This book is a self-contained introduction to real analysis assuming only basic notions on limits of sequences in ]RN, manipulations of series, their convergence criteria, advanced differential calculus, and basic algebra of sets. The passage from the setting in ]RN to abstract spaces and their topologies is gradual. Continuous reference is made to the ]RN setting, where most of the basic concepts originated. The first seven chapters contain material forming the backbone of a basic training in real analysis. The remaining ...

Real Analysis 2016, Birkhauser

ISBN-13: 9781493940035

2nd 2016 edition

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Real Analysis 2012, Birkhauser

ISBN-13: 9781461266204

2002 edition

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Real Analysis 2002, Birkhauser, Boston, MA

ISBN-13: 9780817642310

2002 edition

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