Using updated terminology, this revision begins with a quick review of the essential properties of real numbers and gradually proceeds to more complex properties and topics, thus the basic ideas of real analysis are presented in a natural sequence. New additions include a chapter on metric spaces which contains various lucid examples, the topological framework--open and closed sets, convergence, completeness, compactness and connectedness--as well as numerous new exercises and solved examples to illustrate every important principle.
Using updated terminology, this revision begins with a quick review of the essential properties of real numbers and gradually proceeds to more complex properties and topics, thus the basic ideas of real analysis are presented in a natural sequence. New additions include a chapter on metric spaces which contains various lucid examples, the topological framework--open and closed sets, convergence, completeness, compactness and connectedness--as well as numerous new exercises and solved examples to illustrate every important principle.
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