 Basic Concepts 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 1966 with Algebra, Abstract categories.

Lectures In Abstract Algebra

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1951

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 1951 with Algebra, Abstract categories.

Lectures In Abstract Algebra

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1966

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 1966 with Algebra, Abstract 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.

Lectures In Abstract Algebra

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Author : Nathan Jacobson
language : en
Publisher:
Release Date : 1975

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 1975 with categories.

Lectures In Abstract Algebra

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

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 1953 with Algebra, Abstract categories.