Introductory Analysis, Second Edition: The Theory of Calculus

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9780122676550: Introductory Analysis, Second Edition: The Theory of Calculus

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 edition. 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 edition. 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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