Matrix Vector Analysis

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Author: Richard L. Eisenman

Publisher: Courier Corporation

ISBN: 0486154572

Category: Mathematics

Page: 320

View: 3144

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.

The Theory of Matrices in Numerical Analysis

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Author: Alston S. Householder

Publisher: Courier Corporation

ISBN: 0486145638

Category: Mathematics

Page: 272

View: 8804

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.

Introduction to Matrices and Vectors

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Author: Jacob T. Schwartz

Publisher: Courier Corporation

ISBN: 9780486420004

Category: Mathematics

Page: 163

View: 534

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.

Matrices and Linear Algebra

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Author: Hans Schneider,George Phillip Barker

Publisher: Courier Corporation

ISBN: 0486139301

Category: Mathematics

Page: 432

View: 1200

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.

Introduction to Vector and Tensor Analysis

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Author: Robert C. Wrede

Publisher: Courier Corporation

ISBN: 0486137112

Category: Mathematics

Page: 418

View: 2432

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.

Matrices and Linear Transformations

Second Edition

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Author: Charles G. Cullen

Publisher: Courier Corporation

ISBN: 0486132412

Category: Mathematics

Page: 336

View: 5350

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.

Tensor Analysis for Physicists

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Author: Jan Arnoldus Schouten

Publisher: Courier Corporation

ISBN: 0486655822

Category: Science

Page: 277

View: 5183

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.

Vector and Tensor Analysis with Applications

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Author: Aleksandr Ivanovich Borisenko,Ivan Evgen?evich Tarapov

Publisher: Courier Corporation

ISBN: 9780486638331

Category: Mathematics

Page: 257

View: 6284

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.

Kronecker Products and Matrix Calculus with Applications

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Author: Alexander Graham

Publisher: Courier Dover Publications

ISBN: 0486824179

Category: Mathematics

Page: 144

View: 9893

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.

Matrix Theory

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Author: Joel N. Franklin

Publisher: Courier Corporation

ISBN: 0486136388

Category: Mathematics

Page: 304

View: 997

Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.

An Introduction to Linear Algebra and Tensors

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Author: M. A. Akivis,V. V. Goldberg

Publisher: Courier Corporation

ISBN: 0486148785

Category: Mathematics

Page: 192

View: 2844

Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

Lectures on Linear Algebra

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Author: I. M. Gelfand

Publisher: Courier Corporation

ISBN: 9780486660820

Category: Mathematics

Page: 185

View: 7082

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.

Introduction to Vectors and Tensors

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Author: Ray M. Bowen,Chao-cheng Wang

Publisher: Courier Corporation

ISBN: 048646914X

Category: Mathematics

Page: 520

View: 2904

This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition.

Vector Spaces and Matrices

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Author: Robert M. Thrall,Leonard Tornheim

Publisher: Courier Corporation

ISBN: 0486321053

Category: Mathematics

Page: 336

View: 8630

Students receive the benefits of axiom-based mathematical reasoning as well as a grasp of concrete formulations. Suitable as a primary or supplementary text for college-level courses in linear algebra. 1957 edition.

Vektoranalysis

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Author: Klaus Jänich

Publisher: Springer-Verlag

ISBN: 366210752X

Category: Mathematics

Page: 276

View: 403

Die Vektoranalysis handelt, in klassischer Darstellung, von Vektorfeldern, den Operatoren Gradient, Divergenz und Rotation, von Linien-, Flächen- und Volumenintegralen und von den Integralsätzen von Gauß, Stokes und Green. In moderner Fassung ist es der Cartansche Kalkül mit dem Satz von Stokes. Das vorliegende Buch vertritt grundsätzlich die moderne Herangehensweise, geht aber auch sorgfältig auf die klassische Notation und Auffassung ein. Das Buch richtet sich an Mathematik- und Physikstudenten ab dem zweiten Studienjahr, die mit den Grundbegriffen der Differential- und Integralrechnung in einer und mehreren Variablen sowie der Topologie vertraut sind. Der sehr persönliche Stil des Autors und die aus anderen Büchern bereits bekannten Lernhilfen, wie: viele Figuren, mehr als 50 kommentierte Übungsaufgaben, über 100 Tests mit Antworten machen, auch diesen Text zum Selbststudium hervorragend geeignet.

Methods of Applied Mathematics

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Author: Francis B. Hildebrand

Publisher: Courier Corporation

ISBN: 0486138380

Category: Science

Page: 362

View: 4948

Offering a number of mathematical facts and techniques not commonly treated in courses in advanced calculus, this book explores linear algebraic equations, quadratic and Hermitian forms, the calculus of variations, more.

Vector Methods Applied to Differential Geometry, Mechanics, and Potential Theory

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Author: D. E. Rutherford

Publisher: Courier Corporation

ISBN: 9780486439037

Category: Mathematics

Page: 135

View: 9058

Designed to familiarize undergraduates with the methods of vector algebra and vector calculus, this text offers both a clear view of the abstract theory as well as a concise survey of the theory's applications to various branches of pure and applied mathematics. A chapter on differential geometry introduces readers to the study of this subject by the methods of vector algebra. The next section explores the many aspects of the theory of mechanics adaptable to the use of vectors, and a full discussion of the vector operator "nabla" proceeds to a treatment of potential theory and Laplace's equation. This includes applications to the theories of gravitation, hydrodynamics, and electricity. A brief chapter on four-dimensional vectors concludes the text.

Tensor Analysis on Manifolds

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Author: Richard L. Bishop,Samuel I. Goldberg

Publisher: Courier Corporation

ISBN: 0486139239

Category: Mathematics

Page: 288

View: 3619

DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Fundamentals of Scientific Mathematics

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Author: George E. Owen

Publisher: Courier Corporation

ISBN: 0486164586

Category: Mathematics

Page: 288

View: 2201

Offering undergraduates a solid mathematical background (and functioning equally well for independent study), this rewarding, beautifully illustrated text covers geometry and matrices, vector algebra, analytic geometry, functions, and differential and integral calculus. 1961 edition.

A Survey of Matrix Theory and Matrix Inequalities

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Author: Marvin Marcus,Henryk Minc

Publisher: Courier Corporation

ISBN: 9780486671024

Category: Mathematics

Page: 180

View: 8656

Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.