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More copies of this ISBNOther titles in the Springer Undergraduate Mathematics series:
Elements of Abstract Analysis (SpringerPraxis Series in Aquaculture and Fisheries)by Micheal Osearcoid
Synopses & ReviewsPublisher Comments: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 finalyear 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 setbased mathematics.Carefully crafted, clearly written and precise, and with numerous exercises and examples, Elements of Abstract Analysis is a rigorous, selfcontained introduction to functional analysis that will also serve as a text on abstract mathematics.
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 finalyear 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 setbased mathematics. The book has been clearly written and contains numerous exercises and examples, making it an a rigorous and selfcontained introductory text on functional analysis.
Table of ContentsPreface. 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.
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Other books you might likeRelated SubjectsScience and Mathematics » Mathematics » Analysis General Science and Mathematics » Mathematics » Calculus » General Science and Mathematics » Mathematics » Functional Analysis Science and Mathematics » Mathematics » General Science and Mathematics » Mathematics » Probability and Statistics » General Science and Mathematics » Mathematics » Probability and Statistics » Statistics 

