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Titlebook: Basic Real Analysis; Anthony W. Knapp Textbook 2005 Birkh�user Boston 2005 Compact space.Fourier series.Fourier transform.Lebesgue integra

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发表于 2025-3-21 18:32:21 | 显示全部楼层 |阅读模式
期刊全称Basic Real Analysis
影响因子2023Anthony W. Knapp
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发行地址Systematically develop the concepts and tools that are vital to every mathematician, whether pure or applied, aspiring or established.A comprehensive treatment with a global view of the subject, empha
学科分类Cornerstones
图书封面Titlebook: Basic Real Analysis;  Anthony W. Knapp Textbook 2005 Birkh�user Boston 2005 Compact space.Fourier series.Fourier transform.Lebesgue integra
影响因子.Basic Real Analysis. systematically develops those concepts and tools in real analysis that are vital to every mathematician, whether pure or applied, aspiring or established. Along with a companion volume .Advanced Real Analysis. (available separately or together as a Set), these works present a comprehensive treatment with a global view of the subject, emphasizing the connections between real analysis and other branches of mathematics. . .Basic Real Analysis. requires of the reader only familiarity with some linear algebra and real variable theory, the very beginning of group theory, and an acquaintance with proofs. It is suitable as a text in an advanced undergraduate course in real variable theory and in most basic graduate courses in Lebesgue integration and related topics. Because it focuses on what every young mathematician needs to know about real analysis, the book is ideal both as a course text and for self-study, especially for graduate studentspreparing for qualifying examinations. Its scope and approach will appeal to instructors and professors in nearly all areas of pure mathematics, as well as applied mathematicians working in analytic areas such as statistics, math
Pindex Textbook 2005
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发表于 2025-3-21 23:46:04 | 显示全部楼层
Theory of Calculus in One Real Variable,ppendix at the end of the book. The point of view being established is the use of defining properties of the real number system to prove the Bolzano-Weierstrass Theorem, followed by the use of that theorem to prove some of the difficult theorems that are usually assumed in a one-variable calculus co
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Theory of Calculus in Several Real Variables,will be applied in Chapter IV. Section 5 establishes the existence of partitions of unity in Euclidean space; this result will be applied at the end of Section 10..Section 6 returns to the development in Section 2 and proves two important theorems about differential calculus. The Inverse Function Th
发表于 2025-3-22 11:14:58 | 显示全部楼层
Theory of Ordinary Differential Equations and Systems, curves for a vector field and to construction of coordinate systems from families of integral curves..Sections 5–8 concern linear systems. Section 5 shows that local solutions of linear systems may be extended to global solutions and that in the homogeneous case the vector space of global solutions
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Measure Theory for Euclidean Space, form having been given in Chapter III..Section 5 gives the final form of the change-of-variables theorem for integration, starting from the preliminary form of the theorem in Chapter III and taking advantage of the ease with which limits can be handled by the Lebesgue integral. Sard’s Theorem allow
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Lp Spaces, <- . < ∞ when the underlying measure is σ-finite. For one thing this identification makes Alaoglu’s Theorem in Chapter V concrete enough so as to be quite useful..Section 6 discusses the Marcinkiewicz Interpolation Theorem, which allows one to reinterpret suitably bounded operators between two pair
发表于 2025-3-23 08:23:07 | 显示全部楼层
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