TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks, as well as studies that provide new insights by approaching language from an interdisciplinary perspective. TRENDS IN LINGUISTICS considers itself a forum for cutting-edge research based on solid empirical data on language in its various manifestations, including sign languages. It regards linguistic variation in its synchronic and diachronic dimensions as well as in its social contexts as important sources of insight for a better understanding of the design of linguistic systems and the ecology and evolution of language. TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing. To discuss your book idea or submit a proposal, please contact Birgit Sievert.
At the completion of this critical bibliography which forms another step in the direction of the realization of the bibliographical project inaugurated in 1955 by Dr. Voorhoeve's survey of the languages of Sumatra, I acknowledge with gratitude the valuable assistance received from various people. I am indebted to my colleagues Prof. Dr. G. W. J. Drewes, Dr. J. Noorduyn, Dr. Th. Pigeaud, Prof. Dr. A. Teeuw and Dr. P. Voorhoeve, who read all or part of the manuscript and who generously put their extensive knowledge of the Java languages at my disposal. Heartfelt thanks are due to Mr. B. J. Hoff and Mr. A. G. Sciarone, both members of my staff, who verified many of the biblio graphical details. I am grateful to the library of the University of Leiden and to the library of the Institute in The Hague because of their readiness in giving me all the facilities I needed for the preparation of this book. Most useful was the cordial assistance received from my colleague Prof. Dr. P. E. de Josselin de Jong, who spent much time correcting the many imperfections of my English text, which greatly promoted the readability of the narrative sections of this survey.
At the completion of this bibliography, the second of the planned series on language study in Indonesia, the authors acknowledge with gratitude the kind assistance of Father Donatus Dunselman, Dr A. H. Hill and Dr P. Voorhoeve who have read all or part of the manuscript. Also our heartfelt thanks are due to those who have provided us with information indispensable for the compilation of the bibliographical data, or have given us the opportunity to inspect their archives for linguistic literature on Borneo, i.e. the very Rev. A. Antonissen, Jesselton, North Borneo, Father W. Boon, Rector of the Catholic Mission, Mukah, Sarawak, Dr N. C. Scott, the Society for promoting Christian Knowledge, London, the British and Foreign Bible Society, London, the School of Oriental and African Studies, London, the Basle Mission, Basle, Switzerland, the Rhenish Mission, Wuppertal, Germany, the Dutch Bible Society, Amsterdam. The authors greatly appreciate the grant from the Netherland Institute for International Cultural Relations which made this public ation possible.
This book covers numerical methods for stochastic partial differential equations with white noise using the framework of Wong-Zakai approximation. The book begins with some motivational and background material in the introductory chapters and is divided into three parts. Part I covers numerical stochastic ordinary differential equations. Here the authors start with numerical methods for SDEs with delay using the Wong-Zakai approximation and finite difference in time. Part II covers temporal white noise. Here the authors consider SPDEs as PDEs driven by white noise, where discretization of white noise (Brownian motion) leads to PDEs with smooth noise, which can then be treated by numerical methods for PDEs. In this part, recursive algorithms based on Wiener chaos expansion and stochastic collocation methods are presented for linear stochastic advection-diffusion-reaction equations. In addition, stochastic Euler equations are exploited as an application of stochastic collocation methods, where a numerical comparison with other integration methods in random space is made. Part III covers spatial white noise. Here the authors discuss numerical methods for nonlinear elliptic equations as well as other equations with additive noise. Numerical methods for SPDEs with multiplicative noise are also discussed using the Wiener chaos expansion method. In addition, some SPDEs driven by non-Gaussian white noise are discussed and some model reduction methods (based on Wick-Malliavin calculus) are presented for generalized polynomial chaos expansion methods. Powerful techniques are provided for solving stochastic partial differential equations. This book can be considered as self-contained. Necessary background knowledge is presented in the appendices. Basic knowledge of probability theory and stochastic calculus is presented in Appendix A. In Appendix B some semi-analytical methods for SPDEs are presented. In Appendix C an introduction to Gauss quadrature is provided. In Appendix D, all the conclusions which are needed for proofs are presented, and in Appendix E a method to compute the convergence rate empirically is included. In addition, the authors provide a thorough review of the topics, both theoretical and computational exercises in the book with practical discussion of the effectiveness of the methods. Supporting Matlab files are made available to help illustrate some of the concepts further. Bibliographic notes are included at the end of each chapter. This book serves as a reference for graduate students and researchers in the mathematical sciences who would like to understand state-of-the-art numerical methods for stochastic partial differential equations with white noise.
