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Titlebook: An Introduction to Modern Analysis; Vicente Montesinos,Peter Zizler,Václav Zizler Textbook 2015 Springer International Publishing Switzerl

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期刊全称An Introduction to Modern Analysis
影响因子2023Vicente Montesinos,Peter Zizler,Václav Zizler
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发行地址Carefully examines the main principles, results and techniques in advanced undergraduate real analysis courses.Fully self-contained, it presents proofs and an ample amount of nontrivial exercises with
图书封面Titlebook: An Introduction to Modern Analysis;  Vicente Montesinos,Peter Zizler,Václav Zizler Textbook 2015 Springer International Publishing Switzerl
影响因子Examining the basic principles in real analysis and their applications, this text provides a self-contained resource for graduate and advanced undergraduate courses. It contains independent chapters aimed at various fields of application, enhanced by highly advanced graphics and results explained and supplemented with practical and theoretical exercises. The presentation of the book is meant to provide natural connections to classical fields of applications such as Fourier analysis or statistics. However, the book also covers modern areas of research, including new and seminal results in the area of functional analysis.   
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发表于 2025-3-22 00:11:34 | 显示全部楼层
978-3-319-35549-8Springer International Publishing Switzerland 2015
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Vicente Montesinos,Peter Zizler,Václav ZizlerCarefully examines the main principles, results and techniques in advanced undergraduate real analysis courses.Fully self-contained, it presents proofs and an ample amount of nontrivial exercises with
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Translations- und Verlagerungshypothese,ach to it in order to explain the analytic theory of heat— is to represent functions . defined on . as the sum of a series whose terms are simple trigonometric functions, i.e., the nowadays called .., a series of the form .. This aim may look difficult to achieve, since . is not, in general, .-perio
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Hans-Ernst Schwiete,Rainer Gauglitzets are usually not compact, the measure theory is of limited use, linear operators may not have eigenvalues even in the complex case, or even reasonable continuous functions do not attain their extrema on closed bounded sets, just to mention some difficulties. Thus we encounter there problems addit
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Zur Politik der Transformativen WissenschaftIn this chapter we introduce the system of real numbers and study the basic structural properties of this space. We will meet among others the following three principles: The concept of compactness, the principle of the supremum, and the Baire Category method.
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