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Explanatory Model Analysis : Explore, Explain, and Examine Predictive Models
Explanatory Model Analysis Explore, Explain and Examine Predictive Models is a set of methods and tools designed to build better predictive models and to monitor their behaviour in a changing environment.Today, the true bottleneck in predictive modelling is neither the lack of data, nor the lack of computational power, nor inadequate algorithms, nor the lack of flexible models.It is the lack of tools for model exploration (extraction of relationships learned by the model), model explanation (understanding the key factors influencing model decisions) and model examination (identification of model weaknesses and evaluation of model's performance).This book presents a collection of model agnostic methods that may be used for any black-box model together with real-world applications to classification and regression problems.
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Connectome Analysis : Characterization, Methods, and Analysis
Connectome Analysis: Characterization, Methods, and Analysis is a comprehensive companion for the analysis of brain networks, or connectomes.The book provides sources of constituent structural and functional MRI signals, network construction and practices for analysis, cutting-edge methods that address the latest challenges in neuroscience, and the fundamentals of network theory in the context of giving practical methods for building connectomes for analysis.Emphasis is placed on quality control of the individual analysis steps.Subsequent chapters discuss networks in neuroscience in clinical and general populations, including how findings are related to underlying neurophysiology and neuropsychology. This book is aimed at students and early-career researchers in brain connectomics and neuroimaging who have a background in computer science, mathematics and physics, as well as more broadly to neuroscientists and psychologists who want to start incorporating connectomics into their research.
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Analysis
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Real Analysis
This is a course in real analysis directed at advanced undergraduates and beginning graduate students in mathematics and related fields.Presupposing only a modest background in real analysis or advanced calculus, the book offers something to specialists and non-specialists.The course consists of three major topics: metric and normed linear spaces, function spaces, and Lebesgue measure and integration on the line.In an informal style, the author gives motivation and overview of new ideas, while supplying full details and proofs.He includes historical commentary, recommends articles for specialists and non-specialists, and provides exercises and suggestions for further study.This text for a first graduate course in real analysis was written to accommodate the heterogeneous audiences found at the masters level: students interested in pure and applied mathematics, statistics, education, engineering, and economics.
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Conversation Analysis
Talk is a central activity in social life. But how is ordinary talk organized? How do people coordinate their talk in interaction? And what is the role of talk in wider social processes?Conversation Analysis has developed over the past forty years as a key method for studying social interaction and language use.Its unique perspective and systematic methods make it attractive to an interdisciplinary audience. In this second edition of their highly acclaimed introduction, Ian Hutchby and Robin Wooffitt offer a wide-ranging and accessible overview of key issues in the field.The second edition has been substantially revised to incorporate recent developments, including an entirely new final chapter exploring the contribution of Conversation Analysis to key issues in social science.The book provides a grounding in the theory and methods of Conversation Analysis, and demonstrates its procedures by analyzing a variety of concrete examples. Written in a lively and engaging style, Conversation Analysis has become indispensable reading for students and researchers in sociology, sociolinguistics, applied linguistics, social psychology, communication studies and anthropology.
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Functional Analysis
Since its inception in the early 20th century, Functional Analysis has become a core part of modern mathematics.This accessible and lucid textbook will guide students through the basics of Functional Analysis and the theory of Operator Algebras.The text begins with a review of Linear Algebra and Measure Theory.It progresses to concepts like Banach spaces, Hilbert spaces, Dual spaces and Weak Topologies.Subsequent chapters introduce the theory of operator algebras as a guide to study linear operators on a Hilbert space and cover topics such as Spectral Theory and C*-algebras.Theorems have been introduced and explained through proofs and examples, and historical background to the mathematical concepts have been provided wherever appropriate.At the end of chapters, practice exercises have been segregated in a topic-wise manner for targeted practice, making the book ideal both for classroom teaching as well as self-study.
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Handwriting Analysis
Having sold over 50,000 copies, "Handwriting Analysis" has been revised and expanded to include a new chapter on analyzing doodles.
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Understanding Analysis
This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable.In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of them.By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas.Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one. Fifteen years of classroom experience with the first edition of Understanding Analysis have solidified and refined the central narrative of the second edition.Roughly 150 new exercises join a selection of the best exercises fromthe first edition, and three more project-style sections have been added.Investigations of Euler’s computation of ?(2), the Weierstrass Approximation Theorem, and the gamma function are now among the book’s cohort of seminal results serving as motivation and payoff for the beginning student to master the methods of analysis.
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