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
Auflage
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science Publishing Co Inc
Zielgruppe
Für höhere Schule und Studium
For researchers, professionals, the general public, and librarians who want to expand or enhance their knowledge of calculus limit theories.
Editions-Typ
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-12-267655-0 (9780122676550)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Kent State University, Ohio, U.S.A.
Introduction: Mathematical Statements and Proofs
Ordering of the Real Numbers
Sequence Limits
Completeness of the Real Numbers
Continuous Functions
Consequences of Continuity
The Derivative
The Riemann Integral
Improper Integrals
Infinite Series
The Riemann-Stieltjes Integral
Function Sequences
Power Series
Metric Spaces and Euclidean Spaces
Continuous Transformations
Differential Calculus in Euclidean Spaces
Area and Integration in E (2)
Appendix
A. Mathematical Induction
B. Countable and Uncountable Sets
C. Infinite Products
