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Graphical Methods for Data Analysis

The BUGS Book A Practical Introduction to Bayesian Analysis

The BUGS Book A Practical Introduction to Bayesian Analysis

Bayesian statistical methods have become widely used for data analysis and modelling in recent years and the BUGS software has become the most popular software for Bayesian analysis worldwide. Authored by the team that originally developed this software The BUGS Book provides a practical introduction to this program and its use. The text presents complete coverage of all the functionalities of BUGS including prediction missing data model criticism and prior sensitivity. It also features a large number of worked examples and a wide range of applications from various disciplines. The book introduces regression models techniques for criticism and comparison and a wide range of modelling issues before going into the vital area of hierarchical models one of the most common applications of Bayesian methods. It deals with essentials of modelling without getting bogged down in complexity. The book emphasises model criticism model comparison sensitivity analysis to alternative priors and thoughtful choice of prior distributions all those aspects of the art of modelling that are easily overlooked in more theoretical expositions. More pragmatic than ideological the authors systematically work through the large range of tricks that reveal the real power of the BUGS software for example dealing with missing data censoring grouped data prediction ranking parameter constraints and so on. Many of the examples are biostatistical but they do not require domain knowledge and are generalisable to a wide range of other application areas. Full code and data for examples exercises and some solutions can be found on the book‘s website. | The BUGS Book A Practical Introduction to Bayesian Analysis

GBP 180.00
1

Handbook of Radar Signal Analysis

Handbook of Radar Signal Analysis

This new handbook on radar signal analysis adopts a deliberate and systematic approach. It uses a clear and consistent level of delivery while maintaining strong and easy-to-follow mathematical details. The emphasis of this book is on radar signal types and their relevant signal processing and not on radar systems hardware or components. This handbook serves as a valuable reference to a wide range of audience. More specifically college-level students practicing radar engineers as well as casual readers of the subject are the intended target audience of the first few chapters of this book. As the book chapters progress these grow in complexity and specificity. Accordingly later chapters are intended for practicing engineers graduate college students and advanced readers. Finally the last few chapters contain several special topics on radar systems that are both educational and scientifically entertaining to all readers. The presentation of topics in this handbook takes the reader on a scientific journey whose major landmarks comprise the different radar subsystems and components. In this context the chapters follow the radar signal along this journey from its birth to the end of its life. Along the way the different relevant radar subsystems are analyzed and discussed in great detail. The chapter contributors of this new handbook comprise experienced academia members and practicing radar engineers. Their combined years of academic and real-world experiences are in excess of 175. Together they bring a unique easy-to-follow mix of mathematical and practical presentations of the topics discussed in this book. See the Chapter Contributors section to learn more about these individuals. | Handbook of Radar Signal Analysis

