Jacobson, Nathan 19101999
Overview
Works:  132 works in 869 publications in 6 languages and 10,030 library holdings 

Genres:  History Biography 
Roles:  Author, Editor, Contributor, Dedicatee, Other, Performer 
Classifications:  QA154.2, 512.89 
Publication Timeline
.
Most widely held works about
Nathan Jacobson
 Jacobson, Nathan : mathematics( )
 Nathan Jacobson (19101999) by Georgia Benkart( )
 In memoriam : Nathan Jacobson, 18571913( Book )
 A personal history by Nathan Jacobson( Book )
 Hoffman, Stephen, Papers by Stephen P Hoffman( )
 Medical College history file by Upstate Medical Center (N.Y.)( )
 Papers by Alfred L Putnam( )
more
fewer
Most widely held works by
Nathan Jacobson
Basic algebra by
Nathan Jacobson(
Book
)
37 editions published between 1974 and 2009 in English and held by 1,391 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
37 editions published between 1974 and 2009 in English and held by 1,391 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
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
27 editions published between 1951 and 1976 in English and held by 1,242 WorldCat member libraries worldwide
V.1: Basic concepts; v.2: Linear algebra; v.3: Theory of fields and galois theory
27 editions published between 1951 and 1976 in English and held by 1,242 WorldCat member libraries worldwide
V.1: Basic concepts; v.2: Linear algebra; v.3: Theory of fields and galois theory
Lie algebras by
Nathan Jacobson(
Book
)
64 editions published between 1961 and 2013 in 5 languages and held by 1,007 WorldCat member libraries worldwide
Lie group theory, developed by M. Sophus Lie in the 19th 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 today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses. Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its consequences, and split semisimple Lie algebras. Chapter 5, on universal enveloping algebras, provides the abstract concepts underlying representation theory. Then the basic results on representation theory are given in three succeeding chapters: the theorem of AdoIwasawa, classification of irreducible modules, and characters of the irreducible modules. In Chapter 9 the automorphisms of semisimple Lie algebras over an algebraically closed field of characteristic zero are determined. These results are applied in Chapter 10 to the problems of sorting out the simple Lie algebras over an arbitrary field. The reader, to fully benefit from this tenth chapter, should have some knowledge about the notions of Galois theory and some of the results of the Wedderburn structure theory of associative algebras. Nathan Jacobson, presently Henry Ford II Professor of Mathematics at Yale University, is a wellknown authority in the field of abstract algebra. His book, Lie Algebras, is a classic handbook both for researchers and students. Though it presupposes a knowledge of linear algebra, it is not overly theoretical and can be readily used for selfstudy
64 editions published between 1961 and 2013 in 5 languages and held by 1,007 WorldCat member libraries worldwide
Lie group theory, developed by M. Sophus Lie in the 19th 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 today. This book, by Professor Nathan Jacobson of Yale, is the definitive treatment of the subject and can be used as a textbook for graduate courses. Chapter I introduces basic concepts that are necessary for an understanding of structure theory, while the following three chapters present the theory itself: solvable and nilpotent Lie algebras, Carlan's criterion and its consequences, and split semisimple Lie algebras. Chapter 5, on universal enveloping algebras, provides the abstract concepts underlying representation theory. Then the basic results on representation theory are given in three succeeding chapters: the theorem of AdoIwasawa, classification of irreducible modules, and characters of the irreducible modules. In Chapter 9 the automorphisms of semisimple Lie algebras over an algebraically closed field of characteristic zero are determined. These results are applied in Chapter 10 to the problems of sorting out the simple Lie algebras over an arbitrary field. The reader, to fully benefit from this tenth chapter, should have some knowledge about the notions of Galois theory and some of the results of the Wedderburn structure theory of associative algebras. Nathan Jacobson, presently Henry Ford II Professor of Mathematics at Yale University, is a wellknown authority in the field of abstract algebra. His book, Lie Algebras, is a classic handbook both for researchers and students. Though it presupposes a knowledge of linear algebra, it is not overly theoretical and can be readily used for selfstudy
Structure of rings by
Nathan Jacobson(
Book
)
64 editions published between 1956 and 1997 in 3 languages and held by 881 WorldCat member libraries worldwide
64 editions published between 1956 and 1997 in 3 languages and held by 881 WorldCat member libraries worldwide
Lectures in abstract algebra by
Nathan Jacobson(
Book
)
227 editions published between 1951 and 2013 in 3 languages and held by 663 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
227 editions published between 1951 and 2013 in 3 languages and held by 663 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
The theory of rings by
Nathan Jacobson(
Book
)
59 editions published between 1943 and 2014 in 3 languages and held by 619 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
59 editions published between 1943 and 2014 in 3 languages and held by 619 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
Structure and representations of Jordan algebras by
Nathan Jacobson(
Book
)
19 editions published between 1968 and 2008 in English and Undetermined and held by 518 WorldCat member libraries worldwide
