For "baby" analysis with single variable only. Appropriate for one term courses in analysis and advanced calculus. Text starts with a little logic and how to construct a proof. Revision features: material on the topology of the reals has been expanded and divided into two sections. Two optional sections on metric spaces and continuity in metric spaces have been added.
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A solid presentation of the analysis of functions of a real variable -- with special attention on reading and writing proofs.
Carefully focused on reading and writing proofs, this introduction to the analysis of functions of a single real variable helps readers in the transition from computationally oriented to abstract mathematics. It features clear expositions and examples, helpful practice problems, many drawings that illustrate key ideas, and hints/answers for selected problems. Logic and Proof. Sets and Functions. The Real Numbers. Sequences. Limits and Continuity. Differentiation. Integration. Infinite Series. Sequences and Series of Functions. For anyone interested in Real Analysis or Advanced Calculus.
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