| 书目名称 | Fundamentals of Real and Complex Analysis |
| 编辑 | Asuman Güven Aksoy |
| 视频video | |
| 概述 | Especially useful for graduate students taking qualifying exams in analysis.Bridges the gap between undergraduate and graduate mathematics.Conversational and accessible to eager mathematics majors |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | .The primary aim of this text is to help transition undergraduates to study graduate level mathematics. It unites real and complex analysis after developing the basic techniques and aims at a larger readership than that of similar textbooks that have been published, as fewer mathematical requisites are required. The idea is to present analysis as a whole and emphasize the strong connections between various branches of the field. Ample examples and exercises reinforce concepts, and a helpful bibliography guides those wishing to delve deeper into particular topics. Graduate students who are studying for their qualifying exams in analysis will find use in this text, as well as those looking to advance their mathematical studies or who are moving on to explore another quantitative science..Chapter 1 contains many tools for higher mathematics; its content is easily accessible, though not elementary. Chapter 2 focuses on topics in real analysis such as .p.-adic completion, Banach Contraction Mapping Theorem and its applications, Fourier series, Lebesgue measure and integration. One of this chapter’s unique features is its treatment of functional equations. Chapter 3 covers the essential |
| 出版日期 | Textbook 2024 |
| 关键词 | Analysis qualifying exam; Riemann integral; continuous functions; Banach-Tarski paradox; holomorphic fun |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-54831-4 |
| isbn_softcover | 978-3-031-54830-7 |
| isbn_ebook | 978-3-031-54831-4Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:52:48
