Introduction to Matrices and Vectors

Author: Jacob T. Schwartz

Publisher: Courier Corporation

ISBN: 9780486420004

Category: Mathematics

Page: 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.

Vector Analysis

Author: Louis Brand

Publisher: Courier Corporation

ISBN: 048615484X

Category: Mathematics

Page: 304

View: 4888

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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.

Matrices and Transformations

Author: Anthony J. Pettofrezzo

Publisher: Courier Corporation

ISBN: 0486151808

Category: Mathematics

Page: 144

View: 7197

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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.

Vector and Tensor Analysis with Applications

Author: Aleksandr Ivanovich Borisenko,Ivan Evgen?evich Tarapov

Publisher: Courier Corporation

ISBN: 9780486638331

Category: Mathematics

Page: 257

View: 1207

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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.

Applications of the Theory of Matrices

Author: F. R. Gantmacher,J.L. Brenner

Publisher: Courier Corporation

ISBN: 0486445542

Category: Mathematics

Page: 317

View: 3710

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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.

A Vector Space Approach to Geometry

Author: Melvin Hausner

Publisher: Courier Corporation

ISBN: 0486137856

Category: Mathematics

Page: 416

View: 981

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This examination of geometry's correlation with other branches of math and science features a review of systematic geometric motivations in vector space theory and matrix theory; more. 1965 edition.

Matrix Vector Analysis

Author: Richard L. Eisenman

Publisher: Courier Corporation

ISBN: 0486154572

Category: Mathematics

Page: 320

View: 1980

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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.

Matrices and Linear Algebra

Author: Hans Schneider,George Phillip Barker

Publisher: Courier Corporation

ISBN: 0486139301

Category: Mathematics

Page: 432

View: 6470

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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.

Vector Geometry

Author: Gilbert de B. Robinson

Publisher: Courier Corporation

ISBN: 0486321045

Category: Mathematics

Page: 192

View: 3789

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Concise undergraduate-level text by a prominent mathematician explores the relationship between algebra and geometry. An elementary course in plane geometry is the sole requirement. Includes answers to exercises. 1962 edition.

Introduction to Vector and Tensor Analysis

Author: Robert C. Wrede

Publisher: Courier Corporation

ISBN: 0486137112

Category: Mathematics

Page: 418

View: 425

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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.

Kronecker Products and Matrix Calculus with Applications

Author: Alexander Graham

Publisher: Courier Dover Publications

ISBN: 0486824179

Category: Mathematics

Page: 144

View: 4909

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Enhanced by many worked examples, problems, and solutions, this in-depth text is suitable for undergraduates and presents a great deal of information previously only available in specialized and hard-to-find texts. 1981 edition.

Linear Algebra and Matrix Theory

Author: Robert R. Stoll

Publisher: Courier Corporation

ISBN: 0486265218

Category: Mathematics

Page: 288

View: 335

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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.

Linear Algebra

Author: Georgi? Evgen?evich Shilov

Publisher: Courier Corporation

ISBN: 9780486635187

Category: Mathematics

Page: 387

View: 8560

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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.

Introduction to Modern Algebra and Matrix Theory

Second Edition

Author: O. Schreier,E. Sperner

Publisher: Courier Corporation

ISBN: 0486278654

Category: Mathematics

Page: 400

View: 5774

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This unique text provides students with a basic course in both calculus and analytic geometry — no competitive editions cover both topics in a single volume. Its prerequisites are minimal, and the order of its presentation promotes an intuitive approach to calculus. Algebraic concepts receive an unusually strong emphasis. Numerous exercises appear throughout the text. 1951 edition.

Matrices and Linear Transformations

Second Edition

Author: Charles G. Cullen

Publisher: Courier Corporation

ISBN: 0486132412

Category: Mathematics

Page: 336

View: 6466

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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.

An Introduction to Linear Algebra

Author: L. Mirsky

Publisher: Courier Corporation

ISBN: 0486166449

Category: Mathematics

Page: 464

View: 7078

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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.

Introduction to Matrix Analysis

Second Edition

Author: Richard Bellman

Publisher: SIAM

ISBN: 9781611971170

Category: Mathematical analysis

Page: 403

View: 7799

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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.

Infinite Matrices and Sequence Spaces

Author: Richard G. Cooke

Publisher: Courier Corporation

ISBN: 048678083X

Category: Mathematics

Page: 368

View: 4187

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Clear, correct summation of basic results on general behavior of infinite matrices features three introductory chapters leading to applications related to summability of divergent sequences and series. Nearly 200 examples. 1950 edition.

The Theory of Matrices in Numerical Analysis

Author: Alston S. Householder

Publisher: Courier Corporation

ISBN: 0486145638

Category: Mathematics

Page: 272

View: 705

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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.

Tensor Analysis for Physicists

Author: Jan Arnoldus Schouten

Publisher: Courier Corporation

ISBN: 0486655822

Category: Science

Page: 277

View: 4838

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This rigorous and advanced mathematical explanation of classic tensor analysis was written by one of the founders of tensor calculus. Its concise exposition of the mathematical basis of the discipline is integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity, and Dirac's matrix calculus. 1954 edition.