Through numerous illustrative examples and comments, this best-selling textbook demonstrates the rigor of logic and systematic, mathematical thinking. It presents the mathematical foundations that lead to classical results in functional analysis. This second edition includes revisions of many original examples, along with new examples that often reflect the authors’ own vast research experiences and perspectives. It also provides many more exercises as well as a solutions manual for qualifying instructors. New discussions cover Bayesian statistical inference, multilinear algebra and determinants, the singular value decomposition theorem, Hadamard finite part integrals, and more.
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Mathematical Analysis
Mathematics & Statistics for Engineers
Mathematical Physics
Textbook
Undergraduate

This comprehensive handbook presents practical tools and techniques for implementing natural language processing in computer systems. Along with removing outdated material, this edition offers greater prominence to statistical approaches and a broader multilingual scope to include Asian and European languages. It also contains a new applications section that covers many well-known and emerging applications, including machine translation, biomedical text mining, and sentiment analysis. In addition, an actively maintained companion wiki provides online resources, supplementary information, and up-to-date developments.
• Chapman & Hall/CRC Machine Learning & Pattern Recognition
Machine Learning
Data Preparation & Mining
Reference
Professional

To harness the high-throughput potential of DNA microarray technology, it is crucial that the analysis stages of the process are decoupled from the requirements of operator assistance. This book presents an automatic system for microarray image processing to make this decoupling a reality. The proposed system integrates and extends traditional analytical-based methods and custom-designed novel algorithms. The authors cover many new approaches for processing microarray images, such as novel subgrid detection, feature identification, and graph-cutting techniques. They include details of the algorithmic processes along with an analysis of the processes performance over real-world microarray image data.
• Chapman & Hall/CRC Computer Science & Data Analysis
Bioinformatics
Reference
Professional

With contributions from well-known, international academics and professionals, this book sheds new light on the current state of pension fund risk management and provides new technical tools for addressing pension risk from an integrated point of view. Some of the useful tools presented include VaR, Monte Carlo simulation, notional DC accounts, and actuarial balance and automatic balance mechanisms. The book describes the complex facets of various pension systems, including DB and DC plans, and explores real-world pension funds in the United States, United Kingdom, Netherlands, Germany, Italy, Greece, and Spain. It also examines the rules and regulations of pension funds.
• Chapman & Hall/CRC Finance Series
Finance
Financial Mathematics
Reference

This book brings together new insight and research on mechanical, mathematical, physical, and biological approaches for simulating the behavior of cells, specifically tumor cells. It illustrates how phenomena occurring at various scales can be modeled and coupled to account for multiscale aspects. The text discusses experimental and theoretical topics, including biological and complex modeling issues. It links subcellular effects to cellular properties, covers the modeling of cell migration and multicellular systems, and examines cell interactions with the environment, such as the rolling motion of leukocytes on a vessel wall and the forces exerted by cells on a rigid substrate.
• Chapman & Hall/CRC Mathematical & Computational Biology
Mathematical Biology
Systems Biology
Biomedical Engineering
Reference
Professional

Developed from the esteemed author’s advanced undergraduate and graduate courses at the University of Cambridge, this text provides a hands-on, sound introduction to mathematical finance. Assuming no prior knowledge of stochastic calculus or measure-theoretic probability, the author includes the relevant mathematical background as well as many exercises with solutions. He first presents the classical topics of utility and the mean-variance approach to portfolio choice. Focusing on derivative pricing, the text then covers the binomial model, the general discrete-time model, Brownian motion, the Black–Scholes model and various interest-rate models.
• Chapman & Hall/CRC Financial Mathematics Series
Statistics
Probability Theory & Applications
Finance
Textbook
Undergraduate

Through clear, step-by-step mathematical calculations, this text provides a solid understanding of how to apply statistical techniques in practice using MINITAB. It focuses on the concepts of confidence intervals, hypothesis testing, validating model assumptions, and power analysis. With fully worked out examples and homework problems, the text takes an introductory, practical approach to statistics. It establishes the foundation for readers to build on work in more advanced inferential statistics. Data sets and a trial version of MINITAB are included on accompanying CD-ROMs. A solutions manual is available for qualifying instructors.
• Statistics: A Series of Textbooks and Monographs
Statistical Theory & Methods
Quantitative Methods
Mathematics & Statistics for Engineers
Textbook
Undergraduate

Using SAS, SPSS, and R, this book addresses design and analysis aspects in enough detail so that readers can apply statistical methods to their own longitudinal studies. This edition includes a new chapter on testing models that involve moderation and mediation, a new chapter on QALYs and QTWiST specific to clinical trials, and recent methodological developments for the analysis of trials with missing data. It also presents revised discussions of multiple comparisons procedures that focus on the integration of HRQoL outcomes with other study outcomes using gatekeeper strategies. Data sets, examples, applications, and SAS, R, and SPSS code are available on the book’s website.
• Chapman & Hall/CRC Interdisciplinary Statistics
Statistics for the Biological Sciences
Clinical Implementation
Reference
Professional

This text covers the most important classes of stochastic processes used in the modeling of diverse systems. For each class of stochastic process, the author includes its definition, characterization, applications, transient and limiting behavior, first passage times, and cost/reward models. Along with new appendices that collect results from analysis and differential and difference equations, this edition contains a new chapter on diffusion processes with applications to finance. It also offers a more streamlined, application-oriented approach to renewal, regenerative, and Markov regenerative processes as well as downloadable MATLAB ® -based programs on the author’s website. A solutions manual is available for qualifying instructors.
• Chapman & Hall/CRC Texts in Statistical Science
Operations Research
Mathematics & Statistics for Engineers
Operations Research
Textbook

Due to the advancement of the Internet, online communities are gaining increasing importance in the research community. Presented from a user's perspective, this book explores the diverse application areas of social computing and online communities. A significant portion of the text focuses on real-world case studies in which user behaviors, social mechanisms, and technological issues are investigated. Drawing from computer science, information systems, and social science, the book takes a multidisciplinary approach to evaluate virtual communities. It is useful for those who construct, moderate, and maintain online communities.
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Internet & Multimedia
Human Computer Interaction
Data Preparation & Mining
Reference
Professional