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The Theory of Matrices in Numerical Analysis



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Автор: Householder, Alston S.
Название:  The Theory of Matrices in Numerical Analysis
ISBN: 9780486785875
Издательство: Dover
Классификация:
ISBN-10: 0486785874
Обложка/Формат: Hardcover
Страницы: 272
Вес: 0.275 кг.
Серия: Mathematics
Язык: English
Размер: 5 3/8 x 8 1/2
Основная тема: Matrices
Поставляется из: США



Matrices and Transformations

Автор: Pettofrezzo, Anthony J.
Название: Matrices and Transformations
ISBN: 0486636348 ISBN-13(EAN): 9780486636344
Издательство: Dover
Рейтинг:
Цена: 1144 р.
Наличие на складе: Поставка под заказ.

Описание: Elementary, concrete approach: fundamentals of matrix algebra, linear transformation of the plane, application of properties of eigenvalues and eigenvectors to study of conics. Includes proofs of most theorems. Answers to odd-numbered exercises.

Matrices and Linear Algebra

Автор: Schneider, Hans
Название: Matrices and Linear Algebra
ISBN: 0486660141 ISBN-13(EAN): 9780486660141
Издательство: Dover
Рейтинг:
Цена: 2063 р.
Наличие на складе: Поставка под заказ.

Описание:

Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it.
This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations.
Table of Contents:
l. The Algebra of Matrices
2. Linear Equations
3. Vector Spaces
4. Determinants
5. Linear Transformations
6. Eigenvalues and Eigenvectors
7. Inner Product Spaces
8. Applications to Differential Equations
For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.

Автор: E. K. Blum
Название: Numerical Analysis and Computation: Theory and Practice
ISBN: 0486472124 ISBN-13(EAN): 9780486472126
Издательство: Dover
Рейтинг:
Цена: 2868 р.
Наличие на складе: Поставка под заказ.

Описание: In addition to traditional topics in numerical analysis, this text covers modern subjects such as optimal control problems, linear programming, and boundary value problems. Suitable for advanced undergraduate and graduate courses, it is highly relevant to students in a variety of disciplines, including computer science, applied mathematics, and engineering. 1972 edition.

Автор: Moursund, David G.
Название: Elementary Theory and Application of Numerical Analysis: Revised Edition
ISBN: 0486789128 ISBN-13(EAN): 9780486789125
Издательство: Dover
Цена: 5742 р.
Наличие на складе: Поставка под заказ.

Introduction to Matrices and Linear Transformations: Third Edition

Автор: Finkbeiner Daniel
Название: Introduction to Matrices and Linear Transformations: Third Edition
ISBN: 048648159X ISBN-13(EAN): 9780486481593
Издательство: Dover
Рейтинг:
Цена: 2868 р.
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Описание:
This versatile undergraduate text can be used in a variety of courses in linear algebra. It contains enough material for a two-semester course, and it also serves as a support text and reference. Chapter Ten, on linear programming, will be of special interest to students of business and economics. A balanced combination of formal theory and related computational techniques, this treatment begins with the familiar problem of solving a system of linear equations. Subsequent chapters explore linear spaces and mappings, matrices, determinants, inner product spaces, scalar-valued functions, and linear differential equations. The author introduces metric notions of Euclidean space at an early stage and employs the computational technique of Gaussian elimination throughout the book. Solutions to selected exercises appear at the end.

Special Matrices and Their Applications in Numerical Mathematics: Second Edition

Автор: Fiedler Miroslav
Название: Special Matrices and Their Applications in Numerical Mathematics: Second Edition
ISBN: 0486466752 ISBN-13(EAN): 9780486466750
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Поставка под заказ.

Описание: This revised edition of a classic on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential reference. Its final section uses concepts and results of numerical methods explained in the preceding chapters to solve problems of linear algebra. 1986 edition.

An Introduction to the Theory of Canonical Matrices

Автор: Turnbull H.
Название: An Introduction to the Theory of Canonical Matrices
ISBN: 0486441687 ISBN-13(EAN): 9780486441689
Издательство: Dover
Рейтинг:
Цена: 5173 р.
Наличие на складе: Поставка под заказ.

Описание: Thorough and self-contained, this penetrating study of the theory of canonical matrices presents a detailed consideration of all the theory’s principal features. Topics include 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. The final chapters explore several methods of canonical reduction, including those of unitary and orthogonal transformations. 1952 ed. Index. Appendix. Historical notes. Bibliographies. 275 problems.

