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: 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.
(14012 views)
Book cover: Metric and Topological SpacesMetric and Topological Spaces
by - University of Cambridge
Contents: What is a metric?; Examples of metric spaces; Continuity and open sets for metric spaces; Closed sets for metric spaces; Topological spaces; Interior and closure; More on topological structures; Hausdorff spaces; Compactness; etc.
(5083 views)
Book cover: Real Variables: With Basic Metric Space TopologyReal Variables: With Basic Metric Space Topology
by - Institute of Electrical & Electronics Engineering
A text for a first course in real variables for students of engineering, physics, and economics, who need to know real analysis in order to cope with the professional literature. The subject matter is fundamental for more advanced mathematical work.
(58057 views)
Book cover: Introduction to TopologyIntroduction to Topology
by
Contents: Basic concepts; Constructing topologies; Connectedness; Separation axioms and the Hausdorff property; Compactness and its relatives; Quotient spaces; Homotopy; The fundamental group and some applications; Covering spaces; etc.
(8606 views)