matrix theory dover books on mathematics

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Matrix Theory

Author : Joel N. Franklin
ISBN : 9780486136387
Genre : Mathematics
File Size : 66. 91 MB
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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.

Basic Matrix Theory

Author : Leonard E. Fuller
ISBN : 9780486818467
Genre : Mathematics
File Size : 27. 62 MB
Format : PDF
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This guide to using matrices as a mathematical tool offers a model for procedure rather than an exposition of theory. Detailed examples illustrate the focus on computational methods. 1962 edition.

Linear Algebra And Matrix Theory

Author : Robert R. Stoll
ISBN : 9780486265216
Genre : Mathematics
File Size : 39. 33 MB
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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.

A Survey Of Matrix Theory And Matrix Inequalities

Author : Marvin Marcus
ISBN : 048667102X
Genre : Mathematics
File Size : 23. 58 MB
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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.

Introduction To Modern Algebra And Matrix Theory

Author : O. Schreier
ISBN : 9780486278650
Genre : Mathematics
File Size : 71. 17 MB
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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.

Applications Of The Theory Of Matrices

Author : F. R. Gantmacher
ISBN : 9780486445540
Genre : Mathematics
File Size : 73. 72 MB
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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.

Elementary Matrix Theory

Author : Howard Eves
ISBN : 9780486150277
Genre : Mathematics
File Size : 73. 91 MB
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Concrete treatment of fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, and similarity and congruence. Each chapter has many excellent problems and optional related information. No previous course in abstract algebra required.

Matrices And Linear Algebra

Author : Hans Schneider
ISBN : 9780486139302
Genre : Mathematics
File Size : 52. 48 MB
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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

Author : Denis Serre
ISBN : 1441976833
Genre : Mathematics
File Size : 38. 74 MB
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In this book, Denis Serre begins by providing a clean and concise introduction to the basic theory of matrices. He then goes on to give many interesting applications of matrices to different aspects of mathematics and also other areas of science and engineering. With forty percent new material, this second edition is significantly different from the first edition. Newly added topics include: • Dunford decomposition, • tensor and exterior calculus, polynomial identities, • regularity of eigenvalues for complex matrices, • functional calculus and the Dunford–Taylor formula, • numerical range, • Weyl's and von Neumann’s inequalities, and • Jacobi method with random choice. The book mixes together algebra, analysis, complexity theory and numerical analysis. As such, this book will provide many scientists, not just mathematicians, with a useful and reliable reference. It is intended for advanced undergraduate and graduate students with either applied or theoretical goals. This book is based on a course given by the author at the École Normale Supérieure de Lyon.

Matrices And Transformations

Author : Anthony J. Pettofrezzo
ISBN : 9780486151809
Genre : Mathematics
File Size : 43. 20 MB
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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.

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