Автор: Gantmacher, F.
Название: Applications of the Theory of Matrices
ISBN: 0486788539 ISBN-13(EAN): 9780486788531
Издательство: Dover
Цена: 4132 р.
Наличие на складе: Поставка под заказ.

Описание: The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.

Applications of the Theory of Matrices

Автор: Gantmacher F.
Название: Applications of the Theory of Matrices
ISBN: 0486445542 ISBN-13(EAN): 9780486445540
Издательство: Dover
Рейтинг:
Цена: 2063 р.
Наличие на складе: Поставка под заказ.

Описание: The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.

Matrices and linear transformations

Автор: Cullen, Charles G.
Название: Matrices and linear transformations
ISBN: 0486663280 ISBN-13(EAN): 9780486663289
Издательство: Dover
Рейтинг:
Цена: 2063 р.
Наличие на складе: Поставка под заказ.

Описание: "Comprehensive . . . an excellent introduction to the subject." -- "Electronic Engineer's Design Magazine."
This introductory textbook, aimed at sophomore- and junior-level undergraduates in mathematics, engineering, and the physical sciences, offers a smooth, in-depth treatment of linear algebra and matrix theory. The major objects of study are matrices over an arbitrary field.
Contents include Matrices and Linear Systems; Vector Spaces; Determinants; Linear Transformations; Similarity: Part I and Part II; Polynomials and Polynomial Matrices; Matrix Analysis; and Numerical Methods.
The first seven chapters, which require only a first course in calculus and analytic geometry, deal with matrices and linear systems, vector spaces, determinants, linear transformations, similarity, polynomials, and polynomial matrices. Chapters 8 and 9, parts of which require the student to have completed the normal course sequence in calculus and differential equations, provide introductions to matrix analysis and numerical linear algebra, respectively. Among the key features are coverage of spectral decomposition, the Jordan canonical form, the solution of the matrix equation AX = XB, and over 375 problems, many with answers.

Lambda-Matrices and Vibrating Systems

Автор: Lancaster Peter
Название: Lambda-Matrices and Vibrating Systems
ISBN: 0486425460 ISBN-13(EAN): 9780486425467
Издательство: Dover
Рейтинг:
Цена: 1718 р.
Наличие на складе: Поставка под заказ.

Описание:

This text covers several aspects and solutions of the problems of linear vibrating systems with a finite number of degrees of freedom. It offers a detailed account of the part of the theory of matrices necessary for efficient problem-solving, beginning with a focus on developing the necessary tools in matrix theory in the first four chapters. The following chapters present numerical procedures for the relevant matrix formulations and the relevant theory of differential equations.
Directed toward a wide audience of applied mathematicians, scientists, and engineers, this book has much to offer all those interested in problem-solving from both practical and theoretical points of view. The mathematically sound treatment involves readers in a minimum of mathematical abstraction; it assumes a familiarity and facility with matrix theory, along with a knowledge of elementary calculus (including the rudiments of the theory of functions of a complex variable).
Those already engaged in the practical analysis of vibrating systems have the option of proceeding directly to the more applications-oriented material, starting with Chapter 7; however, this comprehensive treatment offers ample background in the early chapters for less experienced readers. New Preface to the Dover Edition. Errata List. Preface. Bibliographical Notes. References. Index.

Circuits, Matrices and Linear Vector Spaces

Автор: Huelsman Lawrence
Название: Circuits, Matrices and Linear Vector Spaces
ISBN: 048648534X ISBN-13(EAN): 9780486485348
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Поставка под заказ.

Описание: This high-level undergraduate text explains the mathematics behind basic circuit theory. Its self-contained treatment covers matrix algebra, which provides a general means of formulating the details of a linear system. In addition, the author presents the basic theory of n-dimensional spaces and demonstrates its application to linear systems.
A development of the mathematics of matrix algebra and determinants is followed by the application of matrix techniques to a general discussion of circuits. Subsequent topics include the properties of active and passive two-port devices, the basic theory of linear vector spaces, and the natural frequencies of a network. Appendixes cover the indefinite-transfer matrix, gyrators with complex gyration admittance, and network transformations. A wealth of equations and calculation problems appear throughout the text.


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