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Linear Algebra And Matrix Theory

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486265218
Size: 48.43 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.

Linear Algebra And Matrix Theory

Author: Jimmie Gilbert
Publisher: Elsevier
ISBN: 0080510256
Size: 46.67 MB
Format: PDF, Mobi
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Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the Jordan form. The authors approach their subject in a comprehensive and accessible manner, presenting notation and terminology clearly and concisely, and providing smooth transitions between topics. The examples and exercises are well designed and will aid diligent students in understanding both computational and theoretical aspects. In all, the straightest, smoothest path to the heart of linear algebra. * Special Features: * Provides complete coverage of central material. * Presents clear and direct explanations. * Includes classroom tested material. * Bridges the gap from lower division to upper division work. * Allows instructors alternatives for introductory or second-level courses.

Linear Algebra And Matrix Theory

Author: Evar D. Nering
Publisher:
ISBN:
Size: 78.85 MB
Format: PDF, Mobi
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Vector spaces; Linear transformations and matrices; Determinants, eigenvalues, and similarity transformations; Linear functionals, Bilinear forms, quadratic forms; Orthogonal and unitary transformations, normal matrices; Selected applications of linear algebra; Appendix; Index.

Introduction To Modern Algebra And Matrix Theory

Author: O. Schreier
Publisher: Courier Corporation
ISBN: 0486278654
Size: 37.28 MB
Format: PDF, ePub, Mobi
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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.

A Survey Of Matrix Theory And Matrix Inequalities

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 048667102X
Size: 77.89 MB
Format: PDF, ePub
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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: Fuzhen Zhang
Publisher: Springer Science & Business Media
ISBN: 1475757972
Size: 67.78 MB
Format: PDF, ePub, Mobi
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This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.

Linear Algebra And Matrix Analysis For Statistics

Author: Sudipto Banerjee
Publisher: CRC Press
ISBN: 1420095382
Size: 10.15 MB
Format: PDF, ePub, Mobi
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Linear Algebra and Matrix Analysis for Statistics offers a gradual exposition to linear algebra without sacrificing the rigor of the subject. It presents both the vector space approach and the canonical forms in matrix theory. The book is as self-contained as possible, assuming no prior knowledge of linear algebra. The authors first address the rudimentary mechanics of linear systems using Gaussian elimination and the resulting decompositions. They introduce Euclidean vector spaces using less abstract concepts and make connections to systems of linear equations wherever possible. After illustrating the importance of the rank of a matrix, they discuss complementary subspaces, oblique projectors, orthogonality, orthogonal projections and projectors, and orthogonal reduction. The text then shows how the theoretical concepts developed are handy in analyzing solutions for linear systems. The authors also explain how determinants are useful for characterizing and deriving properties concerning matrices and linear systems. They then cover eigenvalues, eigenvectors, singular value decomposition, Jordan decomposition (including a proof), quadratic forms, and Kronecker and Hadamard products. The book concludes with accessible treatments of advanced topics, such as linear iterative systems, convergence of matrices, more general vector spaces, linear transformations, and Hilbert spaces.

Matrix Theory

Author: Joel N. Franklin
Publisher: Courier Corporation
ISBN: 0486136388
Size: 35.16 MB
Format: PDF, ePub, Mobi
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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.