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Introduction -- Preliminaries -- The real numbers and completeness -- An inverse function theorem and its application -- Limits, sequences, and series -- Uniform continuity -- The Riemann integral -- Differentiation -- Sequences and series of functions -- The complex numbers and…
Real Analysis: A Constructive Approach Through Interval Arithmetic presents a careful treatment of calculus and its theoretical underpinnings from the constructivist point of view. This leads to an important and unique feature of this book: All existence proofs are direct, so sh…
