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Titlebook: Measure, Integration & Real Analysis; Sheldon Axler Textbook‘‘‘‘‘‘‘‘ 2020 Sheldon Axler 2020 Measure theory textbook.Graduate real analysi

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书目名称Measure, Integration & Real Analysis
编辑Sheldon Axler
视频video
概述Electronic version is free to the world via Springer’s Open Access program.Provides student-friendly explanations with ample examples and exercises throughout.Includes chapters on Hilbert space operat
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: Measure, Integration & Real Analysis;  Sheldon Axler Textbook‘‘‘‘‘‘‘‘ 2020 Sheldon Axler 2020 Measure theory textbook.Graduate real analysi
描述.This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key results. Content is carefully curated to suit a single course, or two-semester sequence of courses, creating a versatile entry point for graduate studies in all areas of pure and applied mathematics..Motivated by a brief review of Riemann integration and its deficiencies, the text begins by immersing students in the concepts of measure and integration. Lebesgue measure and abstract measures are developed together, with each providing key insight into the main ideas of the other approach. Lebesgue integration links into results such as the Lebesgue Differentiation Theorem. The development of products of abstract measures leads to Lebesgue measure on .R.n...Chapters on Banach spaces, .L.p. spaces, and Hilbert spaces showcase major results such as the Hahn–Banach Theorem, Hölder’s Inequality, and the Riesz Representation Theorem. An in-depth study of linear maps on Hilbert spaces culminates in the Spectral Theorem and Singular Value Decomposition for
出版日期Textbook‘‘‘‘‘‘‘‘ 2020
关键词Measure theory textbook; Graduate real analysis textbook; Open Access; Riemann integration; Lebesgue int
版次1
doihttps://doi.org/10.1007/978-3-030-33143-6
isbn_ebook978-3-030-33143-6Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSheldon Axler 2020
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0072-5285 ercises throughout.Includes chapters on Hilbert space operat.This open access textbook welcomes students into the fundamental theory of measure, integration, and real analysis. Focusing on an accessible approach, Axler lays the foundations for further study by promoting a deep understanding of key r
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Their efforts were followed by several trials with toxic parenteral agents before Dr. Moses Swick reported the first successful intravenous urogram, using Uroselectan, 17 years later. Since that time, significant innovations in renal imaging have taken place as a result of the development of ultras
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Sheldon Axlerological, surgical and radiological textbooks rather than turn to one work on the subject. It is also true that, even now, many descriptions tend to concentrate on the causative conditions rather than their relationship to the proximal outflow tract, in a way which is predominantly structural and an
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Sheldon Axler were held in London UK (1994), Dublin Ireland (1995) and again in London in 1996. In response to the Call for Papers we received 91 submissions which were reviewed by members of the Program Committee. Each paper was refereed by at least three reviewers, and following discussion with PC members, 40
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Sheldon Axler were held in London UK (1994), Dublin Ireland (1995) and again in London in 1996. In response to the Call for Papers we received 91 submissions which were reviewed by members of the Program Committee. Each paper was refereed by at least three reviewers, and following discussion with PC members, 40
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Sheldon Axler were held in London UK (1994), Dublin Ireland (1995) and again in London in 1996. In response to the Call for Papers we received 91 submissions which were reviewed by members of the Program Committee. Each paper was refereed by at least three reviewers, and following discussion with PC members, 40
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