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Linear Algebra And Matrix Theory

Author: Robert R. Stoll
Publisher: Courier Corporation
ISBN: 0486265218
Size: 19.62 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: 44.92 MB
Format: PDF, ePub, Docs
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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
Size: 77.91 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: 65.27 MB
Format: PDF, 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.

Matrix Theory

Author: Fuzhen Zhang
Publisher: Springer Science & Business Media
ISBN: 1475757972
Size: 23.94 MB
Format: PDF, ePub
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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.

A Survey Of Matrix Theory And Matrix Inequalities

Author: Marvin Marcus
Publisher: Courier Corporation
ISBN: 9780486671024
Size: 69.64 MB
Format: PDF, Kindle
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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 A Second Course

Author: James M. Ortega
Publisher: Springer Science & Business Media
ISBN: 1489904719
Size: 15.17 MB
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Linear algebra and matrix theory are essentially synonymous terms for an area of mathematics that has become one of the most useful and pervasive tools in a wide range of disciplines. It is also a subject of great mathematical beauty. In consequence of both of these facts, linear algebra has increasingly been brought into lower levels of the curriculum, either in conjunction with the calculus or separate from it but at the same level. A large and still growing number of textbooks has been written to satisfy this need, aimed at students at the junior, sophomore, or even freshman levels. Thus, most students now obtaining a bachelor's degree in the sciences or engineering have had some exposure to linear algebra. But rarely, even when solid courses are taken at the junior or senior levels, do these students have an adequate working knowledge of the subject to be useful in graduate work or in research and development activities in government and industry. In particular, most elementary courses stop at the point of canonical forms, so that while the student may have "seen" the Jordan and other canonical forms, there is usually little appreciation of their usefulness. And there is almost never time in the elementary courses to deal with more specialized topics like nonnegative matrices, inertia theorems, and so on. In consequence, many graduate courses in mathematics, applied mathe matics, or applications develop certain parts of matrix theory as needed.