Historical introduction -- The Riemann integral -- The Darboux integral -- A functional zoo -- Another approach : measure theory -- The Lebesgue integral -- The Gauge integral -- Stieltjes-type integrals and extensions -- A look back -- Afterword : L2 spaces and Fourier series

Principles of Data Integration is the first comprehensive textbook of data integration, covering theoretical principles and implementation issues as well as current challenges raised by the semantic web and cloud computing. The book offers a range of data integration solutions enabling you to focus on what is most relevant to the problem at hand. Readers will also learn how to build their own algorithms and implement their own data integration application. Written by three of the most respected experts in the field, this book provides an extensive introduction to the theory and concepts underlying today's data integration techniques, with detailed, instruction for their application using concrete examples throughout to explain the concepts. This text is an ideal resource for database practitioners in industry, including data warehouse engineers, database system designers, data architects/enterprise architects, database researchers, statisticians, and data analysts; students in data analytics and knowledge discovery; and other data professionals working at the R&D and implementation levels. Offers a range of data integration solutions enabling you to focus on what is most relevant to the problem at hand Enables you to build your own algorithms and implement your own data integration applications

Geared toward upper-level undergraduates and graduate students, this treatment of geometric integration theory consists of an introduction to classical theory, a postulational approach to general theory, and a section on Lebesgue theory. 1957 edition.

This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and was further developed by Denef & Loeser and Sebag. It is presented in the context of formal schemes over a discrete valuation ring, without any restriction on the residue characteristic. The text first discusses the main features of the Grothendieck ring of varieties, arc schemes, and Greenberg schemes. It then moves on to motivic integration and its applications to birational geometry and non-Archimedean geometry. Also included in the work is a prologue on p-adic analytic manifolds, which served as a model for motivic integration. With its extensive discussion of preliminaries and applications, this book is an ideal resource for graduate students of algebraic geometry and researchers of motivic integration. It will also serve as a motivation for more recent and sophisticated theories that have been developed since.

This book explores the links between European integration and globalisation, and examines the potential for social transformation in the context of the global economic crisis and the resulting EU reforms. Divided into three parts, this book offers both empirical and theoretical analyses of social integration, supranationality and global competition. Drawing on Critical Political Economy research, Neo-Gramscian, Open Marxist, Regulationist and Post-structuralist scholars subject a wide range of European flagship policies in matters of competition, trade and security to critical scrutiny and relate them to global political economy dynamics. Contributors examine the ways in which current global economic turbulence has affected the European Union, its membership and its adjacent areas, and determine the potential for economic and political transformation in light of the global economic crisis and Europe's 2020 Strategy. In the emerging multi-polar world, in which the EU and the US are expected to share global policymaking with new powers, this book argues for a revised conceptualisation of European integration and its relationship with globalisation. Globalisation and European Integration will be of interest to students, scholars and researchers of globalisation, political economy, international relations, and European Union politics.