“A quite thorough and impressive work, not only a compelling defense of materialism but also a fair-minded if highly critical engagement with cultural theory. It isn’t clear how culturalists—especially the anti-Marxist ones—can effectively respond to this broadside, tightly and cogently argued as it is.”—Chris Wright, CounterPunch “Chibber...has developed a sophisticated, elegant, and readable defense of the sociological significance of class structure in understanding and addressing the key problems inherent in capitalism.”—Choice “[A] clear, compelling, and systematic statement of the view that class is an objective reality that predictably and rationally shapes human thought and action, one we need to grapple with seriously if we’re to comprehend contemporary society and its morbid symptoms.”—Jacobin Following the collapse of the Soviet Union, theorists argued that social and economic life is reducible to culture—that our choices reflect interpretations of the world around us rather than the limitations imposed by basic material facts. Today, gross inequalities in wealth and power have pushed scholars to reopen materialist lines of inquiry. But it would be a mistake to pretend that the cultural turn never happened. Vivek Chibber instead engages cultural theory seriously, proposing a fusion of materialism and the most useful insights of its rival. Chibber accommodates the main arguments from the cultural turn within a robust materialist framework, showing how one can agree that the making of meaning plays an important role in social agency while still recognizing the fundamental power of class structure and class formation. He vindicates classical materialism by demonstrating that it accounts for phenomena cultural theorists thought it was powerless to explain, while also showing that aspects of class are indeed centrally affected by cultural factors. The Class Matrix does not seek to displace culture from the analysis of modern capitalism. Rather, in prose of exemplary clarity, Chibber gives culture its due alongside what Marx called “the dull compulsion of economic relations.”

Class structure -- Class formation -- Consent, coercion, and resignation -- Agency, contingency, and all that -- How capitalism endures.

A natural sequel to the author's previous book Combinatorial Matrix Theory written with H. J. Ryser, this is the first book devoted exclusively to existence questions, constructive algorithms, enumeration questions, and other properties concerning classes of matrices of combinatorial significance. Several classes of matrices are thoroughly developed including the classes of matrices of 0's and 1's with a specified number of 1's in each row and column (equivalently, bipartite graphs with a specified degree sequence), symmetric matrices in such classes (equivalently, graphs with a specified degree sequence), tournament matrices with a specified number of 1's in each row (equivalently, tournaments with a specified score sequence), nonnegative matrices with specified row and column sums, and doubly stochastic matrices. Most of this material is presented for the first time in book format and the chapter on doubly stochastic matrices provides the most complete development of the topic to date.

The Kronecker product of matrices plays a central role in mathematics and in applications found in engineering and theoretical physics. These applications are signal processing, statistical physics, quantum groups and quantum computers. This book provides a comprehensive introduction to the Kronecker product of matrices together with its software implementation in C++ using an object-oriented design.

Matrix Analysis presents the classical and recent results for matrix analysis that have proved to be important to applied mathematics.

The Matrix trilogy is unique among recent popular films in that it is constructed around important philosophical questions--classic questions which have fascinated philosophers and other thinkers for thousands of years. Editor Christopher Grau here presents a collection of new, intriguing essays about some of the powerful and ancient questions broached by The Matrix and its sequels, written by some of the most prominent and reputable philosophers working today. They provide intelligent, accessible, and thought-provoking examinations of the philosophical issues that support the films. Philosophers Explore The Matrix includes an introduction that surveys the use of philosophical ideas in the film. Topics that the contributors tackle include: how a collaborative dream could differ from hallucination, the difference between the Matrix and the "real" world; why living in the Matrix would be considered "bad"; the similarities between the Matrix and Plato's Cave; the moral status of artificially created beings, whether one can behave immorally in illusory circumstances, and the true nature of free will and responsibility. This volume also includes an appendix of classic philosophical writing on these issues by Plato, Berkeley, Descartes, Putnam, and Nozick. Philosophers Explore The Matrix will fascinate any fan of the films who wants to delve deeper into their themes, as well as any student of philosophy who desires an accessible entry into this challenging and profoundly vital world of ideas.

In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.