Contemporary theory is replete with metaphors of travel displacement, diaspora, borders, exile, migration, nomadism, homelessness, and tourism to name a few. In Questions of Travel, Caren Kaplan explores the various metaphoric uses of travel and displacement in literary and feminist theory, traces the political implications of this traveling theory, and shows how various discourses of displacement link, rather than separate, modernism and postmodernism. Addressing a wide range of writers, including Paul Fussell, Edward Said, James Clifford, Gilles Deleuze, Jean Baudrillard, Gayatri...
Contemporary theory is replete with metaphors of travel displacement, diaspora, borders, exile, migration, nomadism, homelessness, and tourism to name...
The single most difficult thing one faces when one begins to learn a new branch of mathematics is to get a feel for the mathematical sense of the subject. The purpose of this book is to help the aspiring reader acquire this essential common sense about algebraic topology in a short period of time. To this end, Sato leads the reader through simple but meaningful examples in concrete terms. Moreover, results are not discussed in their greatest possible generality, but in terms of the simplest and most essential cases.
The single most difficult thing one faces when one begins to learn a new branch of mathematics is to get a feel for the mathematical sense of the subj...
Scattering theory presents an excellent example of interaction between different mathematical subjects: operator theory, measure theory, the theory of differential operators and equations, mathematical analysis, and applications of these areas to quantum mechanics. Because of the interplay of these fields, a deep understanding of scattering theory can lead to deep insights into the developing world of modern mathematics. Yafaev's book is intended to provide such an understanding of scattering theory, starting with basic principles and extending to current research.
Scattering theory presents an excellent example of interaction between different mathematical subjects: operator theory, measure theory, the theory of...
Lie groups are very general mathematical objects that appear in numerous areas such as topology, functional analysis, and algebra, as well as differential geometry and differential topology. This book provides a guide to the topology of Lie groups and homogeneous spaces by bringing together a wide range of results relating to them.
Lie groups are very general mathematical objects that appear in numerous areas such as topology, functional analysis, and algebra, as well as differen...
This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of general topology, and a brief treatment of the Riemann integral, followed by chapters on the classical theory of the Lebesgue integral on Euclidean spaces; the differentiation theorem and functions of bounded variation; Lebesgue spaces; distribution theory; the classical theory of the Fourier transform and Fourier series; and wavelet theory.
This introduction to real analysis is based on a series of lectures by the author at Tohoku University. The text covers real numbers, the notion of ge...
The asymptotic properties of the likelihood ratio play an important part in solving problems in statistics for various schemes of observations. In this work, the author describes the asymptotic methods for parameter estimation and hypothesis testing based on asymptotic properties of the likelihood ratios in the case where an observed stochastic process is a semimartingale. Chapter 1 gives the general basic notions and results of the theory under consideration. Chapters 2 and 3 are devoted to the problem of distinguishing between two simple statistical hypotheses. In Chapter 2, certain types...
The asymptotic properties of the likelihood ratio play an important part in solving problems in statistics for various schemes of observations. In thi...
The study of asymptotic solutions to nonlinear systems of partial differential equations is a powerful tool in the analysis of such systems and their applications in physics, mechanics, and engineering. In this book, the authors propose a method of asymptotic analysis of solutions, which can be applied in the case of the so-called smoothed shock waves, nonlinear waves which vary fast in a neighborhood of the front and slowly outside of this neighborhood. The proposed method, based on the study of geometric objects associated to the front, can be viewed as a generalization of the geometric...
The study of asymptotic solutions to nonlinear systems of partial differential equations is a powerful tool in the analysis of such systems and their ...
This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It includes modern interpretations of some famous classical algebraic theorems such as Abel's theorem on the lemniscate and Hermite's solution of the fifth degree equation by means of theta functions. Suitable as a text, the book is self-contained and assumes as prerequisites only one-year courses of algebra and analysis.
This book is devoted to the geometry and arithmetic of elliptic curves and to elliptic functions with applications to algebra and number theory. It in...
This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical community with an extensive body of work and this one-of-a-kind monograph. Here, he gives a clear and lucid account of results and methods of asymptotic representation theory. The book is a unique source of information on an important topic of current research. Asymptotic representation theory of symmetric groups deals with problems of two types: asymptotic properties of representations of symmetric groups of large order and representations of the...
This book reproduces the doctoral thesis written by a remarkable mathematician, Sergei V. Kerov. His untimely death at age 54 left the mathematical co...
Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mathematical foundation of information geometry. It provides an overview of many areas of applications, such
Information geometry provides the mathematical sciences with a fresh framework of analysis. This book presents a comprehensive introduction to the mat...