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Titlebook: Calculus to Analysis; An Introductory Tran Arturo Portnoy Textbook 2025 The Editor(s) (if applicable) and The Author(s), under exclusive li

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发表于 2025-3-21 19:08:37 | 显示全部楼层 |阅读模式
书目名称Calculus to Analysis
副标题An Introductory Tran
编辑Arturo Portnoy
视频video
概述Discusses mathematical analysis and provides the needed definitions, lemmas, and theorems.Features a concise presentation and is driven by examples of key concepts.Supplemented with online interactive
丛书名称Synthesis Lectures on Mathematics & Statistics
图书封面Titlebook: Calculus to Analysis; An Introductory Tran Arturo Portnoy Textbook 2025 The Editor(s) (if applicable) and The Author(s), under exclusive li
描述.This book addresses the analysis of functions of a real variable and transitions from the standard calculus sequence to mathematical analysis.  The author presents the limits and convergence of sequences of functions, illustrates the limitations of the Riemann integral, and discusses the need for a new integral: the Lebesgue integral.  The fundamental concepts of the theory of calculus of one variable is presented in addition to limits, continuity, derivatives and its applications, and integrals and their applications.  The tone and language of the book is kept as informal as possible along with the descriptions and examples to aid learning.  The book is concise and presents single variable advanced calculus leading up to Fourier analysis. In addition, the book sets up sufficient background for a course in measure theory and Lebesgue integration.  .
出版日期Textbook 2025
关键词Advanced Calculus for Teachers; Single Variable Calculus; Fourier Series; Mathematical Analysis; Mathema
版次1
doihttps://doi.org/10.1007/978-3-031-69662-6
isbn_softcover978-3-031-69664-0
isbn_ebook978-3-031-69662-6Series ISSN 1938-1743 Series E-ISSN 1938-1751
issn_series 1938-1743
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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Arturo PortnoyDiscusses mathematical analysis and provides the needed definitions, lemmas, and theorems.Features a concise presentation and is driven by examples of key concepts.Supplemented with online interactive
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Calculus to Analysis978-3-031-69662-6Series ISSN 1938-1743 Series E-ISSN 1938-1751
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Hao Su,Gregory A. Cole,Gregory S. FischerNow let’s consider real functions of a real variable, that is, functions that go from the real numbers to the real numbers. First, we must define what the limit of a function at a point means.
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