| 书目名称 | Several Real Variables |
| 编辑 | Shmuel Kantorovitz |
| 视频video | |
| 概述 | A modern, self-contained exposition of the basic analysis of functions of several real variables.An easy-to-read introduction to first-order logic and model theory.Presents the essential aspects of mo |
| 丛书名称 | Springer Undergraduate Mathematics Series |
| 图书封面 |  |
| 描述 | .This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as:.•The p-norms on vector space and their equivalence.•The Weierstrass and Stone-Weierstrass approximation theorems.•The differential as a linear functional; Jacobians, Hessians, and Taylor‘s theorem in several variables.•The Implicit Function Theorem for a system of equations, proved via Banach’s Fixed Point Theorem.•Applications to Ordinary Differential Equations.•Line integrals and an introduction to surface integrals.This book features numerous examples, detailed proofs, as well as exercises at the end of sections. Many of the exercises have detailed solutions, making the book suitable for self-study.. .Several Real Variables will be useful for undergraduate students in mathematics who have completed first courses in linear algebra and analysis of one real variable.. |
| 出版日期 | Textbook 2016 |
| 关键词 | complete metric space; compact set; continuous function; Weierstrass Approximation Theorem; Stone-Weiers |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-27956-5 |
| isbn_softcover | 978-3-319-27955-8 |
| isbn_ebook | 978-3-319-27956-5Series ISSN 1615-2085 Series E-ISSN 2197-4144 |
| issn_series | 1615-2085 |
| copyright | Springer International Publishing Switzerland 2016 |
发表于 2025-3-21 19:59:40
