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A Survey of Matrix Theory and Matrix Inequalities

A Survey of Matrix Theory and Matrix Inequalities Author Marvin Marcus
ISBN-10 048667102X
Release 1992
Pages 180
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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.

A Survey of Matrix Theory and Matrix Inequalities

A Survey of Matrix Theory and Matrix Inequalities Author Marvin Marcus
ISBN-10 9780486153063
Release 2014-05-05
Pages 208
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Concise yet comprehensive survey covers broad range of topics: convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, much more. Undergraduate-level. 1969 edition. Bibliography.

A Survey of Matrix Theory and Matrix Inequalities

A Survey of Matrix Theory and Matrix Inequalities Author Marvin Marcus
ISBN-10 UCAL:B4407384
Release 1964
Pages 180
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A Survey of Matrix Theory and Matrix Inequalities has been writing in one form or another for most of life. You can find so many inspiration from A Survey of Matrix Theory and Matrix Inequalities also informative, and entertaining. Click DOWNLOAD or Read Online button to get full A Survey of Matrix Theory and Matrix Inequalities book for free.

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.

Matrix Theory

Matrix Theory Author Joel N. Franklin
ISBN-10 9780486136387
Release 2012-07-31
Pages 304
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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.

Introduction to Linear Algebra

Introduction to Linear Algebra Author Marvin Marcus
ISBN-10 0486656950
Release 1965
Pages 261
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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.


Matrices Author Denis Serre
ISBN-10 1441976833
Release 2010-10-26
Pages 289
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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.

Elementary Matrix Theory

Elementary Matrix Theory Author Howard Eves
ISBN-10 9780486150277
Release 2012-04-30
Pages 352
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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.

Analytic Inequalities

Analytic Inequalities Author Nicholas D. Kazarinoff
ISBN-10 9780486798172
Release 2014-08-19
Pages 96
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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

Mathematics for Operations Research Author W. H. Marlow
ISBN-10 9780486677231
Release 1993
Pages 483
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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.

The Malliavin Calculus

The Malliavin Calculus Author Denis R. Bell
ISBN-10 9780486152059
Release 2012-12-03
Pages 128
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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.

Analysis in Euclidean Space

Analysis in Euclidean Space Author Kenneth Hoffman
ISBN-10 9780486135847
Release 2013-01-16
Pages 448
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Developed for a beginning course in mathematical analysis, this text focuses on concepts, principles, and methods, offering introductions to real and complex analysis and complex function theory. 1975 edition.

Linear Algebra and Matrix Theory

Linear Algebra and Matrix Theory Author Robert R. Stoll
ISBN-10 9780486265216
Release 2013-05-20
Pages 288
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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.

Mathematical Economics

Mathematical Economics Author Kelvin Lancaster
ISBN-10 9780486145044
Release 2012-10-10
Pages 448
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Graduate-level text provides complete and rigorous expositions of economic models analyzed primarily from the point of view of their mathematical properties, followed by relevant mathematical reviews. Part I covers optimizing theory; Parts II and III survey static and dynamic economic models; and Part IV contains the mathematical reviews, which range fromn linear algebra to point-to-set mappings.

The Theory of Matrices

The Theory of Matrices Author Feliks Ruvimovich Gantmakher
ISBN-10 0821813765
Release 1998
Pages 276
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This treatise, by one of Russia's leading mathematicians, gives in easily accessible form a coherent account of matrix theory with a view to applications in mathematics, theoretical physics, statistics, electrical engineering, etc. The individual chapters have been kept as far as possible independent of each other, so that the reader acquainted with the contents of Chapter 1 can proceed immediately to the chapters of special interest. Much of the material has been available until now only in the periodical literature.

Introduction to Modern Algebra and Matrix Theory

Introduction to Modern Algebra and Matrix Theory Author O. Schreier
ISBN-10 9780486278650
Release 2013-05-13
Pages 400
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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.

Theory of Linear and Integer Programming

Theory of Linear and Integer Programming Author Alexander Schrijver
ISBN-10 0471982326
Release 1998-07-07
Pages 484
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Theory of Linear and Integer Programming Alexander Schrijver Centrum voor Wiskunde en Informatica, Amsterdam, The Netherlands This book describes the theory of linear and integer programming and surveys the algorithms for linear and integer programming problems, focusing on complexity analysis. It aims at complementing the more practically oriented books in this field. A special feature is the author's coverage of important recent developments in linear and integer programming. Applications to combinatorial optimization are given, and the author also includes extensive historical surveys and bibliographies. The book is intended for graduate students and researchers in operations research, mathematics and computer science. It will also be of interest to mathematical historians. Contents 1 Introduction and preliminaries; 2 Problems, algorithms, and complexity; 3 Linear algebra and complexity; 4 Theory of lattices and linear diophantine equations; 5 Algorithms for linear diophantine equations; 6 Diophantine approximation and basis reduction; 7 Fundamental concepts and results on polyhedra, linear inequalities, and linear programming; 8 The structure of polyhedra; 9 Polarity, and blocking and anti-blocking polyhedra; 10 Sizes and the theoretical complexity of linear inequalities and linear programming; 11 The simplex method; 12 Primal-dual, elimination, and relaxation methods; 13 Khachiyan's method for linear programming; 14 The ellipsoid method for polyhedra more generally; 15 Further polynomiality results in linear programming; 16 Introduction to integer linear programming; 17 Estimates in integer linear programming; 18 The complexity of integer linear programming; 19 Totally unimodular matrices: fundamental properties and examples; 20 Recognizing total unimodularity; 21 Further theory related to total unimodularity; 22 Integral polyhedra and total dual integrality; 23 Cutting planes; 24 Further methods in integer linear programming; Historical and further notes on integer linear programming; References; Notation index; Author index; Subject index