| 書目名稱 | Introduction to Real Analysis | | 編輯 | Christopher Heil | | 視頻video | http://file.papertrans.cn/475/474122/474122.mp4 | | 概述 | Introduces real analysis to students with an emphasis on accessibility and clarity.Adapts the author’s successful, classroom-tested lecture notes to motivate a thorough exploration of real analysis.In | | 叢書名稱 | Graduate Texts in Mathematics | | 圖書封面 |  | | 描述 | .Developed over years of classroom use, this textbook provides a clear and accessible approach to real analysis. This modern interpretation is based on the author’s lecture notes and has been meticulously tailored to motivate students and inspire readers to explore the material, and to continue exploring even after they have finished the book. The definitions, theorems, and proofs contained within are presented with mathematical rigor, but conveyed in an accessible manner and with language and motivation meant for students who have not taken a previous course on this subject..The text covers all of the topics essential for an introductory course, including Lebesgue measure, measurable functions, Lebesgue integrals, differentiation, absolute continuity, Banach and Hilbert spaces, and more. Throughout each chapter, challenging exercises are presented, and the end of each section includes additional problems. Such an inclusive approach creates an abundance of opportunities for readers to develop their understanding, and aids instructors as they plan their coursework. Additional resources are available online, including expanded chapters, enrichment exercises, a detailed course outline | | 出版日期 | Textbook 2019 | | 關(guān)鍵詞 | Real analysis math; Real analysis introduction; Real analysis intro textbook; Lebesgue measure; Lebesgue | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-26903-6 | | isbn_ebook | 978-3-030-26903-6Series ISSN 0072-5285 Series E-ISSN 2197-5612 | | issn_series | 0072-5285 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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