An Introduction to Correspondence Analysis

An engaging and accessible introduction to mathematical proof incorporating ideas from real analysis A mathematical proof is an inferential argument for a mathematical statement. Since the time of the ancient Greek mathematicians, the proof has been a cornerstone of the science of mathematics. The goal of this book is to help students learn to follow and understand the function and structure of mathematical proof and to produce proofs of their own. An Introduction to Proof through Real Analysis is based on course material developed and refined over thirty years by Professor Daniel J. Madden and was designed to function as a complete text for both first proofs and first analysis courses. Written in an engaging and accessible narrative style, this book systematically covers the basic techniques of proof writing, beginning with real numbers and progressing to logic, set theory, topology, and continuity. The book proceeds from natural numbers to rational numbers in a familiar way, and justifies the need for a rigorous definition of real numbers. The mathematical climax of the story it tells is the Intermediate Value Theorem, which justifies the notion that the real numbers are sufficient for solving all geometric problems. • Concentrates solely on designing proofs by placing instruction on proof writing on top of discussions of specific mathematical subjects • Departs from traditional guides to proofs by incorporating elements of both real analysis and algebraic representation • Written in an engaging narrative style to tell the story of proof and its meaning, function, and construction • Uses a particular mathematical idea as the focus of each type of proof presented • Developed from material that has been class-tested and fine-tuned over thirty years in university introductory courses An Introduction to Proof through Real Analysis is the ideal introductory text to proofs for second and third-year undergraduate mathematics students, especially those who have completed a calculus sequence, students learning real analysis for the first time, and those learning proofs for the first time. Daniel J. Madden, PhD, is an Associate Professor of Mathematics at The University of Arizona, Tucson, Arizona, USA. He has taught a junior level course introducing students to the idea of a rigorous proof based on real analysis almost every semester since 1990. Dr. Madden is the winner of the 2015 Southwest Section of the Mathematical Association of America Distinguished Teacher Award. Jason A. Aubrey, PhD, is Assistant Professor of Mathematics and Director, Mathematics Center of the University of Arizona.

An Introduction to Syntactic Analysis and Theory offers beginning students a comprehensive overview of and introduction to our current understanding of the rules and principles that govern the syntax of natural languages. Includes numerous pedagogical features such as ‘practice’ boxes and sidebars, designed to facilitate understanding of both the ‘hows’ and the ‘whys’ of sentence structure Guides readers through syntactic and morphological structures in a progressive manner Takes the mystery out of one of the most crucial aspects of the workings of language – the principles and processes behind the structure of sentences Ideal for students with minimal knowledge of current syntactic research, it progresses in theoretical difficulty from basic ideas and theories to more complex and advanced, up to date concepts in syntactic theory

This book provides a clear and thorough introduction to meta-analysis, the process of synthesizing data from a series of separate studies. Meta-analysis has become a critically important tool in fields as diverse as medicine, pharmacology, epidemiology, education, psychology, business, and ecology. Introduction to Meta-Analysis: Outlines the role of meta-analysis in the research process Shows how to compute effects sizes and treatment effects Explains the fixed-effect and random-effects models for synthesizing data Demonstrates how to assess and interpret variation in effect size across studies Clarifies concepts using text and figures, followed by formulas and examples Explains how to avoid common mistakes in meta-analysis Discusses controversies in meta-analysis Features a web site with additional material and exercises A superb combination of lucid prose and informative graphics, written by four of the world’s leading experts on all aspects of meta-analysis. Borenstein, Hedges, Higgins, and Rothstein provide a refreshing departure from cookbook approaches with their clear explanations of the what and why of meta-analysis. The book is ideal as a course textbook or for self-study. My students, who used pre-publication versions of some of the chapters, raved about the clarity of the explanations and examples. David Rindskopf, Distinguished Professor of Educational Psychology, City University of New York, Graduate School and University Center, & Editor of the Journal of Educational and Behavioral Statistics. The approach taken by Introduction to Meta-analysis is intended to be primarily conceptual, and it is amazingly successful at achieving that goal. The reader can comfortably skip the formulas and still understand their application and underlying motivation. For the more statistically sophisticated reader, the relevant formulas and worked examples provide a superb practical guide to performing a meta-analysis. The book provides an eclectic mix of examples from education, social science, biomedical studies, and even ecology. For anyone considering leading a course in meta-analysis, or pursuing self-directed study, Introduction to Meta-analysis would be a clear first choice. Jesse A. Berlin, ScD Introduction to Meta-Analysis is an excellent resource for novices and experts alike. The book provides a clear and comprehensive presentation of all basic and most advanced approaches to meta-analysis. This book will be referenced for decades. Michael A. McDaniel, Professor of Human Resources and Organizational Behavior, Virginia Commonwealth University