A compilation of previously unpublished lectures delivered at the International Centre for Theoretical Physics by the pioneers and creators of modern physics --Bethe, Dirac, Heisenberg, Wigner, Klein and Landau (the sixth delivered by E Lifshitz). By sharing with us their own lives of physics, these outstanding physicists convey the sense of total dedication, the pleasure and elegance of scientific creation at its peak. Readers would acquire a deeper sense of the scope and nature of physics, and the insights of its fascinating diverse disciplines as the developments of modern physics are being unfolded through history.
Several significant additions have been made to the second edition, including the operator method of calculating the bremsstrahlung cross-section, the calcualtion of the probabilities of photon-induced pair production and photon decay in a magnetic field, the asymptotic form of the scattering amplitudes at high energies, inelastic scattering of electrons by hadrons, and the transformation of electron-positron pairs into hadrons.
Course of Theoretical Physics, Volume 5: Statistical Physics, Third Edition, Part 1 covers the fundamental principles of statistical physics and thermodynamic quantities. The book discusses the Gibbs and Maxwellian distributions; the Boltzmann distribution for ideal gases; and the Fermi and Bose distributions. Solids are tackled with regard to their application of statistical methods of calculating the thermodynamic quantities. The book describes the deviations of gases from the ideal state, conditions of phase equilibrium, solutions, and chemical reactions. The text also discusses the properties of matter at very high density; the Gaussian distribution; fluctuations of the fundamental thermodynamic quantities; and fluctuations in solids and ideal gases. The symmetry of crystals; phase transitions of the second kind and critical phenomena; and surfaces are considered as well. Students taking statistical physics and those involved in the areas of statistical physics will find the book invaluable.
Quantum Mechanics, Third Edition: Non-relativistic Theory is devoted to non-relativistic quantum mechanics. The theory of the addition of angular momenta, collision theory, and the theory of symmetry are examined, together with spin, nuclear structure, motion in a magnetic field, and diatomic and polyatomic molecules. This book is comprised of 18 chapters and begins with an introduction to the basic concepts of quantum mechanics, with emphasis on the uncertainty principle, the principle of superposition, and operators, as well as the continuous spectrum and the wave function. The following chapters explore energy and momentum; Schrödinger's equation; angular momentum; and motion in a centrally symmetric field and in a magnetic field. Perturbation theory, spin, and the properties of quasi-classical systems are also considered. The remaining chapters deal with the identity of particles, atoms, and diatomic and polyatomic molecules. The final two chapters describe elastic and inelastic collisions. This monograph will be a valuable source of information for physicists.
A lucid presentation of statistical physics and thermodynamics which develops from the general principles to give a large number of applications of the theory.
TRENDS IN LINGUISTICS is a series of books that open new perspectives in our understanding of language. The series publishes state-of-the-art work on core areas of linguistics across theoretical frameworks, as well as studies that provide new insights by approaching language from an interdisciplinary perspective. TRENDS IN LINGUISTICS considers itself a forum for cutting-edge research based on solid empirical data on language in its various manifestations, including sign languages. It regards linguistic variation in its synchronic and diachronic dimensions as well as in its social contexts as important sources of insight for a better understanding of the design of linguistic systems and the ecology and evolution of language. TRENDS IN LINGUISTICS publishes monographs and outstanding dissertations as well as edited volumes, which provide the opportunity to address controversial topics from different empirical and theoretical viewpoints. High quality standards are ensured through anonymous reviewing. To discuss your book idea or submit a proposal, please contact Birgit Sievert.
At the completion of this bibliography, the second of the planned series on language study in Indonesia, the authors acknowledge with gratitude the kind assistance of Father Donatus Dunselman, Dr A. H. Hill and Dr P. Voorhoeve who have read all or part of the manuscript. Also our heartfelt thanks are due to those who have provided us with information indispensable for the compilation of the bibliographical data, or have given us the opportunity to inspect their archives for linguistic literature on Borneo, i.e. the very Rev. A. Antonissen, Jesselton, North Borneo, Father W. Boon, Rector of the Catholic Mission, Mukah, Sarawak, Dr N. C. Scott, the Society for promoting Christian Knowledge, London, the British and Foreign Bible Society, London, the School of Oriental and African Studies, London, the Basle Mission, Basle, Switzerland, the Rhenish Mission, Wuppertal, Germany, the Dutch Bible Society, Amsterdam. The authors greatly appreciate the grant from the Netherland Institute for International Cultural Relations which made this public ation possible.
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