December 19, 2016 Forthcoming by Chapman and Hall/CRC
Reference - 432 Pages - 69 B/W Illustrations
ISBN 9781498720618 - CAT# K25539
Series: Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Provides updated overview of generalized linear models with random effects
Focuses on h-likelihood methodology developed by authors
Adds material on theoretical basis, variable selection, and multiple testing
Contains lots of real examples to illustrate the methods, many new to this edition
Enables implementation of methods through use of R package
This is the second edition of a monograph on generalized linear models with random effects that extends the classic work of McCullagh and Nelder. It has been thoroughly updated, with around 80 pages added, including new material on the extended likelihood approach that strengthens the theoretical basis of the methodology, new developments in variable selection and multiple testing, and new examples and applications. It includes an R package for all the methods and examples that supplement the book.
July 15, 2017 Forthcoming by CRC Press
Reference - 250 Pages - 20 B/W Illustrations
ISBN 9781498776172
Series: Monographs and Research Notes in Mathematics
This is the first monograph devoted to search and application of Lie and conditional symmetries for reaction diffusion-convection equations, which form the most important class among Partial Differential Equations of evolution type.
The reader does not need a detailed knowledge of symmetry-based methods to use the exact solutions presented in this book and/or to construct new solutions using Lie and conditional symmetry operators listed in this book.
Each chapter contains ideas for further theoretical investigations and generalizations and examples for real world applications.
Content can be used in Mathematical Biology courses and non-linear PDE courses for graduate students and final year undergraduate students.
It is well known that symmetry-based methods are very powerful tools for investigating nonlinear partial differential equations (PDEs), notably for their reduction to those of lower dimensionality (e.g. to ODEs) and constructing exact solutions. This book is devoted to (1) search Lie and conditional (non-classical) symmetries of nonlinear RDC equations, (2) constructing exact solutions using the symmetries obtained, and (3) their applications for solving some biologically and physically motivated problems. The book summarises the results derived by the authors during the last 10 years and those obtained by some other authors.
Introduction. Lie symmetries of reaction-diffusion-convection equations. Conditional symmetries of reaction-diffusion-convection
equations. Exact solutions of reaction-diffusion-convection equations. Method additional generating conditions for constructing
exact solutions. Concluding remarks.
Published: 31 July 2016
Publisher: International Press of Boston, Inc.
Paperback
92 pages
This is the seventh issue (July 2016) of the Notices of the International Congress of Chinese Mathematicians (or ICCM Notices, for short), the official periodical of the ICCM organization.
Published semi-annually, the Notices bring news, research, and presentation of various perspectives, relevant to Chinese mathematics development and education.
Readers of the Notices will find research papers on various topics by prominent experts from around the world, interesting and timely articles on current applications and trends, biographical and historical essays, profiles of important institutions of research and learning, and more.
A must have text for risk modelling and portfolio optimization using R.
This book introduces the latest techniques advocated for measuring financial market risk and portfolio optimization, and provides a plethora of R code examples that enable the reader to replicate the results featured throughout the book. This edition has been extensively revised to include new topics on risk surfaces and probabilistic utility optimization as well as an extended introduction to R language.
Demonstrates techniques in modelling financial risks and applying portfolio optimization techniques as well as recent advances in the field.
Introduces stylized facts, loss function and risk measures, conditional and unconditional modelling of risk; extreme value theory, generalized hyperbolic distribution, volatility modelling and concepts for capturing dependencies.
Explores portfolio risk concepts and optimization with risk constraints.
Is accompanied by a supporting website featuring examples and case studies in R.
Includes updated list of R packages for enabling the reader to replicate the results in the book.
Graduate and postgraduate students in finance, economics, risk management as well as practitioners in finance and portfolio optimization will find this book beneficial. It also serves well as an accompanying text in computer-lab classes and is therefore suitable for self-study.
Basic principles described with precision
Particular attention given to correct mathematical formulation of underlying assumptions
Presents physical applications in elementary particle physics
Presents in detail the quantisation of gauge theories using BRST formalism
Published: 05 January 2017 (Estimated)
992 Pages | 118
246x171mm
Hardback
ISBN: 9780198788393
Paperback
ISBN: 9780198788409
Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at
every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.
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