Along with many practical applications, this book presents an array of Bayesian inference and model selection procedures. It thoroughly explains the concepts, illustrates the derivations of various Bayesian model selection criteria through examples, and provides R code for implementation. The R code is available for download on the book’s website. The text also applies Bayesian model averaging to many problems and compares the different types of simulation-based Bayesian model selection criteria, including the numerical calculation of Bayes factors, the Bayesian predictive information criterion, and the deviance information criterion.
• Statistics: A Series of Textbooks and Monographs
Statistical Theory & Methods
Reference

With many concrete examples and questions, this book provides an engaging, accessible account of core theoretical results of evolution equations in a way that gradually builds intuition and culminates in exploring active research. Developing all necessary prerequisite material, from real analysis to functional analysis, it gives nonspecialists the foundation to understand what evolution equations are and how to work with them in various areas of practice. The book covers 35 different models spanning chemical kinetics, pharmacokinetics, neural networks, chemotaxis, mathematical physics, beam dynamics, aeroelasticity, infectious disease epidemiology, combustion, and environmental issues.
• Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Differential Equations
Mathematical Analysis
Mathematics & Statistics for Engineers
Reference
Professional

Unlocking the secrets that govern the physics of lubricated and dry contacts, this book helps tribologists on their quest to reduce friction, minimize wear, and extend the operating life of mechanical equipment. It presents a fresh approach to tribology that links advances in applied mathematics with fundamental problems in tribology related to contact elasticity, fracture mechanics, and fluid film lubrication. The book also provides a real-world industrial perspective so that readers can attain a practical understanding of the material. The authors incorporate the classical tenets of tribology while providing new mathematical solutions that address various shortcomings in existing theories.
• Modern Mechanics and Mathematics
Tribology
Materials Science
Mathematics & Statistics for Engineers
Reference
Professional

Drawing from the authors’ courses on the subject as well as the first author’s more than 30 years working in the pharmaceutical industry, Clinical Trial Methodology emphasizes the importance of statistical thinking in clinical research and presents the methodology as a key component of clinical research. From ethical issues and sample size considerations to adaptive design procedures and statistical analysis, the book first covers the methodology that spans every clinical trial regardless of the area of application. Bioequivalence clinical trials are then discussed. The final chapters incorporate real-world case studies of clinical trials from the authors’ own experiences.
• Chapman & Hall/CRC Biostatistics Series
Statistics for the Biological Sciences
Clinical Implementation
Medicinal & Pharmaceutical Chemistry
Reference
Professional

Requiring no prior programming experience, this book shows how to use the powerful tool of Simulink ® to investigate and form intuitions about the behavior of dynamical systems. Step by step, the author presents the basics of building a simulation in Simulink. He also offers overviews of some advanced topics, including the simulation of chaotic dynamics and partial differential equations. Written in an informal, accessible style, the text includes many diagrams, graphics, and exercises. It also draws on numerous examples from the science, engineering, and technology fields. Ancillary materials are available on the author’s website.
• Chapman & Hall/CRC Computational Science
Computational Numerical Analysis
Systems & Controls
Textbook

This update of a best-selling text presents methods of applied mathematics that are particularly suited to address physical problems in science and engineering. This edition incorporates a new chapter that offers an extensive treatment of numerical methods. It also contains new appendices on vector algebra, calculus, and matrix algebra. The author provides a complete treatment of ODEs and PDEs, covers Green’s functions for unbounded and bounded media, and explores self-adjoint systems and orthogonal series. Numerous examples illustrate the various methods of solution and answers to the end-of-chapter problems are included at the back of the book.
•
Mathematics & Statistics for Engineers
Mathematical Physics
Differential Equations
Textbook
Undergraduate

Giving much more attention to noninferiority testing, this second edition provides readers with a rich repertoire of efficient solutions to specific equivalence and noninferiority testing problems frequently encountered in the analysis of real data sets. It also includes new chapters on equivalence tests for multivariate data and tests for relevant differences between treatments. Drawing from real-life medical research, the author uses numerous examples throughout to illustrate the methods. Updated computer programs in SAS, Fortran, and R for facilitating the routine application of testing procedures are available online at www.crcpress.com
•
Statistics for the Biological Sciences
Statistical Theory & Methods
Reference
Professional

This popular text presents some of the most important and widely used methods for solving PDEs. Along with a new chapter on complex variable methods, this edition includes new sections on Cauchy–Euler equations, Bessel functions, Legendre polynomials, spherical harmonics, applications of Fourier transformations, and general hyperbolic equations. It lists additional mathematical models based on PDEs and shows how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace. The author also added many new worked examples and exercises. Ancillary materials are available for qualifying instructors.
• Chapman Hall/CRC Mathematics Series
Differential Equations
Mechanical Engineering
Advanced Mathematics
Textbook
Undergraduate

Filling a gap in current Bayesian theory, this book presents a unified Bayesian treatment of parameter inference and model comparisons that can be used with simple diffuse prior specifications. This novel approach provides new solutions to difficult model comparison problems and offers direct Bayesian counterparts of frequentist t -tests and other standard statistical methods for hypothesis testing. The book discusses nonparametric Bayesian survey analysis, gives alternatives to current frequentist nonparametric methods, and includes new goodness-of-fit methods for assessing parametric models. It also covers normal regression, analysis of variance, two-level variance component models, and finite mixtures.
• Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Statistical Theory & Methods
Statistics & Computing
Reference
Professional

Bringing together many landmark papers on the field, this compendium covers the techniques and applications of optical tweezers. It covers Arthur Ashkin’s initial work on radiation pressure and the immediate progress following his seminal demonstration. The expert contributors explore recent biological, colloidal, and microfluidic applications. They also analyze the mechanisms underpinning basic tweezer force and the interaction among many particles held within multiple tweezer systems. In addition, they explain the conversion of optical tweezers into optical spanners as well as the creation of holographic tweezers using spatial light modulators.
• Series in Optics and Optoelectronics
Molecular Biology
Optics & optoelectronics
Systems Biology
Reference
Professional