*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 symbols

*"synopsis" may belong to another edition of this title.*

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**Book Description **Elsevier Science Publishing Co Inc, United States, 2000. Hardback. Book Condition: New. 2nd Revised edition. 237 x 160 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AA59780122676550

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**Book Description **Elsevier Science Publishing Co Inc, United States, 2000. Hardback. Book Condition: New. 2nd Revised edition. 237 x 160 mm. Language: English . Brand New Book. 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. Bookseller Inventory # AA59780122676550

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