material. The text assumes that the student has little background in mathematical analysis; therefore, the initial pace is slowed down. The proofs are formal, complete, and augmented by an informal and heuristic explanation. The author presents the subject in clear and evocative language, and includes treatment of the Lebesgue integral, a topic not usually found in texts of this level. Mathematical problems are included throughout the text and are designed to get the student involved at every stage. Key Features:* All the information introduced is proved by axioms* Extensive proofs are formal and complete* Includes a novel treatment of the Lebesgue Integral* Emphasis on developing proofs helps students acquire skills essential to subsequent courses

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