Jacobson, Nathan 19101999
Overview
Works:  172 works in 948 publications in 6 languages and 10,226 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Other, Dedicatee, Contributor, Performer 
Classifications:  QA154.2, 512.89 
Publication Timeline
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Most widely held works about
Nathan Jacobson
 Papers by Alfred L Putnam( )
 Jacobson, Nathan : mathematics( )
 In memoriam : Nathan Jacobson, 18571913( Book )
 Nathan Jacobson (19101999) by Georgia Benkart( )
 Hoffman, Stephen, Papers by Stephen P Hoffman( )
 A personal history by Nathan Jacobson( Book )
 Medical College history file by Upstate Medical Center (N.Y.)( )
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Most widely held works by
Nathan Jacobson
Basic algebra by
Nathan Jacobson(
Book
)
33 editions published between 1974 and 1996 in English and held by 1,224 WorldCat member libraries worldwide
33 editions published between 1974 and 1996 in English and held by 1,224 WorldCat member libraries worldwide
Lie algebras by
Nathan Jacobson(
Book
)
63 editions published between 1961 and 2013 in 5 languages and held by 1,096 WorldCat member libraries worldwide
Lie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied. This book is a definitive treatment and can be used as a textbook for graduate courses
63 editions published between 1961 and 2013 in 5 languages and held by 1,096 WorldCat member libraries worldwide
Lie group theory, developed by M. Sophus Lie in the nineteenth century, ranks among the more important developments in modern mathematics. Lie algebras comprise a significant part of Lie group theory and are being actively studied. This book is a definitive treatment and can be used as a textbook for graduate courses
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
21 editions published between 1951 and 1975 in English and Undetermined and held by 1,060 WorldCat member libraries worldwide
The three volume Lectures are based on Jacobson's graduate lectures on algebra at John 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 exampledriven and userfriendly
21 editions published between 1951 and 1975 in English and Undetermined and held by 1,060 WorldCat member libraries worldwide
The three volume Lectures are based on Jacobson's graduate lectures on algebra at John 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 exampledriven and userfriendly
Structure of rings by
Nathan Jacobson(
Book
)
57 editions published between 1956 and 1997 in 3 languages and held by 891 WorldCat member libraries worldwide
The main purpose of this volume is to give an account of the important developments in the theory of (noncommutative) rings. These are: the structure theory of rings without finiteness assumptions, cohomology of algebras, and structure and representation theory of nonsemisimple rings (Frobenius algebras, quasiFrobenius rings)
57 editions published between 1956 and 1997 in 3 languages and held by 891 WorldCat member libraries worldwide
The main purpose of this volume is to give an account of the important developments in the theory of (noncommutative) rings. These are: the structure theory of rings without finiteness assumptions, cohomology of algebras, and structure and representation theory of nonsemisimple rings (Frobenius algebras, quasiFrobenius rings)
The theory of rings by
Nathan Jacobson(
Book
)
60 editions published between 1943 and 2014 in 3 languages and held by 655 WorldCat member libraries worldwide
Groups and endomoprphism; Vector spaces; Noncommutative principal ideal domains; Strucutre of rings of endomorphisms and of abstract rings; Algebras over a field; Multiplicative ideal theory
60 editions published between 1943 and 2014 in 3 languages and held by 655 WorldCat member libraries worldwide
Groups and endomoprphism; Vector spaces; Noncommutative principal ideal domains; Strucutre of rings of endomorphisms and of abstract rings; Algebras over a field; Multiplicative ideal theory
PIalgebras : an introduction by
Nathan Jacobson(
Book
)
20 editions published between 1975 and 2008 in 3 languages and held by 591 WorldCat member libraries worldwide
20 editions published between 1975 and 2008 in 3 languages and held by 591 WorldCat member libraries worldwide
Structure and representations of Jordan algebras by
Nathan Jacobson(
Book
)
17 editions published between 1968 and 2008 in English and Undetermined and held by 532 WorldCat member libraries worldwide
The purpose of this book is to give a comprehensive account of the structure and representation theory of Jordan algebras over a field of characteristic not two
17 editions published between 1968 and 2008 in English and Undetermined and held by 532 WorldCat member libraries worldwide
The purpose of this book is to give a comprehensive account of the structure and representation theory of Jordan algebras over a field of characteristic not two
Finitedimensional division algebras over fields by
Nathan Jacobson(
Book
)
22 editions published between 1996 and 2014 in 3 languages and held by 399 WorldCat member libraries worldwide
Finitedimensional division algebras over fields determine, by the Wedderburn Theorem, the semisimple finitedimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the BrauerSeveri varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts; they arose first in the study of the socalled "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involutorial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution; their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm
22 editions published between 1996 and 2014 in 3 languages and held by 399 WorldCat member libraries worldwide
Finitedimensional division algebras over fields determine, by the Wedderburn Theorem, the semisimple finitedimensional algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the BrauerSeveri varieties. The book concentrates on those algebras that have an involution. Algebras with involution appear in many contexts; they arose first in the study of the socalled "multiplication algebras of Riemann matrices". The largest part of the book is the fifth chapter, dealing with involutorial simple algebras of finite dimension over a field. Of particular interest are the Jordan algebras determined by these algebras with involution; their structure is discussed. Two important concepts of these algebras with involution are the universal enveloping algebras and the reduced norm
Exceptional Lie algebras by
Nathan Jacobson(
Book
)
10 editions published between 1971 and 2010 in English and held by 387 WorldCat member libraries worldwide
