Trench W.F. Introduction to Real Analysis

Free Hyperlinked Edition, 2012. — 583 pages.This book was published previously by Pearson Education.
This free edition is made available in the hope that it will be useful as a textbook or reference.
Reproduction is permitted for any valid noncommercial educational, mathematical,
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A complete instructor’s solutionmanual is available by email to wtrench@trinity.edu, subject.
to verification of the requestor’s faculty status.The Real Numbers.
Differential Calculus of Functions of One Variable.
Integral Calculus of Functions of One Variable.
Infinite Sequences and Series.
Real-Valued Functions of Several Variables.
Vector-Valued Functions of Several Variables.
Integrals of Functions of Several Variables.
Metric Spaces.
Answers to Selected Exercises.