The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The account is self-contained, and the reader is not assumed to have any previous knowledge of linear algebra. Although its accessibility makes it suitable for non-mathematicians, Professor Mirsky's book is nevertheless a systematic and rigorous development of the subject. Part I deals with determinants, vector spaces, matrices, linear equations, and the representation of linear operators by matrices. Part II begins with the introduction of the characteristic equation and goes on to discuss unitary matrices, linear groups, functions of matrices, and diagonal and triangular canonical forms. Part II is concerned with quadratic forms and related concepts. Applications to geometry are stressed throughout; and such topics as rotation, reduction of quadrics to principal axes, and classification of quadrics are treated in some detail. An account of most of the elementary inequalities arising in the theory of matrices is also included. Among the most valuable features of the book are the numerous examples and problems at the end of each chapter, carefully selected to clarify points made in the text.
The straight-forward clarity of the writing is admirable." — American Mathematical Monthly. This work provides an elementary and easily readable account of linear algebra, in which the exposition is sufficiently simple to make it equally useful to readers whose principal interests lie in the fields of physics or technology. The account is self-contained, and the reader is not assumed to have any previous knowledge of linear algebra. Although its accessibility makes it suitable for non-mathematicians, Professor Mirsky's book is nevertheless a systematic and rigorous development of the subject. Part I deals with determinants, vector spaces, matrices, linear equations, and the representation of linear operators by matrices. Part II begins with the introduction of the characteristic equation and goes on to discuss unitary matrices, linear groups, functions of matrices, and diagonal and triangular canonical forms. Part II is concerned with quadratic forms and related concepts. Applications to geometry are stressed throughout; and such topics as rotation, reduction of quadrics to principal axes, and classification of quadrics are treated in some detail. An account of most of the elementary inequalities arising in the theory of matrices is also included. Among the most valuable features of the book are the numerous examples and problems at the end of each chapter, carefully selected to clarify points made in the text.
This book provides an in-depth analysis of public opinion patterns among Muslims, particularly in the Arab world. On the basis of data from the World Values Survey, the Arab Barometer Project and the Arab Opinion Index, it compares the dynamics of Muslim opinion structures with global publics and arrives at social scientific predictions of value changes in the region. Using country factor scores from a variety of surveys, it also develops composite indices of support for democracy and a liberal society on a global level and in the Muslim world, and analyzes a multivariate model of opinion structures in the Arab world, based on over 40 variables from 12 countries in the Arab League and covering 67% of the total population of the Arab countries. While being optimistic about the general, long-term trend towards democracy and the resilience of Arab and Muslim civil society to Islamism, the book also highlights anti-Semitic trends in the region and discusses them in the larger context of xenophobia in traditional societies. In light of the current global confrontation with radical Islamism, this book provides vital material for policy planners, academics and think tanks alike.
Aiming to open an overdue debate about the academic fields of Russian and transnational modernist studies, this book is intended for an audience of scholars in comparative literary and cultural studies, specialists in Russian and transnational modernism, and researchers engaged with European cultural historiography.
This book discusses fundamentally new biomedical imaging methods, such as holography, holographic and resonant interferometry, and speckle optics. It focuses on the development of holographic interference microscopy and its use in the study of phase objects such as nerve and muscle fibers subjected to the influence of laser radiation, magnetic fields, and hyperbaric conditions. The book shows how the myelin sheath and even the axon itself exhibit waveguide properties, enabling a fresh new look at the mechanisms of information transmission in the human body. The book presents theoretically and experimentally tested holographic and speckle-optical methods and devices used for investigating complex, diffusely scattering surfaces such as skin and muscle tissue. Additionally, it gives broad discussion of the authors’ own original fundamental and applied research dedicated to helping physicians introduce new contact-less methods of diagnosis and treatment of diseases of the cardiovascular and neuromuscular systems into medical practice. The book is aimed at a broad spectrum of scientific specialists in the fields of speckle optics, holography, laser physics, morphology and cytochemistry, as well as medical professionals such as physiologists, neuropathologists, neurosurgeons, cardiologists and dentists.
In a pioneering exploration of the intellectual and literary exchange between Russian émigrés and French intelligentsia in the 1920s and 1930s, Leonid Livak provides an impressively comprehensive bibliographic overview of a veritable "who's who" of Russian intellectuals and literati, listing all the material published by Russian émigrés or on topics pertaining to them during the period under study. Focusing attention on a largely ignored chapter of European cultural history, this volume challenges historical assumptions by demonstrating processes of cultural cross-fertilization and illuminates the precedents Russians set for political exiles in the twentieth century. A remarkable achievement in scholarship, Russian Émigrés in the Intellectual and Literary Life of Inter-War France is a valuable resource for admirers and researchers of French and Russian culture and European intellectual history.
Jewish life in Belarus in the years after World War II was long an enigma. Officially it was held to be as being non-existent, and in the ideological atmosphere of the time research on the matter was impossible. Jewish community life had been wiped out by the Nazis, and information on its revival was suppressed by the communists. For more than half a century the truth about Jewish life during this period was sealed in inaccessible archives. The Jews of Belarus preferred to keep silent rather than expose themselves to the animosity of the authorities. Although the fate of Belarusian Jews before and during the war has now been amply studied, this book is one of the first attempts to study Jewish life in Belarus during the last decade of Stalin's rule. In addition to archival materials, the present research is based on a questionnaire submitted to former residents of Belarus in Israel, as well as information from periodicals, collections of documents, statistical reports and monographs.
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