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Author: David J. Saltman
Publisher: American Mathematical Soc.
ISBN: 9780821889381
Category : Mathematics
Languages : en
Pages : 132
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Book Description
This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this "classical" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.
Author: David J. Saltman
Publisher: American Mathematical Soc.
ISBN: 9780821889381
Category : Mathematics
Languages : en
Pages : 132
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Book Description
This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this "classical" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.
Author: David J. Saltman
Publisher: American Mathematical Soc.
ISBN: 0821809792
Category : Mathematics
Languages : en
Pages : 130
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Book Description
This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this ""classical"" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics.
Author: J. H. M. Wedderburn
Publisher: American Mathematical Soc.
ISBN: 0821846108
Category : Mathematics
Languages : en
Pages : 218
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Book Description
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 uber die Fortschritte der Mathematik In 1937, the theory of matrices was seventy-five 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 well-known 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.
Author: William Elliott Jenner
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 148
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Book Description
Author: André Weil
Publisher:
ISBN:
Category : Algebraic fields
Languages : en
Pages : 252
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Book Description
Author: Aleks Kleyn
Publisher: CreateSpace
ISBN: 9781499324006
Category : Mathematics
Languages : en
Pages : 108
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Book Description
In this book I treat linear maps of vector space over division ring. The set of linear maps of left vector space over division ring D is right vector space over division ring D. The concept of twin representations follows from the joint consideration of vector space V and vector space of linear transformations of the vector space V. Considering of twin representations of division ring in Abelian group leads to the concept of D-vector space and their linear map. Based on polylinear map I considered definition of tensor product of rings and tensor product of D-vector spaces.
Author: Bewick BRIDGE
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 256
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Book Description
Author: Paul Dubreil
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 386
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Book Description
Author: John Wesley Young
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 280
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Book Description
Author: Leonard Eugene Dickson
Publisher:
ISBN:
Category : Algebras, Linear
Languages : en
Pages : 28
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Book Description