GBP 180.00
1

Essentials of Multivariate Data Analysis

A Handbook of Statistical Analyses using SAS

A Handbook of Statistical Analyses using R

Statistical Modeling and Machine Learning for Molecular Biology

Introduction to Randomized Controlled Clinical Trials

Spatial Dynamics and Pattern Formation in Biological Populations

Spatial Dynamics and Pattern Formation in Biological Populations

The book provides an introduction to deterministic (and some stochastic) modeling of spatiotemporal phenomena in ecology epidemiology and neural systems. A survey of the classical models in the fields with up to date applications is given. The book begins with detailed description of how spatial dynamics/diffusive processes influence the dynamics of biological populations. These processes play a key role in understanding the outbreak and spread of pandemics which help us in designing the control strategies from the public health perspective. A brief discussion on the functional mechanism of the brain (single neuron models and network level) with classical models of neuronal dynamics in space and time is given. Relevant phenomena and existing modeling approaches in ecology epidemiology and neuroscience are introduced which provide examples of pattern formation in these models. The analysis of patterns enables us to study the dynamics of macroscopic and microscopic behaviour of underlying systems and travelling wave type patterns observed in dispersive systems. Moving on to virus dynamics authors present a detailed analysis of different types models of infectious diseases including two models for influenza five models for Ebola virus and seven models for Zika virus with diffusion and time delay. A Chapter is devoted for the study of Brain Dynamics (Neural systems in space and time). Significant advances made in modeling the reaction-diffusion systems are presented and spatiotemporal patterning in the systems is reviewed. Development of appropriate mathematical models and detailed analysis (such as linear stability weakly nonlinear analysis bifurcation analysis control theory numerical simulation) are presented. Key Features Covers the fundamental concepts and mathematical skills required to analyse reaction-diffusion models for biological populations. Concepts are introduced in such a way that readers with a basic knowledge of differential equations and numerical methods can understand the analysis. The results are also illustrated with figures. Focuses on mathematical modeling and numerical simulations using basic conceptual and classic models of population dynamics Virus and Brain dynamics. Covers wide range of models using spatial and non-spatial approaches. Covers single two and multispecies reaction-diffusion models from ecology and models from bio-chemistry. Models are analysed for stability of equilibrium points Turing instability Hopf bifurcation and pattern formations. Uses Mathematica for problem solving and MATLAB for pattern formations. Contains solved Examples and Problems in Exercises. The Book is suitable for advanced undergraduate graduate and research students. For those who are working in the above areas it provides information from most of the recent works. The text presents all the fundamental concepts and mathematical skills needed to build models and perform analyses. | Spatial Dynamics and Pattern Formation in Biological Populations

GBP 205.00
1

A Primer on Wavelets and Their Scientific Applications

A Primer on Wavelets and Their Scientific Applications

In the first edition of his seminal introduction to wavelets James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications. Ingeniously relying on elementary algebra and just a smidgen of calculus Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing as well in biology and medicine. Nearly twice as long as the original this new edition provides 104 worked examples and 222 exercises constituting a veritable book of review material Two sections on biorthogonal wavelets A mini-course on image compression including a tutorial on arithmetic compression Extensive material on image denoising featuring a rarely covered technique for removing isolated randomly positioned clutter Concise yet complete coverage of the fundamentals of time-frequency analysis showcasing its application to audio denoising and musical theory and synthesis An introduction to the multiresolution principle a new mathematical concept in musical theory Expanded suggestions for research projects An enhanced list of references

GBP 180.00
1

Elliptic Operators Topology and Asymptotic Methods

Elliptic Operators Topology and Asymptotic Methods

Ten years after publication of the popular first edition of this volume the index theorem continues to stand as a central result of modern mathematics-one of the most important foci for the interaction of topology geometry and analysis. Retaining its concise presentation but offering streamlined analyses and expanded coverage of important examples and applications Elliptic Operators Topology and Asymptotic Methods Second Edition introduces the ideas surrounding the heat equation proof of the Atiyah-Singer index theorem. The author builds towards proof of the Lefschetz formula and the full index theorem with four chapters of geometry five chapters of analysis and four chapters of topology. The topics addressed include Hodge theory Weyl's theorem on the distribution of the eigenvalues of the Laplacian the asymptotic expansion for the heat kernel and the index theorem for Dirac-type operators using Getzler's direct method. As a dessert the final two chapters offer discussion of Witten's analytic approach to the Morse inequalities and the L2-index theorem of Atiyah for Galois coverings. The text assumes some background in differential geometry and functional analysis. With the partial differential equation theory developed within the text and the exercises in each chapter Elliptic Operators Topology and Asymptotic Methods becomes the ideal vehicle for self-study or coursework. Mathematicians researchers and physicists working with index theory or supersymmetry will find it a concise but wide-ranging introduction to this important and intriguing field.

GBP 180.00
1

Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations

A Concise Introduction to Pure Mathematics

Statistics for Technology A Course in Applied Statistics Third Edition

Handbook of Discrete and Computational Geometry

A Concise Introduction to Statistical Inference