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Famous Problems of Elementary Geometry

Felix Klein
Publisher: 
Dover Publications
Publication Date: 
2003
Number of Pages: 
112
Format: 
Hardcover
Price: 
32.50
ISBN: 
0486495515
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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Introduction
I. The Possibility of the Construction of Algebraic Expressions
  1. Algebraic Equations Solvable by Square Roots
  2. The Delian Problem and the Trisection of the Angle
  3. The Division of the Circle into Equal Parts
  4. The Construction of the Regular Polygon of 17 Sides
  5. General Considerations on Algebraic Constructions
II. Transcendental Numbers and the Quadrature of the Circle
  1. Cantor's Demonstration of the Existence of Transcendental Numbers
  2. Historical Survey of the Attempts at the Computation and Construction of pi
  3. The Transcendence of the Number e
  4. The Transcendence of the Number pi
  5. The Integraph and the Geometric Construction of pi
    Notes