Catalogue of the Printed Books in the Library of the University of Edinburgh PDF Download

Author: Edinburgh University Library
Publisher: Edinburgh : T. and A. Constable
ISBN:
Category : Library catalogs
Languages : en
Pages : 1404

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Category : Engineering
Languages : en
Pages : 1630

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Author: J. H. M. Wedderburn
Publisher: American Mathematical Soc.
ISBN: 0821846108
Category : Mathematics
Languages : en
Pages : 218

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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 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: Henry Sotheran Ltd
Publisher:
ISBN:
Category :
Languages : en
Pages : 536

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Category : American literature
Languages : en
Pages : 2202

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Author: Leo Dorst
Publisher: Springer Science & Business Media
ISBN: 9780817642679
Category : Mathematics
Languages : en
Pages : 510

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Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.

Author:
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Category : English literature
Languages : en
Pages : 792

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A weekly review of politics, literature, theology, and art.

Author: Percy Alexander MacMahon
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 992

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Author: Percy Alexander MacMahon
Publisher: MIT Press (MA)
ISBN:
Category : Mathematics
Languages : en
Pages : 992

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Some of the fifty-six papers in Volume II relate to combinatorics, but most of them investigate quite distinct areas and reveal a different side of MacMahons mind and mathematical originality.

Author: Winfried Bruns
Publisher: Springer
ISBN: 3540392742
Category : Mathematics
Languages : en
Pages : 246

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Determinantal rings and varieties have been a central topic of commutative algebra and algebraic geometry. Their study has attracted many prominent researchers and has motivated the creation of theories which may now be considered part of general commutative ring theory. The book gives a first coherent treatment of the structure of determinantal rings. The main approach is via the theory of algebras with straightening law. This approach suggest (and is simplified by) the simultaneous treatment of the Schubert subvarieties of Grassmannian. Other methods have not been neglected, however. Principal radical systems are discussed in detail, and one section is devoted to each of invariant and representation theory. While the book is primarily a research monograph, it serves also as a reference source and the reader requires only the basics of commutative algebra together with some supplementary material found in the appendix. The text may be useful for seminars following a course in commutative ring theory since a vast number of notions, results, and techniques can be illustrated significantly by applying them to determinantal rings.