When the first edition of this textbook published in 2011, it constituted a substantial revision of the best-selling Birkhäuser title by the same author, A Concise Introduction to the Theory of Integration. Appropriate as a primary text for a one-semester graduate course in integration theory, this GTM is also useful for independent study. A complete solutions manual is available for instructors who adopt the text for their courses. This second edition has been revised as follows: §2.2.5 and §8.3 have been substantially reworked. New topics have been added. As an application of the material about Hermite functions in §7.3.2, the author has added a brief introduction to Schwartz's theory of tempered distributions in §7.3.4. Section §7.4 is entirely new and contains applications, including the Central Limit Theorem, of Fourier analysis to measures. Related to this are subsections §8.2.5 and §8.2.6, where Lévy's Continuity Theorem and Bochner's characterization of the Fourier transforms of Borel probability on RN are proven. Subsection 8.1.2 is new and contains a proof of the Hahn Decomposition Theorem. Finally, there are several new exercises, some covering material from the original edition and others based on newly added material.

This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory. Chapters discuss: function spaces and functionals, extension of Daniell spaces, measures of Hausdorff spaces, spaces of measures, elements of the theory of real functions on R.

This book provides an introductory chapter containing background material as well as a mini-overview of much of the course, making the book accessible to readers with varied backgrounds. It uses a wealth of examples to introduce topics and to illustrate important concepts.KEY TOPICS:Explains the ideas behind developments and proofs -- showing that proofs come not from "magical methods" but from natural processes. Introduces concepts in stages, and features applications of abstract theorems to concrete settings -- showing the power of an abstract approach in problem solving.

Some of the finest essays in the social sciences, written by one of the twentieth century's most influential and provocative thinkers ​​​ The Essential Hirschman brings together some of the finest essays in the social sciences, written by one of the twentieth century's most influential and provocative thinkers. Albert O. Hirschman was a master essayist, one who possessed the rare ability to blend the precision of economics with the elegance of literary imagination. In an age in which our academic disciplines require ever-greater specialization and narrowness, it is rare to encounter an intellectual who can transform how we think about inequality by writing about traffic, or who can slip in a quote from Flaubert to reveal something surprising about taxes. The essays gathered here span an astonishing range of topics and perspectives, including industrialization in Latin America, imagining reform as more than repair, the relationship between imagination and leadership, routine thinking and the marketplace, and the ways our arguments affect democratic life. Throughout, we find humor, unforgettable metaphors, brilliant analysis, and elegance of style that give Hirschman such a singular voice. Featuring an introduction by Jeremy Adelman that places each of these essays in context as well as an insightful afterword by Emma Rothschild and Amartya Sen, The Essential Hirschman is the ideal introduction to Hirschman for a new generation of readers and a must-have collection for anyone seeking his most important writings in one book.

Scientific knowledge and practical advice are combined in this book. Leading scientists present their latest research results in the area of product and price bundling, with respect to optimization as well as to behavioral bundling approaches. In addition the reader will learn how to implement bundling strategies and how to set up a bundling concept. He will find a thorough explanation of the value that bundling has for improving a company`s profit and sales.

This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.

This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.

Language users, such as survey respondents and interviewers, must speak the same language literally and figuratively to interact with each other. As diversity grows in the United States and globally, interviewers and respondents may speak a different language or speak the same language differently that reflects their own cultural norms of communication. This book discusses the role of language in survey research when comparisons across groups, cultures, and countries are of interest. Language use in surveys is dynamic, including words, symbols (e.g., arrows), and even emojis. The entire survey life cycle is carried out through language. Researchers write or translate questions and instructions that will address research questions and then pretest them using various techniques, including qualitative inquiry that focuses on context beyond just “the numbers.” Human or virtual data collectors use persuasive messages to communicate with survey respondents and encourage their survey participation. Respondents must comprehend and interpret survey questions and instructions to provide a response. All of these survey processes and products contribute to data quality, and the role of language is essential. Praise for The Essential Role of Language in Survey Research “This book highlights the importance of language issues for data quality, provides frameworks for conceptualizing the underlying processes, presents diverse methods for identifying problems at an early stage, and illustratesand evaluates potential solutions in the form of improved translation and pretesting procedures.” --Daphna Oyserman and Norbert Schwarz, University of Southern California “The role of language and issues of language are particularly salient for multinational, multiregional, or multicultural (3MC) comparative surveys that are designed to collect data and compare findings from two or more populations. This book highlights the critical need to consider a range ofissues pertaining to language at various aspects and stages of 3MC survey design and implementation.” --Julie de Jong, Kristen Cibelli Hibben, and Jennifer Kelley, University of Michigan, and Dorothée Behr, GESIS–Leibniz Institute for the Social Sciences, Germany “The need to reach increasingly diverse target populations requires survey researchers to be ever more aware of the role of verbal and nonverbal language in the survey research process. This book provides a great resource for readers new to the subject, as well as experts, seeking to understand the implications of language for survey design, implementation, and resulting data quality.” --Antje Kirchner, RTI International, and Coeditor of Big Data Meets Survey Science: A Collection of Innovative Methods “Covering a range of topics fundamental to high-quality surveys in cross-cultural contexts, this new volume features ‘language’ in its varied roles within survey methodology and practice, including questionnaire design, translation, and fieldwork implementation for quantitative and qualitative research. The Essential Role of Language in Survey Research uses in-country examples and analyses from across the globe to underscore specific challenges that survey researchers confront in their work.” --Patrick Moynihan and Martha McRoy, Pew Research Center

Profiles more than 150 mathematicians from around the world who made important contributions to their field, including Rene Descartes, Emily Noether and Bernhard Riemann.

This highly practical book introduces the whole range of grounded theory approaches, providing a comprehensive description of the strategies and techniques employed in this methodology. Unlike most existing books in this area, it is not written from a particular philosophical standpoint, and is the ideal first introduction for any student or researcher looking to use grounded theory in their analysis for the first time. Birks and Mills’ accessible and highly-readable text is driven by practical case examples throughout to help the reader get to grips with the process of doing grounded theory analysis for themselves. The book deploys a variety of educational activities to guide readers through both the principles and the application of grounded theory, making this an ideal starter text for those new to the approach. This updated Second Edition: guides the reader through each step of the grounded theory process clearly explains how to memo effectively, using examples includes a chapter which explains the difference between data generation and collection features information on how to use digital resources to manage data discusses the philosophy and ethics of grounded theory within the qualitative paradigm.