Description

Book Synopsis
Includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form). This book describes the notion of the area of a figure on the plane and the volume of a solid body in space.

Table of Contents
The story of the birth of manifolds: The prelude to the birth of manifolds The birth of manifolds The story of area and volume from everyday notions to mathematical concepts: Transition from the notion of "size" to the concept of "area" Scissors-congruent polygons Scissors-congruent polyhedra.

A Mathematical Gift Volume 3 The Interplay

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 7/30/2005 12:00:00 AM
      ISBN13: 9780821832844, 978-0821832844
      ISBN10: 0821832840

      Description

      Book Synopsis
      Includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form). This book describes the notion of the area of a figure on the plane and the volume of a solid body in space.

      Table of Contents
      The story of the birth of manifolds: The prelude to the birth of manifolds The birth of manifolds The story of area and volume from everyday notions to mathematical concepts: Transition from the notion of "size" to the concept of "area" Scissors-congruent polygons Scissors-congruent polyhedra.

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