ENGLISH

Undergraduate Analysis

By John Edgar Park

Book information

Publisher
Springer
Year
1996
ISBN
9780387001760, 038700176X
LCC
TR897.7 .P365 2005
Open Library ID
OL19291657M
Language
english
Format
PDF
Filesize
125 MB (131098068 bytes)
Series
Undergraduate Texts in Mathematics
Edition
2nd
Pages
665\665
Time added
2010-02-18 13:16:04

Description

This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. In this second edition, the author has added a new chapter on locally integrable vector fields, has rewritten many sections and expanded others. There are new sections on heat kernels in the context of Dirac families and on the completion of normed vector spaces. A proof of the fundamental lemma of Lebesgue integration is included, in addition to many interesting exercises.

Similar books