Description

Book Synopsis
Begins with reviews of Lebesgue integration and relevant topics in topology, including Frechet equivalence, the approximation of monotone maps by homeomorphisms, and Peano spaces. This title addresses the question that equates two sorts of areas for surfaces represented by maps of a 2-cell or a 2-sphere into 3-space.

Table of Contents
Background material Curves and surfaces Arc length and related topics Plane tranformations Surface area Bibliography Index.

Length and Area

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 12/30/1948 12:00:00 AM
      ISBN13: 9780821846216, 978-0821846216
      ISBN10: 0821846213

      Description

      Book Synopsis
      Begins with reviews of Lebesgue integration and relevant topics in topology, including Frechet equivalence, the approximation of monotone maps by homeomorphisms, and Peano spaces. This title addresses the question that equates two sorts of areas for surfaces represented by maps of a 2-cell or a 2-sphere into 3-space.

      Table of Contents
      Background material Curves and surfaces Arc length and related topics Plane tranformations Surface area Bibliography Index.

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