| 書(shū)目名稱 | Understanding Analysis | | 編輯 | Stephen Abbott | | 視頻video | http://file.papertrans.cn/942/941300/941300.mp4 | | 概述 | Provides a polished and tuned-up version of the same core text that has proved successful with students and instructors for 15 years.Includes around 150 new exercises, in addition to around 200 of the | | 叢書(shū)名稱 | Undergraduate Texts in Mathematics | | 圖書(shū)封面 |  | | 描述 | .This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed to make sense of ?them. By focusing on the unifying themes of approximation and the resolution of paradoxes that arise in the transition from the finite to the infinite, the text turns what could be a daunting cascade of definitions and theorems into a coherent and engaging progression of ideas. Acutely aware of the need for rigor, the student is much better prepared to understand what constitutes a proper mathematical proof and how to write one..Fifteen years of classroom experience with the first edition of .Understanding Analysis. have solidified and refined the central narrative of the second edition. Roughly 150 new exercises join a selection of the best exercises fromthe first edition, and three more project-style sections have been added. Investigations of Euler’s computation of ζ(2), the Weierstrass Approximation - Theorem, and the gamma function are now among the book’s cohort o | | 出版日期 | Textbook 2015Latest edition | | 關(guān)鍵詞 | Abbott analysis; Baire Category Theorem; Calculus; Henstock integral; Riemann integral; Taylor series; Wei | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4939-2712-8 | | isbn_softcover | 978-1-4939-5026-3 | | isbn_ebook | 978-1-4939-2712-8Series ISSN 0172-6056 Series E-ISSN 2197-5604 | | issn_series | 0172-6056 | | copyright | Springer Science+Business Media, LLC, part of Springer Nature 2015 |
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