10 editions published between 1971 and 2010 in English and held by 387 WorldCat member libraries worldwide
Gesammelte Abhandlungen = Collected papers by
Emmy Noether(
Book
)
21 editions published between 1982 and 2013 in 4 languages and held by 305 WorldCat member libraries worldwide
Résumé
21 editions published between 1982 and 2013 in 4 languages and held by 305 WorldCat member libraries worldwide
Résumé
Basic algebra by
Nathan Jacobson(
Book
)
8 editions published in 2009 in English and held by 304 WorldCat member libraries worldwide
Volume I of a pair of classic texts? and standard references for a generation? this book is the work of an expert algebraist who taught at Yale for two decades. Volume I covers all undergraduate topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition
8 editions published in 2009 in English and held by 304 WorldCat member libraries worldwide
Volume I of a pair of classic texts? and standard references for a generation? this book is the work of an expert algebraist who taught at Yale for two decades. Volume I covers all undergraduate topics, including groups, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra. 1985 edition
Basic algebra I by
Nathan Jacobson(
Book
)
34 editions published between 1973 and 2009 in English and Undetermined and held by 296 WorldCat member libraries worldwide
"Explores all of the topics typically covered in undergraduate courses including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra"Page 4 of cover
34 editions published between 1973 and 2009 in English and Undetermined and held by 296 WorldCat member libraries worldwide
"Explores all of the topics typically covered in undergraduate courses including the rudiments of set theory, group theory, rings, modules, Galois theory, polynomials, linear algebra, and associative algebra"Page 4 of cover
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
56 editions published between 1951 and 1977 in English and Undetermined and held by 293 WorldCat member libraries worldwide
56 editions published between 1951 and 1977 in English and Undetermined and held by 293 WorldCat member libraries worldwide
Basic Algebra by
Nathan Jacobson(
Book
)
33 editions published between 1980 and 2009 in 3 languages and held by 206 WorldCat member libraries worldwide
This classic text and standard reference comprises all subjects of a firstyear graduatelevel course, including indepth coverage of groups and polynomials and extensive use of categories and functors
33 editions published between 1980 and 2009 in 3 languages and held by 206 WorldCat member libraries worldwide
This classic text and standard reference comprises all subjects of a firstyear graduatelevel course, including indepth coverage of groups and polynomials and extensive use of categories and functors
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
48 editions published between 1951 and 1976 in 3 languages and held by 205 WorldCat member libraries worldwide
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
48 editions published between 1951 and 1976 in 3 languages and held by 205 WorldCat member libraries worldwide
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
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
52 editions published between 1951 and 2000 in 3 languages and held by 192 WorldCat member libraries worldwide
52 editions published between 1951 and 2000 in 3 languages and held by 192 WorldCat member libraries worldwide
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
37 editions published between 1953 and 2013 in English and Undetermined and held by 174 WorldCat member libraries worldwide
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
37 editions published between 1953 and 2013 in English and Undetermined and held by 174 WorldCat member libraries worldwide
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
Collected mathematical papers by
Nathan Jacobson(
Book
)
3 editions published in 1989 in English and held by 173 WorldCat member libraries worldwide
3 editions published in 1989 in English and held by 173 WorldCat member libraries worldwide
Lectures on quadratic Jordan algebras by
Nathan Jacobson(
Book
)
5 editions published between 1969 and 1979 in English and held by 146 WorldCat member libraries worldwide
5 editions published between 1969 and 1979 in English and held by 146 WorldCat member libraries worldwide
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
23 editions published between 1951 and 1975 in English and Undetermined and held by 103 WorldCat member libraries worldwide
23 editions published between 1951 and 1975 in English and Undetermined and held by 103 WorldCat member libraries worldwide
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Related Identities
 American Mathematical Society Editor
 Noether, Emmy 18821935 Author
 SpringerLink (Service en ligne)
 Aleksandrov, Pavel Sergeevitch 18961982 Author of introduction
 Saltman, David J. Other Editor
 Amitsur, Shimshon A. Other Editor
 Zariski, Oscar 18991986
 Institute for Advanced Study (Princeton, N.J.). School of Mathematics
 Du Val, Patrick 1903
 Albert, Abraham Adrian (19051972) Author
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic fields Algebraic functions American Civil War (18611865) American Mathematical Society Canada College teachers Cook, George W Division algebras Galois theory Geneva Medical College Geometry Geometry, NonEuclidean Group theory Hille, Einar, Jacobson, Nathan, Jordan algebras Kakutani, Shizuo, Lie algebras Mathematicians Mathematics MathematicsStudy and teaching Medical colleges Medicine MedicineStudy and teaching Military operations, Naval New York (State) New York (State)Syracuse Physicians Public health Rings (Algebra) Schools Scientists Social conditions Students Syracuse University.College of Medicine United States Universities and collegesAlumni and alumnae Universities and collegesFaculty Upstate Medical Center (N.Y.) WomenHealth and hygiene Yale University
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Alternative Names
Džekobson, N.
Džekobson, N. 19101999
Jacobson, N.
Jacobson, N. 1910
Jacobson, N. 19101999
Jacobson, N. (Nathan), 1910
Jacobson, N. (Nathan), 19101999
Jacobson, Nathan
Jacobson, Nathan 1910
Nathan Jacobson matemático estadounidense
Nathan Jacobson matematico statunitense
Nathan Jacobson mathématicien américain
Nathan Jacobson USamerikanischer Mathematiker
Nathan Jacobson wiskundige uit Keizerrijk Rusland (19101999)
Джекобсон Н.
Натан Джекобсон американский математик
Նաթան Ջեյքոբսոն
נתן ג'ייקובסון
נתן ג'ייקובסון מתמטיקאי אמריקאי
ناتان جیکوبسون ریاضیدان آمریکایی
네이선 제이컵슨
ジャコブソン
内森·雅各布森
纳森·雅各布森
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