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Author: Publisher: BRILL ISBN: 9401201293 Category : History Languages : en Pages : 314
Book Description
The Matrix trilogy continues to split opinions widely, polarising the downright dismissive and the wildly enthusiastic. Nevertheless, it has been fully embraced as a rich source of theoretical and cultural references. The contributions in this volume probe the effects the Matrix trilogy continues to provoke and evaluate how or to what extent they coincide with certain developments within critical and cultural theory. Is the enthusiastic philosophising and theorising spurred by the Matrix a sign of the desperate state theory is in, in the sense of “see how low theory (or ‘post-theory’) has sunk”? Or could the Matrix be one of the “master texts” for something like a renewal for theory as now being mainly concerned with new and changing relations between science, technology, posthumanist culture, art, politics, ethics and the media? The present volume is unashamedly but not dogmatically theoretical even though there is not much agreement about what kind of theory is best suited to confront “post-theoretical” times. But it is probably fair to say that there is agreement about one thing, namely that if theory appears to be “like” the Matrix today it does so because the culture around it and which “made” it itself seems to be captured in some kind of Matrix. The only way out of this is through more and renewed, refreshed theorising, not less.
Author: Publisher: BRILL ISBN: 9401201293 Category : History Languages : en Pages : 314
Book Description
The Matrix trilogy continues to split opinions widely, polarising the downright dismissive and the wildly enthusiastic. Nevertheless, it has been fully embraced as a rich source of theoretical and cultural references. The contributions in this volume probe the effects the Matrix trilogy continues to provoke and evaluate how or to what extent they coincide with certain developments within critical and cultural theory. Is the enthusiastic philosophising and theorising spurred by the Matrix a sign of the desperate state theory is in, in the sense of “see how low theory (or ‘post-theory’) has sunk”? Or could the Matrix be one of the “master texts” for something like a renewal for theory as now being mainly concerned with new and changing relations between science, technology, posthumanist culture, art, politics, ethics and the media? The present volume is unashamedly but not dogmatically theoretical even though there is not much agreement about what kind of theory is best suited to confront “post-theoretical” times. But it is probably fair to say that there is agreement about one thing, namely that if theory appears to be “like” the Matrix today it does so because the culture around it and which “made” it itself seems to be captured in some kind of Matrix. The only way out of this is through more and renewed, refreshed theorising, not less.
Author: Robert R. Stoll Publisher: Courier Corporation ISBN: 0486623181 Category : Mathematics Languages : en Pages : 290
Book Description
Advanced undergraduate and first-year graduate students have long regarded this text as one of the best available works on matrix theory in the context of modern algebra. Teachers and students will find it particularly suited to bridging the gap between ordinary undergraduate mathematics and completely abstract mathematics. The first five chapters treat topics important to economics, psychology, statistics, physics, and mathematics. Subjects include equivalence relations for matrixes, postulational approaches to determinants, and bilinear, quadratic, and Hermitian forms in their natural settings. The final chapters apply chiefly to students of engineering, physics, and advanced mathematics. They explore groups and rings, canonical forms for matrixes with respect to similarity via representations of linear transformations, and unitary and Euclidean vector spaces. Numerous examples appear throughout the text.
Author: Fuzhen Zhang Publisher: Springer Science & Business Media ISBN: 1475757972 Category : Mathematics Languages : en Pages : 290
Book Description
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.
Author: Joel N. Franklin Publisher: Courier Corporation ISBN: 0486136388 Category : Mathematics Languages : en Pages : 319
Book Description
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.
Author: Jinho Baik Publisher: American Mathematical Soc. ISBN: 0821848410 Category : Combinatorial analysis Languages : en Pages : 461
Book Description
Over the last fifteen years a variety of problems in combinatorics have been solved in terms of random matrix theory. More precisely, the situation is as follows: the problems at hand are probabilistic in nature and, in an appropriate scaling limit, it turns out that certain key quantities associated with these problems behave statistically like the eigenvalues of a (large) random matrix. Said differently, random matrix theory provides a “stochastic special function theory” for a broad and growing class of problems in combinatorics. The goal of this book is to analyze in detail two key examples of this phenomenon, viz., Ulam's problem for increasing subsequences of random permutations and domino tilings of the Aztec diamond. Other examples are also described along the way, but in less detail. Techniques from many different areas in mathematics are needed to analyze these problems. These areas include combinatorics, probability theory, functional analysis, complex analysis, and the theory of integrable systems. The book is self-contained, and along the way we develop enough of the theory we need from each area that a general reader with, say, two or three years experience in graduate school can learn the subject directly from the text.
Author: László Erdős Publisher: American Mathematical Soc. ISBN: 1470436485 Category : Random matrices Languages : en Pages : 226
Book Description
A co-publication of the AMS and the Courant Institute of Mathematical Sciences at New York University This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality. This manuscript has been developed and continuously improved over the last five years. The authors have taught this material in several regular graduate courses at Harvard, Munich, and Vienna, in addition to various summer schools and short courses. Titles in this series are co-published with the Courant Institute of Mathematical Sciences at New York University.
Author: Marvin Marcus Publisher: Courier Corporation ISBN: 9780486671024 Category : Mathematics Languages : en Pages : 212
Book Description
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.
Author: Arindama Singh Publisher: Springer Nature ISBN: 303080481X Category : Mathematics Languages : en Pages : 199
Book Description
This book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. Along with Gauss-Jordan elimination for linear systems, it also discusses best approximations and least-squares solutions. The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner. Each section of the book has exercises to reinforce the concepts, and problems have been added at the end of each chapter. Most of these problems are theoretical, and they do not fit into the running text linearly. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in senior undergraduate and beginning postgraduate mathematics courses.
Author: Leonard E. Fuller Publisher: Courier Dover Publications ISBN: 0486822621 Category : Mathematics Languages : en Pages : 256
Book Description
Written as a guide to using matrices as a mathematical tool, this text is geared toward physical and social scientists, engineers, economists, and others who require a model for procedure rather than an exposition of theory. Knowledge of elementary algebra is the only mathematical prerequisite. Detailed numerical examples illustrate the treatment's focus on computational methods. The first four chapters outline the basic concepts of matrix theory. Topics include the development of the concept of elementary operations and a systematic procedure for simplifying matrices as well as a method for evaluating the determinant of a given square matrix. Subsequent chapters explore important numerical procedures, including the process for approximating characteristic roots and vectors plus direct and iterative methods for inverting matrices and solving systems of equations. Solutions to the problems are included.
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Author: Robert R. Stoll
Author: Fuzhen Zhang
Author: Joel N. Franklin
Author: Jinho Baik
Author: László Erdős
Author: Marvin Marcus
Author: Arindama Singh
Author: Philip J. Davis
Author: Leonard E. Fuller