AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Length and Area
Tibor Radó

Colloquium Publications
1948; 572 pp; softcover
Volume: 30
ISBN-10: 0-8218-4621-3
ISBN-13: 978-0-8218-4621-6
List Price: US$104
Member Price: US$83.20
Order Code: COLL/30
[Add Item]

Request Permissions

Radó's colloquium is a systematic treatment of Lebesgue theory, with an emphasis on the work of Morrey and of Radó and his students, especially in two dimensions. At the time, there were important current problems surrounding Lebesgue's theory for parameterized and unparameterized surfaces, which the book addresses. The exposition begins with reviews of Lebesgue integration and relevant topics in topology, including Fréchet equivalence, the approximation of monotone maps by homeomorphisms, Peano spaces, and a discussion of the topological index of maps into the plane. After a development of further ideas and tools from topology and measure theory, Radó addresses an essential question that equates two sorts of areas for surfaces represented by maps of a 2-cell or a 2-sphere into 3-space.


Graduate students and research mathematicians interested in geometry and topology.

Table of Contents

  • Background material
  • Curves and surfaces
  • Arc length and related topics
  • Plane tranformations
  • Surface area
  • Bibliography
  • Index
Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments:
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia