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A Survey Of Matrix Theory And Matrix Inequalities

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 9780486671024
Size: 10.24 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.

Matrix Theory

Author: Joel N. Franklin
Publisher: Courier Corporation
ISBN: 0486136388
Size: 49.56 MB
Format: PDF, ePub, Docs
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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.

Applications Of The Theory Of Matrices

Author: F. R. Gantmacher
Publisher: Courier Corporation
ISBN: 0486445542
Size: 76.98 MB
Format: PDF, ePub, Mobi
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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.

Introduction To Linear Algebra

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 9780486656953
Size: 61.25 MB
Format: PDF
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Rigorous, self-contained introduction at undergraduate level covers vector spaces and linear transformations, linear equations and determinants, characteristic roots. Includes 16 sets of true-false quizzes and exercises — with worked-out solutions — a complete theory of permutations and much more.

Elementary Matrix Theory

Author: Howard Eves
Publisher: Courier Corporation
ISBN: 0486150275
Size: 53.27 MB
Format: PDF, Mobi
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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

Author: Denis Serre
Publisher: Springer Science & Business Media
ISBN: 9781441976833
Size: 77.45 MB
Format: PDF
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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.

Analytic Inequalities

Author: Nicholas D. Kazarinoff
Publisher: Courier Corporation
ISBN: 0486798178
Size: 55.17 MB
Format: PDF
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Mathematical analysis is largely a systematic study and exploration of inequalities — but for students the study of inequalities often remains a foreign country, difficult of access. This book is a passport to that country, offering a background on inequalities that will prepare undergraduates (and even high school students) to cope with the concepts of continuity, derivative, and integral. Beginning with explanations of the algebra of inequalities and conditional inequalities, the text introduces a pair of ancient theorems and their applications. Explorations of inequalities and calculus cover the number e, examples from the calculus, and approximations by polynomials. The final sections present modern theorems, including Bernstein's proof of the Weierstrass approximation theorem and the Cauchy, Bunyakovskii, Hölder, and Minkowski inequalities. Numerous figures, problems, and examples appear throughout the book, offering students an excellent foundation for further studies of calculus.

Mathematics For Operations Research

Author: W. H. Marlow
Publisher: Courier Corporation
ISBN: 0486677230
Size: 47.37 MB
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Practical and applications-oriented, this text explains effective procedures for performing mathematical tasks that arise in many fields, including operations research, engineering, systems sciences, statistics, and economics. Most of the examples and many of the 1,300 problems illustrate techniques, and nearly all of the tables display reference material for procedures. 1978 edition.

Linear Algebra And Matrix Theory

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486265218
Size: 27.87 MB
Format: PDF, Kindle
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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.

The Malliavin Calculus

Author: Denis R. Bell
Publisher: Courier Corporation
ISBN: 0486152057
Size: 67.28 MB
Format: PDF
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This introductory text presents detailed accounts of the different forms of the theory developed by Stroock and Bismut, discussions of the relationship between these two approaches, and a variety of applications. 1987 edition.