Real analysis may be regarded as a formidable counterpart to calculus. It is a subject where one revisits notions encountered in calculus, but with greater rigor and sometimes with greater generality. Here, the authors provide a self-contained and rigorous introduction to the calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications.
INDICE: Preface.- Numbers and Functions.- Sequences.- Continuity and Limits.- Differentiation.- Applications of Differentiation.- Integration.- Elementary Transcendental Functions.- Applications and Approximations of Riemann Integrals.- Infinite Series and Improper Integrals.- References.- List of Symbols and Abbreviations.- Index.
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