Spinor theory is an important tool in mathematical physics in particular in the context of conformal field theory and string theory. These lecture notes present a new way to introduce spinors by exploiting their intimate relationship to Clifford algebras. The presentation is detailed and mathematically rigorous. Not only students but also researchers will welcome this book for the clarity of its style and for the straightforward way it applies mathematical concepts to physical theory.
Several well-established geometric and topological methods are used in this work in an application to a beautiful physical phenomenon known as the geometric phase. This book examines the geometric phase, bringing together different physical phenomena under a unified mathematical scheme. The material is presented so that graduate students and researchers in applied mathematics and physics with an understanding of classical and quantum mechanics can handle the text.
This volume presents a theoretical and practical model for analysing epistemic stance in dialogues, i.e. the positions both epistemic (commitment) and evidential (source of information) which speakers take in the here and now of communication with regard to the information they are conveying and which they express through lexical and morphosyntactic means. According to the results of our studies of different types of corpora, these positions can be reduced to three basic ones: Knowing, Unknowing, Believing (KUB). In the first part of the book, we present the KUB model and its psychological and linguistic backgrounds. In the second part, we provide an exemplary application of the model, by presenting the qualitative and quantitative analysis of dialogues belonging to different genres and contexts. The volume is addressed to scholars concerned with the topical issues from a theoretical and analytical perspective.
General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and in this book they provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. For advanced undergraduates and graduates in physics and astronomy, this textbook will enable students to develop expertise in the mathematical techniques necessary to study general relativity.
Spinor theory is an important tool in mathematical physics in particular in the context of conformal field theory and string theory. These lecture notes present a new way to introduce spinors by exploiting their intimate relationship to Clifford algebras. The presentation is detailed and mathematically rigorous. Not only students but also researchers will welcome this book for the clarity of its style and for the straightforward way it applies mathematical concepts to physical theory.
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