Introductory Analysis: The Theory of Calculus - Couverture rigide

Fridy, John A.

 
9780122676550: Introductory Analysis: The Theory of Calculus

Synopsis

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

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9780155018457: Introductory Analysis: The Theory of Calculus

Edition présentée

ISBN 10 :  0155018450 ISBN 13 :  9780155018457
Editeur : Brooks/Cole, 1987
Couverture rigide