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