The theory of Jordan algebras has played important roles behind the scenes of several areas of mathematics. Jacobson's book has long been the definitive treatment of the subject. It covers foundational material, structure theory, and representation theory for Jordan algebras. Of course, there are immediate connections with Lie algebras, which Jacobson details in Chapter 8. Of particular continuing interest is the discussion of exceptional Jordan algebras, which serve to explain the exceptional Lie algebras and Lie groups. Jordan algebras originally arose in the attempts by Jordan, von Neumann
19 editions published between 1968 and 2008 in English and Undetermined and held by 518 WorldCat member libraries worldwide
The theory of Jordan algebras has played important roles behind the scenes of several areas of mathematics. Jacobson's book has long been the definitive treatment of the subject. It covers foundational material, structure theory, and representation theory for Jordan algebras. Of course, there are immediate connections with Lie algebras, which Jacobson details in Chapter 8. Of particular continuing interest is the discussion of exceptional Jordan algebras, which serve to explain the exceptional Lie algebras and Lie groups. Jordan algebras originally arose in the attempts by Jordan, von Neumann
Exceptional Lie algebras by
Nathan Jacobson(
Book
)
16 editions published between 1957 and 2010 in English and held by 427 WorldCat member libraries worldwide
16 editions published between 1957 and 2010 in English and held by 427 WorldCat member libraries worldwide
PIalgebras : an introduction by
Nathan Jacobson(
Book
)
21 editions published between 1975 and 2008 in 3 languages and held by 426 WorldCat member libraries worldwide
21 editions published between 1975 and 2008 in 3 languages and held by 426 WorldCat member libraries worldwide
Finitedimensional division algebras over fields by
Nathan Jacobson(
Book
)
19 editions published between 1996 and 2014 in 3 languages and held by 332 WorldCat member libraries worldwide
Finitedimensional division algebras over fields determine, by the Wedderburn Theorem, the semisimple finitedimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= erSeveri 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 involu= torial 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. Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK)
19 editions published between 1996 and 2014 in 3 languages and held by 332 WorldCat member libraries worldwide
Finitedimensional division algebras over fields determine, by the Wedderburn Theorem, the semisimple finitedimensio= nal algebras over a field. They lead to the definition of the Brauer group and to certain geometric objects, the Brau= erSeveri 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 involu= torial 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. Corrections of the 1st edition (1996) carried out on behalf of N. Jacobson (deceased) by Prof. P.M. Cohn (UC London, UK)
Gesammelte Abhandlungen = Collected papers by
Emmy Noether(
Book
)
19 editions published between 1982 and 2013 in 4 languages and held by 298 WorldCat member libraries worldwide
Résumé
19 editions published between 1982 and 2013 in 4 languages and held by 298 WorldCat member libraries worldwide
Résumé
Basic algebra I by
Nathan Jacobson(
Book
)
32 editions published between 1973 and 2009 in English and Undetermined and held by 242 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"Cover p. 4
32 editions published between 1973 and 2009 in English and Undetermined and held by 242 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"Cover p. 4
Basic Algebra by
Nathan Jacobson(
Book
)
36 editions published between 1980 and 2009 in 3 languages and held by 205 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
36 editions published between 1980 and 2009 in 3 languages and held by 205 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
Collected mathematical papers by
Nathan Jacobson(
Book
)
7 editions published in 1989 in English and held by 180 WorldCat member libraries worldwide
7 editions published in 1989 in English and held by 180 WorldCat member libraries worldwide
Lectures on quadratic Jordan algebras by
Nathan Jacobson(
Book
)
10 editions published between 1969 and 1979 in English and Undetermined and held by 149 WorldCat member libraries worldwide
10 editions published between 1969 and 1979 in English and Undetermined and held by 149 WorldCat member libraries worldwide
Collected mathematical papers by
Nathan Jacobson(
Book
)
10 editions published in 1989 in 3 languages and held by 84 WorldCat member libraries worldwide
10 editions published in 1989 in 3 languages and held by 84 WorldCat member libraries worldwide
Theory of fields and Galois theory by
Nathan Jacobson(
Book
)
4 editions published between 1964 and 1980 in English and Undetermined and held by 49 WorldCat member libraries worldwide
Band 3
4 editions published between 1964 and 1980 in English and Undetermined and held by 49 WorldCat member libraries worldwide
Band 3
Collected mathematical papers by
Nathan Jacobson(
Book
)
7 editions published in 1989 in English and German and held by 47 WorldCat member libraries worldwide
7 editions published in 1989 in English and German and held by 47 WorldCat member libraries worldwide
Structure theory of Jordan algebras by
Nathan Jacobson(
Book
)
4 editions published between 1981 and 1988 in English and held by 42 WorldCat member libraries worldwide
4 editions published between 1981 and 1988 in English and held by 42 WorldCat member libraries worldwide
A personal history by
Nathan Jacobson(
Book
)
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
1 edition published in 1993 in English and held by 1 WorldCat member library worldwide
more
fewer
Audience Level
0 

1  
Kids  General  Special 
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
 Institute for Advanced Study (Princeton, N.J.). School of Mathematics
 Zariski, Oscar 18991986
 Du Val, Patrick 1903
 Albert, Abraham Adrian (19051972) Author
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic fields Algebraic functions Algebras, Linear 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
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
Languages
Covers