Theories of Integration

Theories of Integration PDF Author: Douglas S. Kurtz
Publisher: World Scientific
ISBN: 9789812388438
Category : Mathematics
Languages : en
Pages : 286

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Book Description
This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.

Theories of Integration

Theories of Integration PDF Author: Douglas S. Kurtz
Publisher: World Scientific
ISBN: 9789812388438
Category : Mathematics
Languages : en
Pages : 286

Get Book Here

Book Description
This book presents a historical development of the integration theories of Riemann, Lebesgue, Henstock-Kurzweil, and McShane, showing how new theories of integration were developed to solve problems that earlier theories could not handle. It develops the basic properties of each integral in detail and provides comparisons of the different integrals. The chapters covering each integral are essentially independent and can be used separately in teaching a portion of an introductory course on real analysis. There is a sufficient supply of exercises to make the book useful as a textbook.

European Integration Theory

European Integration Theory PDF Author: Antje Wiener
Publisher: Oxford University Press
ISBN: 0198737319
Category : Law
Languages : en
Pages : 355

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Book Description
With coverage of both traditional and critical theories and approaches to European integration and their application, this is the most comprehensive textbook on European integration theory and an essential guide for all students and scholars interested in the subject. Throughout the text, a team of leading international scholars demonstrate the current relevance of integration theory as they apply these approaches to real-world developments and crises in the contemporary European Union.

A European Security Architecture After the Cold War

A European Security Architecture After the Cold War PDF Author: Gülnur Aybet
Publisher: Palgrave Macmillan
ISBN: 9780312230579
Category : History
Languages : en
Pages : 332

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Book Description
The development of a European security architecture comprising NATO, the EU, WEU, and the OSCE exemplifies the redefinition of Western values and institutions in the post-Cold War era. The precedents for legitimate intervention in upholding democracy, free markets and human rights in the post-Cold war era are examined from the perspectives of international law and Gramscian-derived concepts of legitimacy focusing on the acceptance of military power by civil society.

A Course on Integration Theory

A Course on Integration Theory PDF Author: Nicolas Lerner
Publisher: Springer
ISBN: 3034806949
Category : Mathematics
Languages : en
Pages : 504

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Book Description
This textbook provides a detailed treatment of abstract integration theory, construction of the Lebesgue measure via the Riesz-Markov Theorem and also via the Carathéodory Theorem. It also includes some elementary properties of Hausdorff measures as well as the basic properties of spaces of integrable functions and standard theorems on integrals depending on a parameter. Integration on a product space, change of variables formulas as well as the construction and study of classical Cantor sets are treated in detail. Classical convolution inequalities, such as Young's inequality and Hardy-Littlewood-Sobolev inequality are proven. The Radon-Nikodym theorem, notions of harmonic analysis, classical inequalities and interpolation theorems, including Marcinkiewicz's theorem, the definition of Lebesgue points and Lebesgue differentiation theorem are further topics included. A detailed appendix provides the reader with various elements of elementary mathematics, such as a discussion around the calculation of antiderivatives or the Gamma function. The appendix also provides more advanced material such as some basic properties of cardinals and ordinals which are useful in the study of measurability.​

Gendering European Integration Theory

Gendering European Integration Theory PDF Author: Gabriele Abels
Publisher: Verlag Barbara Budrich
ISBN: 3847402560
Category : Social Science
Languages : en
Pages : 304

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Book Description
The authors engage a dialogue between European integration theories and gender studies. The contributions illustrate where and how gender scholarship has made creative use of integration theories and thus contributes to a vivid theoretical debate. The chapters are designed to make gender scholarship more visible to integration theory and, in this way stimulates the broader theoretical debates. Investigating the whole range of integration theory with a gender lens, the authors illustrate if and how gender scholarship has made or can make creative use of integration theories.

The Theory of Economic Integration (Routledge Revivals)

The Theory of Economic Integration (Routledge Revivals) PDF Author: Bela Balassa
Publisher: Routledge
ISBN: 1136646310
Category : Business & Economics
Languages : en
Pages : 319

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Book Description
First published in 1962, The Theory of Economic Integration provides an excellent exposition of a complex and far-reaching topic. Professor Balassa has been remarkably successful in covering so much ground with such care and balance, in a treatment which is neither in any way abstruse nor unnecessarily technical. His book will interest economists in Europe by reason of its subject and treatment, but it is also a valuable and reliable textbook for students tackling integration as part of a course of International Economics and for those studying Public Finance. He distinguishes between the various forms of integration (free trade area, customs union, common market, economics union, and total integration). In addition, he applies the theoretical principles to current projects such as the European Common Market and Free Trade Area, and to Latin American integration projects. In offering this theoretical study, the author builds on the conclusions of other writers, but goes beyond this in providing a unifying framework for previous contributions and in exploring questions that in the past received little attention – in particular, the relationship between economic integration and growth (especially the interrelationship between market size and growth, and the implications of various factors for economic growth in an integrated area).

The Choice for Europe

The Choice for Europe PDF Author: Andrew Moravcsik
Publisher: Routledge
ISBN: 1134215347
Category : Political Science
Languages : en
Pages : 529

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Book Description
The creation of the European Union arguably ranks among the most extraordinary achievements in modern world politics. Observers disagree, however, about the reasons why European governments have chosen to co- ordinate core economic policies and surrender sovereign perogatives. This text analyzes the history of the region's movement toward economic and political union. Do these unifying steps demonstrate the pre-eminence of national security concerns, the power of federalist ideals, the skill of political entrepreneurs like Jean Monnet and Jacques Delors, or the triumph of technocratic planning? Moravcsik rejects such views. Economic interdependence has been, he maintains, the primary force compelling these democracies to move in this surprising direction. Politicians rationally pursued national economic advantage through the exploitation of asymmetrical interdependence and the manipulation of institutional commitments.

Integration of Ecosystem Theories: A Pattern

Integration of Ecosystem Theories: A Pattern PDF Author: Sven Erik Jørgensen
Publisher: Springer Science & Business Media
ISBN: 9781402006517
Category : Mathematics
Languages : en
Pages : 444

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Book Description
The book presents an integration of existing ecosystem theories in such a comprehensive way as to enable a full ecological and theoretical pattern to be presented. It shows that ecosystems and their reactions may be understood, provided that all basic systems ecology is applied to different aspects of the properties of ecosystems. Since the publication of the previous two editions of this book, ongoing research and discussions on an international scale have greatly clarified and enhanced this pattern. This progress is presented as Chapter 16 in this new, third edition. It is shown that the integrated ecosystem theory presented can be applied to explain various ecological observations and rules. Audience: Researchers and decision makers whose work involves the study of ecosystems and ecology. This book is also recommended for use in graduate courses.

General Theory of Functions and Integration

General Theory of Functions and Integration PDF Author: Angus E. Taylor
Publisher: Courier Corporation
ISBN: 9780486152141
Category : Mathematics
Languages : en
Pages : 456

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Book Description
Presenting the various approaches to the study of integration, a well-known mathematics professor brings together in one volume "a blend of the particular and the general, of the concrete and the abstract." This volume is suitable for advanced undergraduates and graduate courses as well as for independent study. 1966 edition.

Geometric Integration Theory

Geometric Integration Theory PDF Author: Steven G. Krantz
Publisher: Springer Science & Business Media
ISBN: 0817646795
Category : Mathematics
Languages : en
Pages : 344

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Book Description
This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a natural language in which to formulate types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis. Motivating key ideas with examples and figures, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.