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Geometry pp 189-230 | Cite as

Area: A Look at Symplectic Geometry

  • Israel M. Gelfand
  • Tatiana Alekseyevskaya (Gelfand)
Chapter
  • 141 Downloads

Abstract

Chapter III is optional reading. It does not contain the formulas for calculating area that you may have studied at school. Calculation of areas of different figures based on formulas will be presented in Chapter IV. In this chapter we want to show that it is possible to introduce the area of a figure using only the operations from Chapters I and II, i.e., without introducing a measure of length.

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© The Authors 2020

Authors and Affiliations

  • Israel M. Gelfand
    • 1
  • Tatiana Alekseyevskaya (Gelfand)
    • 2
  1. 1.New BrunswickUSA
  2. 2.Rutgers, The State University of New JerseyHighland ParkUSA

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