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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: 9780486449722
Издательство: Dover
Классификация:
ISBN-10: 0486449726
Обложка/Формат: Paperback
Страницы: 272
Вес: 0.3 кг.
Дата издания: 20.01.2006
Серия: Dover books on mathematics
Язык: English
Иллюстрации: Black & white illustrations
Размер: 215 x 142 x 14
Читательская аудитория: General (us: trade)
Рейтинг:
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.

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.

Автор: Householder, Alston S.
Название: The Theory of Matrices in Numerical Analysis
ISBN: 0486785874 ISBN-13(EAN): 9780486785875
Издательство: Dover
Цена: 3443 р.
Наличие на складе: Поставка под заказ.

Описание: This text explores aspects of matrix theory that are most useful in developing and appraising computational methods for solving systems of linear equations and for finding characteristic roots. Suitable for advanced undergraduates and graduate students, it assumes an understanding of the general principles of matrix algebra, including the Cayley-Hamilton theorem, characteristic roots and vectors, and linear dependence.
An introductory chapter covers the Lanczos algorithm, orthogonal polynomials, and determinantal identities. Succeeding chapters examine norms, bounds, and convergence; localization theorems and other inequalities; and methods of solving systems of linear equations. The final chapters illustrate the mathematical principles underlying linear equations and their interrelationships. Topics include methods of successive approximation, direct methods of inversion, normalization and reduction of the matrix, and proper values and vectors. Each chapter concludes with a helpful set of references and problems.

Introduction to Matrices and Vectors

Автор: Schwartz Jacob T.
Название: Introduction to Matrices and Vectors
ISBN: 0486420000 ISBN-13(EAN): 9780486420004
Издательство: Dover
Рейтинг:
Цена: 2293 р.
Наличие на складе: Поставка под заказ.

Описание: Realizing that matrices can be a confusing topic for the beginner, the author of this undergraduate text has made things as clear as possible by focusing on problem solving, rather than elaborate proofs. He begins with the basics, offering students a solid foundation for the later chapters on using special matrices to solve problems.The first three chapters present the basics of matrices, including addition, multiplication, and division, and give solid practice in the areas of matrix manipulation where the laws of algebra do not apply. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also covers special matrices including complex numbers, quaternion matrices, and matrices with complex entries and transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice in problem solving.
Prerequisites include a background in algebra, and in the later chapters, a knowledge of solid geometry. The book was designed as an introductory text for college freshmen and sophomores, but selected chapters can also be used to supplement advanced high school classes. Professionals who need a better understanding or review of the subject will also benefit from this concise guide."

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.

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.

Elementary Theory and Application of Numerical Analysis: Revised Edition

Автор: Moursund David G.
Название: Elementary Theory and Application of Numerical Analysis: Revised Edition
ISBN: 0486479064 ISBN-13(EAN): 9780486479064
Издательство: Dover
Рейтинг:
Цена: 2868 р.
Наличие на складе: Поставка под заказ.

Описание: This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively small number of basic concepts and techniques. Many exercises appear throughout the text, most with solutions. An extensive tutorial explains how to solve problems with C++.

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.

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.

The Theory of Matrices

Автор: MacDuffee C.
Название: The Theory of Matrices
ISBN: 0486495906 ISBN-13(EAN): 9780486495903
Издательство: Dover
Цена: 4023 р.
Наличие на складе: Поставка под заказ.

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.

An Introduction to Matrices, Sets and Groups for Science Students

Автор: Stephenson G.
Название: An Introduction to Matrices, Sets and Groups for Science Students
ISBN: 0486650774 ISBN-13(EAN): 9780486650777
Издательство: Dover
Цена: 1489 р.
Наличие на складе: Поставка под заказ.

Описание: 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.


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