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Author: C. E. Cullis
Publisher: Cambridge University Press
ISBN: 1107655552
Category : Mathematics
Languages : en
Pages : 445
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Book Description
This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations.
Author: C. E. Cullis
Publisher: Cambridge University Press
ISBN: 1107655552
Category : Mathematics
Languages : en
Pages : 445
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Book Description
This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations.
Author: C. E. Cullis
Publisher: Cambridge University Press
ISBN: 110762083X
Category : Mathematics
Languages : en
Pages : 581
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Book Description
This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The second volume contains further developments of the general theory, including a discussion of matrix equations of the second degree.
Author: Cuthbert Edmund Cullis
Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 712
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Book Description
Author: Raf Vandebril
Publisher: JHU Press
ISBN: 0801896797
Category : Mathematics
Languages : en
Pages : 594
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Book Description
In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Author:
Publisher:
ISBN:
Category : Electronic journals
Languages : en
Pages : 556
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Book Description
Includes section "Recent publications."
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 : Libraries
Languages : en
Pages : 516
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Book Description
Author: Florian Cajori
Publisher: Courier Corporation
ISBN: 0486161161
Category : Mathematics
Languages : en
Pages : 865
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Book Description
This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.
Author: London Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 588
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Book Description
"Papers presented to J. E. Littlewood on his 80th birthday" issued as 3d ser., v. 14 A, 1965.
Author: Leo Dorst
Publisher: Springer Science & Business Media
ISBN: 146120089X
Category : Mathematics
Languages : en
Pages : 479
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Book Description
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.
