Mathematical analysis is fundamental to the undergraduate
curriculum not only because it is the stepping stone for the study
of advanced analysis, but also because of its applications to other
branches of mathematics, physics, and engineering at both the
undergraduate and graduate levels. This self-contained textbook
consists of eleven chapters, which are further divided into
sections and subsections. Each section includes a careful selection
of special topics covered that will serve to illustrate the scope
and power of various methods in real analysis. The exposition is
developed with thorough explanations, motivating examples,
exercises, and illustrations conveying geometric intuition in a
pleasant and informal style to help readers grasp difficult
concepts. Foundations of Mathematical Analysis is intended for
undergraduate students and beginning graduate students interested
in a fundamental introduction to the subject. It may be used in the
classroom or as a self-study guide without any required
prerequisites.
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