Lectures In Abstract Algebra Linear Algebra

Author : N. Jacobson
Publisher : Springer
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.02/5 ( download)

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Download or read book Lectures in Abstract Algebra written by N. Jacobson and published by Springer. This book was released on 1975 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Nathan Jacobson
Publisher :
ISBN 13 :
Total Pages : 304 pages
Book Rating : 4.67/5 ( download)

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Download or read book Lectures in Abstract Algebra: Linear algebra written by Nathan Jacobson and published by . This book was released on 1953 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nathan Jacobson
Publisher :
ISBN 13 : 9787506200615
Total Pages : 280 pages
Book Rating : 4.19/5 ( download)

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Download or read book 抽象代数讲义 written by Nathan Jacobson and published by . This book was released on 2000 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: 著者译名:雅各布松。

Author : N. Jacobson
Publisher : Springer Science & Business Media
ISBN 13 : 1468470531
Total Pages : 291 pages
Book Rating : 4.36/5 ( download)

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Download or read book Lectures in Abstract Algebra written by N. Jacobson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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.

Author : N. Jacobson
Publisher :
ISBN 13 : 9781468470543
Total Pages : 296 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Lectures in Abstract Algebra written by N. Jacobson and published by . This book was released on 2014-01-15 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Nathan Jacobson
Publisher :
ISBN 13 : 9781461298731
Total Pages : 340 pages
Book Rating : 4.33/5 ( download)

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Download or read book Lectures in Abstract Algebra written by Nathan Jacobson and published by . This book was released on 1964-01-01 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Isaiah Lankham
Publisher : World Scientific Publishing Company
ISBN 13 : 9814723797
Total Pages : 208 pages
Book Rating : 4.94/5 ( download)

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Download or read book Linear Algebra as an Introduction to Abstract Mathematics written by Isaiah Lankham and published by World Scientific Publishing Company. This book was released on 2015-11-30 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational oriented undergraduate classes to the more abstract oriented classes. The book begins with systems of linear equations and complex numbers, then relates these to the abstract notion of linear maps on finite-dimensional vector spaces, and covers diagonalization, eigenspaces, determinants, and the Spectral Theorem. Each chapter concludes with both proof-writing and computational exercises.

Author : I. M. Gelfand
Publisher : Courier Corporation
ISBN 13 : 9780486660820
Total Pages : 212 pages
Book Rating : 4.26/5 ( download)

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Download or read book Lectures on Linear Algebra written by I. M. Gelfand and published by Courier Corporation. This book was released on 1989-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.

Author : Nathan Jacobson
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.91/5 ( download)

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Download or read book Lectures in Abstract Algebra: Linear algebra written by Nathan Jacobson and published by . This book was released on 1953 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : N. Jacobson
Publisher : Springer Science & Business Media
ISBN 13 : 1468473018
Total Pages : 227 pages
Book Rating : 4.18/5 ( download)

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Download or read book Lectures in Abstract Algebra I written by N. Jacobson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume is the first of three that will be published under the general title Lectures in Abstract Algebra. These vol umes are based on lectures which the author has given during the past ten years at the University of North Carolina, at The Johns Hopkins University, and at Yale "University. The general plan of the work IS as follows: The present first volume gives an introduction to abstract algebra and gives an account of most of the important algebraIc concepts. In a treatment of this type it is impossible to give a comprehensive account of the topics which are introduced. Nevertheless we have tried to go beyond the foundations and elementary properties of the algebraic sys tems. This has necessitated a certain amount of selection and omission. We feel that even at the present stage a deeper under standing of a few topics is to be preferred to a superficial under standing of many. The second and third volumes of this work will be more special ized in nature and will attempt to give comprehensive accounts of the topics which they treat. Volume II will bear the title Linear Algebra and will deal with the theorv of vectQ!_JlP. -a. ces. . . . . Volume III, The Theory of Fields and Galois Theory, will be con cerned with the algebraic structure offieras and with valuations of fields. All three volumes have been planned as texts for courses.