Lectures In Abstract Algebra Linear Algebra

Author : N. Jacobson
Publisher : Springer
Page : 304 pages
File Size : 46,8 Mb
Release : 1975
Category : Mathematics
ISBN : UOM:49015002165802

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Lectures in Abstract Algebra by N. Jacobson Pdf

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 : Unknown
Page : 304 pages
File Size : 46,6 Mb
Release : 1953
Category : Algebra, Abstract
ISBN : UOM:39015000488067

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Lectures in Abstract Algebra: Linear algebra by Nathan Jacobson Pdf

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.

Author : N. Jacobson
Publisher : Springer Science & Business Media
Page : 291 pages
File Size : 48,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781468470536

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Lectures in Abstract Algebra by N. Jacobson Pdf

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 : Nathan Jacobson
Publisher : Unknown
Page : 24 pages
File Size : 52,5 Mb
Release : 1975
Category : Electronic
ISBN : OCLC:839667658

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Lectures in abstract algebra by Nathan Jacobson Pdf

Author : Nathan Jacobson
Publisher : Unknown
Page : 340 pages
File Size : 54,7 Mb
Release : 1964-01-01
Category : Electronic
ISBN : 1461298733

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Lectures in Abstract Algebra by Nathan Jacobson Pdf

Author : N. Jacobson
Publisher : Unknown
Page : 296 pages
File Size : 43,5 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 146847054X

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Lectures in Abstract Algebra by N. Jacobson Pdf

Author : Nathan Jacobson
Publisher : Unknown
Page : 280 pages
File Size : 53,9 Mb
Release : 2000
Category : Algebra, Abstract
ISBN : 7506200619

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抽象代数讲义 by Nathan Jacobson Pdf

著者译名:雅各布松。

Author : Anonim
Publisher : Unknown
Page : 217 pages
File Size : 51,7 Mb
Release : 1951
Category : Electronic
ISBN : OCLC:465113485

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Lectures in abstract algebra. Vol. 1 by Anonim Pdf

Author : Abhyankar Shreeram Shankar
Publisher : World Scientific
Page : 756 pages
File Size : 52,9 Mb
Release : 2006-07-31
Category : Electronic
ISBN : 9789814477833

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Lectures On Algebra - by Abhyankar Shreeram Shankar Pdf

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author's fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author's lectures at Purdue University over the last few years.

Author : Isaiah Lankham,Bruno Nachtergaele,Anne Schilling
Publisher : World Scientific Publishing Company
Page : 208 pages
File Size : 41,8 Mb
Release : 2015-11-30
Category : Mathematics
ISBN : 9789814723794

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Linear Algebra as an Introduction to Abstract Mathematics by Isaiah Lankham,Bruno Nachtergaele,Anne Schilling Pdf

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 : Nathan Jacobson
Publisher : Unknown
Page : 280 pages
File Size : 44,7 Mb
Release : 1975
Category : Electronic
ISBN : OCLC:1024740187

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Lectures in Abstract Algebra by Nathan Jacobson Pdf

Author : N. Jacobson
Publisher : Springer
Page : 217 pages
File Size : 41,8 Mb
Release : 2012-10-20
Category : Mathematics
ISBN : 1468473026

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Lectures in Abstract Algebra I by N. Jacobson Pdf

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.

Author : Nathan Jacobson
Publisher : Unknown
Page : 280 pages
File Size : 45,7 Mb
Release : 1953
Category : Electronic
ISBN : OCLC:7707891

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Lectures in Abstract Algebra: Linear algebra by Nathan Jacobson Pdf

Author : Nathan Jacobson
Publisher : Unknown
Page : 323 pages
File Size : 45,5 Mb
Release : 1964
Category : Algebra, Abstract
ISBN : OCLC:16390537

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Lectures in Abstract Algebra by Nathan Jacobson Pdf

Author : Shreeram Shankar Abhyankar
Publisher : World Scientific
Page : 758 pages
File Size : 51,5 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812773449

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Lectures on Algebra by Shreeram Shankar Abhyankar Pdf

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.The present volume makes an ideal textbook for an abstract algebra course, while the forthcoming sequel, Lectures on Algebra II, will serve as a textbook for a linear algebra course. The author''s fondness for algebraic geometry shows up in both volumes, and his recent preoccupation with the applications of group theory to the calculation of Galois groups is evident in the second volume which contains more local rings and more algebraic geometry. Both books are based on the author''s lectures at Purdue University over the last few years.