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Author: N. Bourbaki
Publisher: Springer Science & Business Media
ISBN: 9783540205852
Category : Mathematics
Languages : en
Pages : 344
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Book Description
Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations).
Author: N. Bourbaki
Publisher: Springer Science & Business Media
ISBN: 9783540205852
Category : Mathematics
Languages : en
Pages : 344
Get Book Here
Book Description
Integration is the sixth and last of the books that form the core of the Bourbaki series; it draws abundantly on the preceding five Books, especially General Topology and Topological Vector Spaces, making it a culmination of the core six. The power of the tool thus fashioned is strikingly displayed in Chapter II of the author's Théories Spectrales, an exposition, in a mere 38 pages, of abstract harmonic analysis and the structure of locally compact abelian groups. The first volume of the English translation comprises Chapters 1-6; the present volume completes the translation with the remaining Chapters 7-9. Chapters 1-5 received very substantial revisions in a second edition, including changes to some fundamental definitions. Chapters 6-8 are based on the first editions of Chapters 1-5. The English edition has given the author the opportunity to correct misprints, update references, clarify the concordance of Chapter 6 with the second editions of Chapters 1-5, and revise the definition of a key concept in Chapter 6 (measurable equivalence relations).
Author: Edwin Herman
Publisher:
ISBN: 9781947172838
Category : Calculus
Languages : en
Pages : 0
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Book Description
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author: Herbert Spencer
Publisher:
ISBN:
Category : Psychology
Languages : en
Pages : 780
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Book Description
Author: Herbert Spencer
Publisher:
ISBN:
Category : Philosophy
Languages : en
Pages : 780
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Book Description
Author: Herbert Spencer
Publisher:
ISBN:
Category :
Languages : en
Pages : 462
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Book Description
Author: Klaus Bichteler
Publisher: Springer Science & Business Media
ISBN: 9783764359362
Category : Mathematics
Languages : en
Pages : 216
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Book Description
This book covers Lebesgue integration and its generalizations from Daniell's point of view, modified by the use of seminorms. Integrating functions rather than measuring sets is posited as the main purpose of measure theory. From this point of view Lebesgue's integral can be had as a rather straightforward, even simplistic, extension of Riemann's integral; and its aims, definitions, and procedures can be motivated at an elementary level. The notion of measurability, for example, is suggested by Littlewood's observations rather than being conveyed authoritatively through definitions of (sigma)-algebras and good-cut-conditions, the latter of which are hard to justify and thus appear mysterious, even nettlesome, to the beginner. The approach taken provides the additional benefit of cutting the labor in half. The use of seminorms, ubiquitous in modern analysis, speeds things up even further. The book is intended for the reader who has some experience with proofs, a beginning graduate student for example. It might even be useful to the advanced mathematician who is confronted with situations - such as stochastic integration - where the set-measuring approach to integration does not work.
Author: Søren Dosenrode
Publisher: Ashgate Publishing, Ltd.
ISBN: 1472453360
Category : Political Science
Languages : en
Pages : 289
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Book Description
Regionalization in general and regional integration in particular have taken place at a growing pace since the end of the Cold War, when states were set free from various security overlays. Regional integration is ‘logical’ as it is supposed to advance wealth and peace. Still, the picture is far from clear and the process of regional integration is not automatic; disintegration takes place, as we saw in the cases of the Soviet Union, Yugoslavia and Czechoslovakia to mention a few. This is the case not only in states recently brought together but also in traditional states like Britain, The Netherlands and Spain where strong groups strive for independence. In some places regionalization is flourishing, but regional integration is not. Some regional integration projects like the North American Free Trade Agreement and Mercosur seem to stagnate. Certainly there are limits to regional integration. This comprehensive volume, written by high profiled academics, covers these themes by examining eleven cases ranging from the lack of integration in the Arctic and the Middle East, to ongoing or progressing integration in Europe to uncover what ‘blocks’ regional integration, the results of which are used for developing new theoretical insights.
Author: Frederick Shenstone Woods
Publisher:
ISBN:
Category :
Languages : en
Pages : 434
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Book Description
Author: Joseph Edwards
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 1010
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Book Description
Author: William Woolsey Johnson
Publisher:
ISBN:
Category : Calculus, Integral
Languages : en
Pages : 459
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Book Description
