Sets, Sequences and Mappings: The Basic Concepts of Analysis (Dover Books on Mathematics) (Paperback)

Sets, Sequences and Mappings: The Basic Concepts of Analysis (Dover Books on Mathematics) By Kenneth Anderson, Dick Wick Hall Cover Image
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Students progressing to advanced calculus are frequently confounded by the dramatic shift from mechanical to theoretical and from concrete to abstract. This text bridges the gap, offering a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces.
The first five chapters consist of a systematic development of many of the important properties of the real number system, plus detailed treatment of such concepts as mappings, sequences, limits, and continuity. The sixth and final chapter discusses metric spaces and generalizes many of the earlier concepts and results involving arbitrary metric spaces.
An index of axioms and key theorems appears at the end of the book, and more than 300 problems amplify and supplement the material within the text. Geared toward students who have taken several semesters of basic calculus, this volume is an ideal prerequisite for mathematics majors preparing for a two-semester course in advanced calculus.

About the Author

Both authors taught mathematics at Harpur College, State University of New York, at Binghamton.

Product Details
ISBN: 9780486474212
ISBN-10: 0486474216
Publisher: Dover Publications
Publication Date: October 1st, 2009
Pages: 208
Language: English
Series: Dover Books on Mathematics