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 |  |
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 |
doi | https://doi.org/10.1007/978-3-031-69662-6 |
isbn_softcover | 978-3-031-69664-0 |
isbn_ebook | 978-3-031-69662-6Series ISSN 1938-1743 Series E-ISSN 1938-1751 |
issn_series | 1938-1743 |
copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |