Introductory Analysis, Second Edition, is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space * Bases most of the various limit concepts on sequential limits, which is done first * Defines function limits by first developing the notion of continuity (with a sequential limit characterization) * Contains a thorough development of the Riemann integral, improper integrals (including sections on the gamma function and the Laplace transform), and the Stieltjes integral * Presents general metric space topology in juxtaposition with Euclidean spaces to ease the transition from the concrete setting to the abstract New to This Edition * Contains new Exercises throughout * Provides a simple definition of subsequence * Contains more information on function limits and L'Hospital's Rule * Provides clearer proofs about rational numbers and the integrals of Riemann and Stieltjes * presents an appendix lists all mathematicians named in the text * Gives a glossary of symbolsTopics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space * Bases most of the various limit concepts on sequential limits, which is done first * Defines ...

Title | : | Introductory Analysis |

Author | : | J. A. Fridy |

Publisher | : | Gulf Professional Publishing - 2000-01 |

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