Introductory Analysis: The Theory of Calculus

Fridy, John A.

ISBN 10: 0122676556 / ISBN 13: 9780122676550

Edité par Academic Press, 2000

A propos de cet article

Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less 1.29.

N° de réf. du vendeur G0122676556I3N00

Détails bibliographiques

• Titre: Introductory Analysis: The Theory of Calculus
• Éditeur: Academic Press
• Date de parution: 2000
• Langue: anglais
• ISBN à 10 chiffres: 0122676556
• ISBN à 13 chiffres: 9780122676550
• Reliure: Hardcover
• Édition: 2ème Édition
• État de l'article: Good
• État de la jaquette: No Jacket

A propos de ce titre

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

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