Elements of Abstract Analysis

Michael O Searcoid

298 pages, parution le 21/01/2002

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Résumé

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 - for example, rings, linear spaces, and metric spaces - and with many of the principal analytical concepts - convergence, connectedness, continuity, compactness and completeness. 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.
Carefully crafted, clearly written and precise, and with numerous exercises and examples, Elements of Abstract Analysis is a rigorous, self-contained introduction to functional analysis that will also serve as a text on abstract mathematics.

Contents:

Preface.
List of Symbols.
Sets.
Counting.
Algebraic Structure.
Analytic Structure.
Linear Structure.
Geometric Structure.
Topological Structure.
Continuity and Openness.
Connectedness.
Convergence.
Compactness.
Completeness.
Solutions.
Bibliography.
Subject Index.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Michael O Searcoid
Parution	21/01/2002
Nb. de pages	298
Format	17 x 23,5
Couverture	Broché
Poids	509g
Intérieur	Noir et Blanc
EAN13	9781852334246
ISBN13	978-1-85233-424-6