A comprehensive overview of the internationalisation of correspondence analysis Correspondence Analysis: Theory, Practice and New Strategies examines the key issues of correspondence analysis, and discusses the new advances that have been made over the last 20 years. The main focus of this book is to provide a comprehensive discussion of some of the key technical and practical aspects of correspondence analysis, and to demonstrate how they may be put to use. Particular attention is given to the history and mathematical links of the developments made. These links include not just those major contributions made by researchers in Europe (which is where much of the attention surrounding correspondence analysis has focused) but also the important contributions made by researchers in other parts of the world. Key features include: A comprehensive international perspective on the key developments of correspondence analysis. Discussion of correspondence analysis for nominal and ordinal categorical data. Discussion of correspondence analysis of contingency tables with varying association structures (symmetric and non-symmetric relationship between two or more categorical variables). Extensive treatment of many of the members of the correspondence analysis family for two-way, three-way and multiple contingency tables. Correspondence Analysis offers a comprehensive and detailed overview of this topic which will be of value to academics, postgraduate students and researchers wanting a better understanding of correspondence analysis. Readers interested in the historical development, internationalisation and diverse applicability of correspondence analysis will also find much to enjoy in this book.

Thoroughly updated and revised, An Introduction to Sociolinguistics, 7th Edition presents a comprehensive and fully updated introduction to the study of the relationship between language and society. Building on Ronald Wardhaugh’s classic text, co-author Janet Fuller has updated this seventh edition throughout with new discussions exploring language and communities, language and interaction, and sociolinguistic variation, as well as incorporating numerous new exercises and research ideas for today’s students. Taking account of new research from the field, the book explores exciting new perspectives drawn from linguistic anthropology, and includes new chapters on pragmatics, discourse analysis, and sociolinguistics and education. With an emphasis on using examples from languages and cultures around the world, chapters address topics including social and regional dialects, multilingualism, discourse and pragmatics, variation, language in education, and language policy and planning. A new companion website including a wealth of additional online material, as well as a glossary and a variety of new exercises and examples, helps further illuminate the ideas presented in the text. An Introduction to Sociolinguistics, 7th Edition continues to be the most indispensable and accessible introduction to the field of sociolinguistics for students in applied and theoretical linguistics, education, and anthropology.

This new textbook is a lively and highly accessible introduction to philosophy. From the fundamental issues of philosophical thought to the latest theories in the philosophy of mind, An Introduction to Philosophy provides clear and incisive discussion of the key areas of philosophy for students new to the subject. Provides the tools new students need to tackle philosophical arguments themselves Clearly presents and explains contemporary issues and current debates Covers the key areas of philosophy, including perception, epistemology, metaphysics, the mind, philosophy of religion, ethics and political philosophy Contains numerous learning features such as introductions, summaries, questions and further reading An Introduction to Philosophy is an ideal text for AS level, A level and first-year undergraduate students or anyone studying the subject for the first time.

This fully revised textbook is a new edition of Ronald Wardhaugh’s popular and accessible An Introduction to Sociolinguistics. Provides an accessible, comprehensive introduction to sociolinguistics that reflects new developments in the field. Fully revised, with 130 new and updated references to bring the book completely up-to-date. Includes suggested readings, discussion sections, and exercises. Features increased emphasis on issues of identity, solidarity, and power Discusses topics such as language dialects, pidgins and creoles, codes, bilingualism, speech communities, variation, words and culture, ethnographies, solidarity and politeness, talk and action, gender, disadvantage, and planning. Designed for introductory and post-introductory students, and ideal for courses including introduction to sociolinguistics, aspects of sociolinguistics, and language and society.