书目名称 | Real Analysis for the Undergraduate |
副标题 | With an Invitation t |
编辑 | Matthew A. Pons |
视频video | |
概述 | Engaging style makes complex concepts accessible to a broad audience.Examples and illustrations accompany formal proofs.Over 450 exercises help readers develop connections between the concrete and abs |
图书封面 |  |
描述 | This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduate study, the text is designed for the beginner. The author’s engaging style makes advanced topics approachable without sacrificing rigor. The text also consistently encourages the reader to pick up a pencil and take an active part in the learning process. Key features include: - examples to reinforce theory; - thorough explanations preceding definitions, theorems and formal proofs; - illustrations to support intuition; - over 450 exercises designed to develop connections between the concrete and abstract. This text takes students on a journey through the basics of real analysis and provides those who wish to delve deeper the opportunity to experience mathematical ideas that are beyond the standard undergraduate curriculum. |
出版日期 | Textbook 2014 |
关键词 | Functional Analysis; Integrals; Lebesgue Theory; Limits; Real Analysis |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-9638-0 |
isbn_softcover | 978-1-4939-4649-5 |
isbn_ebook | 978-1-4614-9638-0 |
copyright | Springer Science+Business Media New York 2014 |