Elementary Analysis

The Theory of Calculus

Kenneth A. Ross

351 pages, parution le 01/04/2001

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Résumé

Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers.A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

Contents

Introduction
Sequences
Continuity
Sequences and Series of Functions
Differention
Integration
Appendix on Set Notation
Selected Hints and Answers

L'auteur - Kenneth A. Ross

University of Oregon, Eugene, OR

Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	Kenneth A. Ross
Parution	01/04/2001
Nb. de pages	351
Format	15,5 x 24
Couverture	Relié
Poids	659g
Intérieur	Noir et Blanc
EAN13	9780387904597
ISBN13	978-0-387-90459-7