Author: Mayme Irwin Logsdon
Publisher:
ISBN:
Category : Forms (Mathematics).
Languages : en
Pages : 24

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Book Description

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:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 628

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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 592

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Book Description

Author: Leonard Dickson
Publisher: Courier Corporation
ISBN: 048615520X
Category : Mathematics
Languages : en
Pages : 241

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Book Description
This in-depth introduction to classical topics in higher algebra provides rigorous, detailed proofs for its explorations of some of mathematics' most significant concepts, including matrices, invariants, and groups. Algebraic Theories studies all of the important theories; its extensive offerings range from the foundations of higher algebra and the Galois theory of algebraic equations to finite linear groups (including Klein's "icosahedron" and the theory of equations of the fifth degree) and algebraic invariants. The full treatment includes matrices, linear transformations, elementary divisors and invariant factors, and quadratic, bilinear, and Hermitian forms, both singly and in pairs. The results are classical, with due attention to issues of rationality. Elementary divisors and invariant factors receive simple, natural introductions in connection with the classical form and a rational, canonical form of linear transformations. All topics are developed with a remarkable lucidity and discussed in close connection with their most frequent mathematical applications.

Author: American Mathematical Society
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 570

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Book Description
Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.

Author:
Publisher:
ISBN:
Category : Mathematicians
Languages : en
Pages : 504

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Book Description
Includes section "Recent publications."

Author: University of Chicago
Publisher:
ISBN:
Category :
Languages : en
Pages : 256

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Book Description
1897/98 includes summaries for 1891 to 1897.

Author: Gabriele Kass-Simon
Publisher: Indiana University Press
ISBN: 9780253208132
Category : Science
Languages : en
Pages : 422

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Book Description
Women of Science is a collection of essays dealing with contributions women have made to various scientific disciplines, written by women scientists in those disciplines. The areas covered are: astronomy, archaeology, biology, chemistry, crystallography, engineering, geology, mathematics, medicine, and physics. The women who have written these essays are, for the most part, not professional historians, but rather scientific professionals who felt the necessity of researching the contributions women have made to the devlopment of their fields. The essays are unique, not only because they recover lost women who made significant contributions to their disciplines, but also because they are written with a depth of understanding that only a scientist working in a specific area can have. The essays will be of interest not only to students (especially women students) of science who may be unaware of the many contributions women have made, but also to readers of the history of science whoses texts more often than not fail to include the work of most women scientists.

Author: University of Chicago
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 146

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Book Description