This open access book provides an in-depth look into the background of rule of law problems and the open defiance of EU law in East Central European countries. Current illiberal trends and anti-EU politics have the potential to undermine mutual trust between member states and fundamentally change the EU. It is therefore crucial to understand their domestic causes, context conditions, specific p…
This volume is a comprehensive and rigorous exploration of intertwined issues surrounding the EU's democracy and legitimacy, written in the turbulent context of the financial crisis. The chapters are woven together under four interconnected thematic sections that examine: rapidly growing national euroscepticism; the Economic Monetary Union and its legitimacy; the future of EU integration; and d…
This book takes a close look at macroeconomic imbalances within the Eurozone and explores the profound consequences the introduction of the European Monetary Union (EMU) has had on Euro area countries. Particular attention is given to balance of payments deficits and surpluses, and the profound difficulties of rebalancing the Euro area. Throughout the chapters, the author argues that the EMU ha…
This well-illustrated book, by two established historians of school mathematics, documents Thomas Jefferson’s quest, after 1775, to introduce a form of decimal currency to the fledgling United States of America. The book describes a remarkable study showing how the United States’ decision to adopt a fully decimalized, carefully conceived national currency ultimately had a profound effect on…
The Lebesgue integral is an essential tool in the fields of analysis and stochastics and for this reason, in many areas where mathematics is applied. This textbook is a concise, lecture-tested introduction to measure and integration theory. It addresses the important topics of this theory and presents additional results which establish connections to other areas of mathematics. The arrangement …
This book covers the material of a one year course in real analysis. It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom. Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text. Hints are included for some of the more difficult …
This volume explores the role of territory in the creation, maintenance and extension of a new type of frontier, the electronic frontier, from a social and economic point of view. It departs from the earlier concepts of borders – state, social, economic, ethnic, religious, etc. – to investigate the fluidity of borders and their shift towards an axis-based paradigm within the free-movement …
This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces. Assuming the reader has a working familiarity with the basic results of Banach space theory, the authors focus on concepts of basic linear geometry, convexity, approximation, optimization, differentiability, renormings, weak compact generating, Schauder bases and…
Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates th…
This volume is a selection of written notes corresponding to courses taught at the CIMPA School: "New Trends in Applied Harmonic Analysis: Sparse Representations, Compressed Sensing and Multifractal Analysis". New interactions between harmonic analysis and signal and image processing have seen striking development in the last 10 years, and several technological deadlocks have been solved throug…