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: Topology Without TearsTopology Without Tears
by
It provides a thorough grounding in general topology: introduction, topological spaces, the Euclidian topology, limit points, homeomorphisms, continuous mappings, metric spaces, compactness, finite products, countable products, Tychonoff's theorem.
(20132 views)
Book cover: TopologyTopology
by - Trinity College, Dublin
The lecture notes for course 212 (Topology), taught at Trinity College, Dublin. Topics covered: Limits and Continuity, Open and Closed Sets, Metric Spaces, Topological Spaces, Normed Vector Spaces and Functional Analysis, Topology in the Plane.
(11506 views)
Book cover: A First Course in Topology: Continuity and DimensionA First Course in Topology: Continuity and Dimension
by - American Mathematical Society
A focused introduction to point-set topology, the fundamental group, and the beginnings of homology theory. The text is intended for advanced undergraduate students. It is suitable for students who have studied real analysis and linear algebra.
(17472 views)
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.
(8877 views)