Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series) pdf epub mobi txt 电子书下载 2024

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John R. Giles

Cambridge University Press

1987-09-25

272

USD 44.99

Paperback

9780521359283

图书标签: Mathematics

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发表于2024-11-13

Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series) pdf epub mobi txt 电子书下载 2024

图书描述

This is an introduction to the analysis of metric and normed linear spaces for undergraduate students in mathematics. Assuming a basic knowledge of real analysis and linear algebra, the student is exposed to the axiomatic method in analysis and is shown its power in exploiting the structure of fundamental analysis, which underlies a variety of applications. An example is the link between normed linear spaces and linear algebra; finite dimensional spaces are discussed early. The treatment progresses from the concrete to the abstract: thus metric spaces are studied in some detail before general topology is begun, though topological properties of metric spaces are explored in the book. Graded exercises are provided at the end of each section; in each set the earlier exercises are designed to assist in the detection of the structural properties in concrete examples while the later ones are more conceptually sophisticated.

Introduction to the Analysis of Metric Spaces (Australian Mathematical Society Lecture Series) 下载 mobi epub pdf txt 电子书