Logo

Homeomorphisms in Analysis by Casper Goffman, at al.

Large book cover: Homeomorphisms in Analysis

Homeomorphisms in Analysis
by

Publisher: American Mathematical Society
ISBN/ASIN: 0821806149
ISBN-13: 9780821806142
Number of pages: 216

Description:
This book features the interplay of two main branches of mathematics: topology and real analysis. The material of the book is largely contained in the research publications of the authors and their students from the past 50 years. Parts of analysis are touched upon in a unique way, for example, Lebesgue measurability, Baire classes of functions, differentiability, the Blumberg theorem, bounded variation in the sense of Cesari, and various theorems on Fourier series and generalized bounded variation of a function.

Home page url

Download or read it online for free here:
Download link
(preview available)

Similar books

Book cover: Quick Tour of the Topology of RQuick Tour of the Topology of R
by - University of Illinois at Chicago
These notes are a supplement for the 'standard undergraduate course' in Analysis. The aim is to present a more general perspective on the incipient ideas of topology encountered when exploring the rigorous theorem-proof approach to Calculus.
(9174 views)
Book cover: Notes on Introductory Point-Set TopologyNotes on Introductory Point-Set Topology
by - Cornell University
These are lecture notes from the first part of an undergraduate course in 2005, covering just the most basic things. From the table of contents: Basic Point-Set Topology; Connectedness; Compactness; Quotient Spaces; Exercises.
(8403 views)
Book cover: Nonstandard Analysis in TopologyNonstandard Analysis in Topology
by - arXiv
We present Nonstandard Analysis in the framework of the superstructure of a given infinite set. We also present several applications of this axiomatic approach to point-set topology. Some of the topological topics seem to be new in the literature.
(10368 views)
Book cover: General TopologyGeneral Topology
by - Université Paris VI
The aim of these lecture notes is to provide a short and self-contained presentation of the main concepts of general topology. Table of contents: Topological spaces; Metric spaces; Compact spaces; Banach spaces; Connectness and homotopy.
(9683 views)