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Introduction to Matrices and Vectors

Introduction to Matrices and Vectors Author Jacob T. Schwartz
ISBN-10 0486420000
Release 2001
Pages 163
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Concise undergraduate text focuses on problem solving, rather than elaborate proofs. The first three chapters present the basics of matrices, including addition, multiplication, and division. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. 1961 edition. 20 black-and-white illustrations.



Matrix Vector Analysis

Matrix Vector Analysis Author Richard L. Eisenman
ISBN-10 9780486154572
Release 2013-07-24
Pages 320
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This outstanding text and reference for upper-level undergraduates features extensive problems and solutions in its application of matrix ideas to vector methods for a synthesis of pure and applied mathematics. 1963 edition. Includes 121 figures.



Vector Analysis

Vector Analysis Author Louis Brand
ISBN-10 9780486154848
Release 2012-06-22
Pages 304
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This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.



Vector and Tensor Analysis with Applications

Vector and Tensor Analysis with Applications Author Aleksandr Ivanovich Borisenko
ISBN-10 0486638332
Release 1979
Pages 257
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Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.



Matrices and Linear Algebra

Matrices and Linear Algebra Author Hans Schneider
ISBN-10 9780486139302
Release 2012-06-08
Pages 432
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Basic textbook covers theory of matrices and its applications to systems of linear equations and related topics such as determinants, eigenvalues, and differential equations. Includes numerous exercises.



Matrices and Linear Transformations

Matrices and Linear Transformations Author Charles G. Cullen
ISBN-10 9780486132419
Release 2012-09-20
Pages 336
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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.



Applications of the Theory of Matrices

Applications of the Theory of Matrices Author F. R. Gantmacher
ISBN-10 9780486445540
Release 2005
Pages 317
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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.



Vector Calculus

Vector Calculus Author P. R. Baxandall
ISBN-10 0486466205
Release 2008-07
Pages 550
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This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.



Introduction to Vector and Tensor Analysis

Introduction to Vector and Tensor Analysis Author Robert C. Wrede
ISBN-10 9780486137117
Release 2013-01-30
Pages 418
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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.



Introduction to Matrix Analysis

Introduction to Matrix Analysis Author Richard Bellman
ISBN-10 1611971179
Release 1997-12-01
Pages 403
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Long considered to be a classic in its field, this was the first book in English to include three basic fields of the analysis of matrices -- symmetric matrices and quadratic forms, matrices and differential equations, and positive matrices and their use in probability theory and mathematical economics. Written in lucid, concise terms, this volume covers all the key aspects of matrix analysis and presents a variety of fundamental methods. Originally published in 1970, this book replaces the first edition previously published by SIAM in the Classics series. Here you will find a basic guide to operations with matrices and the theory of symmetric matrices, plus an understanding of general square matrices, origins of Markov matrices and non-negative matrices in general, minimum- maximum characterization of characteristic roots, Krnoecker products, functions of matrices, and much more. These ideas and methods will serve as powerful analytical tools. In addition, this volume includes exercises of all levels of difficulty and many references to original papers containing further results. The problem sections contain many useful and interesting results that are not easily found elsewhere. A discussion of the theoretical treatment of matrices in the computational solution of ordinary and partial differential equations, as well as important chapters on dynamic programming and stochastic matrices are also included.



Linear Algebra

Linear Algebra Author Georgi E. Shilov
ISBN-10 9780486135045
Release 2012-04-26
Pages 387
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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, and more.



Matrices and Transformations

Matrices and Transformations Author Anthony J. Pettofrezzo
ISBN-10 9780486151809
Release 2012-05-04
Pages 144
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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.



Introduction to Linear Algebra and Differential Equations

Introduction to Linear Algebra and Differential Equations Author John W. Dettman
ISBN-10 0486651916
Release 1986
Pages 404
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Excellent introductory text for students with one year of calculus. Topics include complex numbers, determinants, orthonormal bases, symmetric and hermitian matrices, first order non-linear equations, linear differential equations, Laplace transforms, Bessel functions and boundary-value problems. Includes 48 black-and-white illustrations. Exercises with solutions. Index.



An Introduction to Linear Algebra

An Introduction to Linear Algebra Author L. Mirsky
ISBN-10 9780486166445
Release 2012-12-03
Pages 464
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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.



The Theory of Matrices in Numerical Analysis

The Theory of Matrices in Numerical Analysis Author Alston S. Householder
ISBN-10 9780486145631
Release 2013-06-18
Pages 272
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This text presents selected aspects of matrix theory that are most useful in developing computational methods for solving linear equations and finding characteristic roots. Topics include norms, bounds and convergence; localization theorems; more. 1964 edition.



Lectures on Linear Algebra

Lectures on Linear Algebra Author I. M. Gelfand
ISBN-10 0486660826
Release 1989
Pages 185
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Prominent Russian mathematician's concise, well-written exposition considers n-dimensional spaces, linear and bilinear forms, linear transformations, canonical form of an arbitrary linear transformation, and an introduction to tensors. While not designed as an introductory text, the book's well-chosen topics, brevity of presentation, and the author's reputation will recommend it to all students, teachers, and mathematicians working in this sector.



Special Matrices and Their Applications in Numerical Mathematics

Special Matrices and Their Applications in Numerical Mathematics Author Miroslav Fiedler
ISBN-10 9780486783482
Release 2013-12-01
Pages 384
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This revised and corrected second edition of a classic on special matrices provides researchers in numerical linear algebra and students of general computational mathematics with an essential reference. 1986 edition.