an introduction to the theory of canonical matrices dover books on mathematics

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An Introduction To The Theory Of Canonical Matrices

Author : H. W. Turnbull
ISBN : 9780486153469
Genre : Mathematics
File Size : 39. 12 MB
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Elementary transformations and bilinear and quadratic forms; canonical reduction of equivalent matrices; subgroups of the group of equivalent transformations; and rational and classical canonical forms. 1952 edition. 275 problems.

An Introduction To Matrices Sets And Groups For Science Students

Author : G. Stephenson
ISBN : 9780486809168
Genre : Mathematics
File Size : 81. 82 MB
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This outstanding text offers undergraduate students of physics, chemistry, and engineering a concise, readable introduction to matrices, sets, and groups. Concentrating mainly on matrix theory, the book is virtually self-contained, requiring a minimum of mathematical knowledge and providing all the background necessary to develop a thorough comprehension of the subject. Beginning with a chapter on sets, mappings, and transformations, the treatment advances to considerations of matrix algebra, inverse and related matrices, and systems of linear algebraic equations. Additional topics include eigenvalues and eigenvectors, diagonalisation and functions of matrices, and group theory. Each chapter contains a selection of worked examples and many problems with answers, enabling readers to test their understanding and ability to apply concepts.

Matrices And Linear Transformations

Author : Charles G. Cullen
ISBN : 9780486132419
Genre : Mathematics
File Size : 39. 72 MB
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Undergraduate-level introduction to linear algebra and matrix theory. Explores matrices and linear systems, vector spaces, determinants, spectral decomposition, Jordan canonical form, much more. Over 375 problems. Selected answers. 1972 edition.

Linear Algebra And Matrix Theory

Author : Robert R. Stoll
ISBN : 9780486265216
Genre : Mathematics
File Size : 57. 34 MB
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One of the best available works on matrix theory in the context of modern algebra, this text bridges the gap between ordinary undergraduate studies and completely abstract mathematics. 1952 edition.

An Introduction To Linear Algebra

Author : L. Mirsky
ISBN : 9780486166445
Genre : Mathematics
File Size : 55. 97 MB
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Rigorous, self-contained coverage of determinants, vectors, matrices and linear equations, quadratic forms, more. Elementary, easily readable account with numerous examples and problems at the end of each chapter.

Linear Algebra

Author : Georgi? Evgen?evich Shilov
ISBN : 048663518X
Genre : Mathematics
File Size : 52. 33 MB
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Covers determinants, linear spaces, systems of linear equations, linear functions of a vector argument, coordinate transformations, the canonical form of the matrix of a linear operator, bilinear and quadratic forms, Euclidean spaces, unitary spaces, quadratic forms in Euclidean and unitary spaces, finite-dimensional space. Problems with hints and answers.

Theory Of Matrices

Author : Sam Perlis
ISBN : 048666810X
Genre : Mathematics
File Size : 24. 73 MB
Format : PDF
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Useful text focuses on the establishment of the well-known canonical forms. Rank, nonsingularity and inverses are introduced. Congruence and Hermitian congruence treated in detail. Proofs and examples illustrate definitions and theorems. Includes exercises. 1952 edition.

Vector Spaces And Matrices

Author : Robert M. Thrall
ISBN : 9780486321059
Genre : Mathematics
File Size : 75. 81 MB
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Students receive the benefits of axiom-based mathematical reasoning as well as a grasp of concrete formulations. Suitable as a primary or supplementary text for college-level courses in linear algebra. 1957 edition.

Handbook Of Mathematics For Engineers And Scientists

Author : Andrei D. Polyanin
ISBN : 1584885025
Genre : Mathematics
File Size : 42. 7 MB
Format : PDF
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The Handbook of Mathematics for Engineers and Scientists covers the main fields of mathematics and focuses on the methods used for obtaining solutions of various classes of mathematical equations that underlie the mathematical modeling of numerous phenomena and processes in science and technology. To accommodate different mathematical backgrounds, the preeminent authors outline the material in a simplified, schematic manner, avoiding special terminology wherever possible. Organized in ascending order of complexity, the material is divided into two parts. The first part is a coherent survey of the most important definitions, formulas, equations, methods, and theorems. It covers arithmetic, elementary and analytic geometry, algebra, differential and integral calculus, special functions, calculus of variations, and probability theory. Numerous specific examples clarify the methods for solving problems and equations. The second part provides many in-depth mathematical tables, including those of exact solutions of various types of equations. This concise, comprehensive compendium of mathematical definitions, formulas, and theorems provides the foundation for exploring scientific and technological phenomena.

Matrix Theory A Second Course

Author : James M. Ortega
ISBN : 9781489904713
Genre : Mathematics
File Size : 45. 79 MB
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Linear algebra and matrix theory are essentially synonymous terms for an area of mathematics that has become one of the most useful and pervasive tools in a wide range of disciplines. It is also a subject of great mathematical beauty. In consequence of both of these facts, linear algebra has increasingly been brought into lower levels of the curriculum, either in conjunction with the calculus or separate from it but at the same level. A large and still growing number of textbooks has been written to satisfy this need, aimed at students at the junior, sophomore, or even freshman levels. Thus, most students now obtaining a bachelor's degree in the sciences or engineering have had some exposure to linear algebra. But rarely, even when solid courses are taken at the junior or senior levels, do these students have an adequate working knowledge of the subject to be useful in graduate work or in research and development activities in government and industry. In particular, most elementary courses stop at the point of canonical forms, so that while the student may have "seen" the Jordan and other canonical forms, there is usually little appreciation of their usefulness. And there is almost never time in the elementary courses to deal with more specialized topics like nonnegative matrices, inertia theorems, and so on. In consequence, many graduate courses in mathematics, applied mathe matics, or applications develop certain parts of matrix theory as needed.

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