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Titlebook: Exercises in Analysis; Part 1 Leszek Gasińksi,Nikolaos S. Papageorgiou Textbook 2014 Springer International Publishing Switzerland 2014 Mar

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书目名称Exercises in Analysis
副标题Part 1
编辑Leszek Gasińksi,Nikolaos S. Papageorgiou
视频video
概述Contains exercises ranging from easy to difficult, with level of difficulty designated.Features an encyclopedic volume of exercises in five core topics of mathematical analysis.Prepares students well
丛书名称Problem Books in Mathematics
图书封面Titlebook: Exercises in Analysis; Part 1 Leszek Gasińksi,Nikolaos S. Papageorgiou Textbook 2014 Springer International Publishing Switzerland 2014 Mar
描述.Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. At least 170 exercises/problems are presented for each topic, with solutions available at the end of each chapter. The entire collection of exercises offers a balanced and useful picture for the application surrounding each topic..This nearly encyclopedic coverage of exercises in mathematical analysis is the first of its kind and is accessible to a wide readership. Graduate students will find the collection of problems valuable in preparation for their preliminary or qualifying exams as well as for testing their deeper understanding of the material. Exercises are denoted by degree of difficulty. Instructors teaching courses that include one or all of the above-mentioned topics will find the exercises of great help
出版日期Textbook 2014
关键词Martingales; functional analysis; measure and integration; metric spaces; stochastic processes; topologic
版次1
doihttps://doi.org/10.1007/978-3-319-06176-4
isbn_softcover978-3-319-35535-1
isbn_ebook978-3-319-06176-4Series ISSN 0941-3502 Series E-ISSN 2197-8506
issn_series 0941-3502
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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Frobenius Distributions in GL2-ExtensionsIn the previous chapter, we considered measures defined on abstract .-algebras of sets. However, in most cases the underlying measure space has a natural topological structure. When we combine the measure theoretic and topological structures, we get a richer theory which we outline in this chapter.
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Operads, deformation theory and ,-manifolds,Banach spaces with their reach structure provide the basic framework for the development of modern nonlinear analysis. The aim of this chapter is to give a compact introduction to the core of Banach space theory (linear functional analysis) with emphasis on the theory concerning abstract spaces.
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Measure, Integral and Martingales,We start by defining some families of subsets of a set . that play a central role in measure theory.
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Measures and Topology,In the previous chapter, we considered measures defined on abstract .-algebras of sets. However, in most cases the underlying measure space has a natural topological structure. When we combine the measure theoretic and topological structures, we get a richer theory which we outline in this chapter.
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Functional Analysis,Banach spaces with their reach structure provide the basic framework for the development of modern nonlinear analysis. The aim of this chapter is to give a compact introduction to the core of Banach space theory (linear functional analysis) with emphasis on the theory concerning abstract spaces.
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