Gratis Versand in ganz Österreich
Bookbot

Mícheál Ó. Searcóid

    Metric spaces
    Elements of abstract analysis
    • Elements of abstract analysis

      • 312 Seiten
      • 11 Lesestunden
      5,0(3)Abgeben

      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.

      Elements of abstract analysis
    • Metric spaces

      • 304 Seiten
      • 11 Lesestunden
      4,6(9)Abgeben

      The abstract concepts of metric spaces are often perceived as difficult. This book offers a unique approach to the subject which gives readers the advantage of a new perspective on ideas familiar from the analysis of a real line. Rather than passing quickly from the definition of a metric to the more abstract concepts of convergence and continuity, the author takes the concrete notion of distance as far as possible, illustrating the text with examples and naturally arising questions. Attention to detail at this stage is designed to prepare the reader to understand the more abstract ideas with relative ease.

      Metric spaces