<p>In nature's infinite book ofsecrecy A little I can read. Antony and Cleopatra, l. ii. This is a book about a few elementary concepts of analysis and the mathe matical structures which enfold them. It is more concerned with the interplay amongst these concepts than with their many applications. T
Elements of Abstract Analysis
✍ Scribed by Mícheál Ó Searcóid
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Leaves
- 314
- Series
- Springer Undergraduate Mathematics Series
- Category
- Library
No coin nor oath required. For personal study only.
✦ Synopsis
While there are many books on functional analysis, Elements of Abstract Analysis takes a very different approach. Unlike other books, it provides a comprehensive overview of the elementary concepts of analysis while preparing students to cross the threshold of functional analysis. The book is written specifically for final-year undergraduate students who should already be familiar with most of the mathematical structures discussed. It reviews the concepts at a slightly greater level of abstraction and enables students to understand their place within the broad framework of set-based mathematics. The book has been clearly written and contains numerous exercises and examples, making it an a rigorous and self-contained introductory text on functional analysis.
📜 SIMILAR VOLUMES
From Preface: Abstract Harmonic Aualysis is an active branch of modern analysis which is increasing in importance as a standard course for the beginning graduate student. Concepts like Banach algebras, Haar measure, locally compact Abelian groups, etc., appear in many current research papers. Thi