Softcover ISBN:  9780821846100 
Product Code:  COLL/17 
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eBook ISBN:  9780821832042 
Product Code:  COLL/17.E 
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Softcover ISBN:  9780821846100 
eBook: ISBN:  9780821832042 
Product Code:  COLL/17.B 
List Price:  $125.00 $95.00 
MAA Member Price:  $112.50 $85.50 
AMS Member Price:  $100.00 $76.00 
Softcover ISBN:  9780821846100 
Product Code:  COLL/17 
List Price:  $65.00 
MAA Member Price:  $58.50 
AMS Member Price:  $52.00 
eBook ISBN:  9780821832042 
Product Code:  COLL/17.E 
List Price:  $60.00 
MAA Member Price:  $54.00 
AMS Member Price:  $48.00 
Softcover ISBN:  9780821846100 
eBook ISBN:  9780821832042 
Product Code:  COLL/17.B 
List Price:  $125.00 $95.00 
MAA Member Price:  $112.50 $85.50 
AMS Member Price:  $100.00 $76.00 

Book DetailsColloquium PublicationsVolume: 17; 1934; 205 ppMSC: Primary 15
It is the organization and presentation of the material, however, which make the peculiar appeal of the book. This is no mere compendium of results—the subject has been completely reworked and the proofs recast with the skill and elegance which come only from years of devotion.
—Bulletin of the American Mathematical Society
The very clear and simple presentation gives the reader easy access to the more difficult parts of the theory.
—Jahrbuch über die Fortschritte der Mathematik
In 1937, the theory of matrices was seventyfive years old. However, many results had only recently evolved from special cases to true general theorems. With the publication of his Colloquium Lectures, Wedderburn provided one of the first great syntheses of the subject. Much of the material in the early chapters is now familiar from textbooks on linear algebra. Wedderburn discusses topics such as vectors, bases, adjoints, eigenvalues and the characteristic polynomials, up to and including the properties of Hermitian and orthogonal matrices. Later chapters bring in special results on commuting families of matrices, functions of matrices—including elements of the differential and integral calculus sometimes known as matrix analysis, and transformations of bilinear forms. The final chapter treats associative algebras, culminating with the wellknown Wedderburn–Artin theorem that simple algebras are necessarily isomorphic to matrix algebras.
Wedderburn ends with an appendix of historical notes on the development of the theory of matrices, and a bibliography that emphasizes the history of the subject.
ReadershipGraduate students and research mathematicians interested in matrices.

Table of Contents

Chapters

Chapter I. Matrices and vectors

Chapter II. Algebraic operations with matrices. The characteristic equation

Chapter III. Invariant factors and elementary divisors

Chapter IV. Vector polynomials. Singular matric polynomials

Chapter V. Compound matrices

Chapter VI. Symmetric, skew, and hermitian matrices

Chapter VII. Commutative matrices

Chapter VIII. Functions of matrices

Chapter IX. The automorphic transformation of a bilinear form

Chapter X. Linear associative algebras


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It is the organization and presentation of the material, however, which make the peculiar appeal of the book. This is no mere compendium of results—the subject has been completely reworked and the proofs recast with the skill and elegance which come only from years of devotion.
—Bulletin of the American Mathematical Society
The very clear and simple presentation gives the reader easy access to the more difficult parts of the theory.
—Jahrbuch über die Fortschritte der Mathematik
In 1937, the theory of matrices was seventyfive years old. However, many results had only recently evolved from special cases to true general theorems. With the publication of his Colloquium Lectures, Wedderburn provided one of the first great syntheses of the subject. Much of the material in the early chapters is now familiar from textbooks on linear algebra. Wedderburn discusses topics such as vectors, bases, adjoints, eigenvalues and the characteristic polynomials, up to and including the properties of Hermitian and orthogonal matrices. Later chapters bring in special results on commuting families of matrices, functions of matrices—including elements of the differential and integral calculus sometimes known as matrix analysis, and transformations of bilinear forms. The final chapter treats associative algebras, culminating with the wellknown Wedderburn–Artin theorem that simple algebras are necessarily isomorphic to matrix algebras.
Wedderburn ends with an appendix of historical notes on the development of the theory of matrices, and a bibliography that emphasizes the history of the subject.
Graduate students and research mathematicians interested in matrices.

Chapters

Chapter I. Matrices and vectors

Chapter II. Algebraic operations with matrices. The characteristic equation

Chapter III. Invariant factors and elementary divisors

Chapter IV. Vector polynomials. Singular matric polynomials

Chapter V. Compound matrices

Chapter VI. Symmetric, skew, and hermitian matrices

Chapter VII. Commutative matrices

Chapter VIII. Functions of matrices

Chapter IX. The automorphic transformation of a bilinear form

Chapter X. Linear associative algebras