Famous Problems of Elementary Geometry by Felix Klein
Book Contents :-
Part-1 The Posibility 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
Part-II Transcendental Numbers and Quadrature of the Circle
1. Cantor's Demonstration of the Existence of Transcendental Numbers
2. Historical Servey of the Attemps at the Computation and Construciton of pai.
3. The Transcendence of the Number e.
4. The Transcendence of the Number pai
5. The Integraph and the Geometric Construciton of pai.
About this book :-
This book discussed the three famous geometric problems of antiquity. 1. the duplication of the cube, 2. the trisection of an angle, and 3. the quadrature of the circle, as viewed in the light of modern research. For a long time, mathematicians tried to solve these using only a straightedge and compass, but Klein explains using ideas from modern algebra and number theory why these constructions are actually impossible. The book also connects the history of geometry with the development of more advanced mathematical thinking. It’s a good book for students, teachers, and anyone interested in math history.
Book Detail :-
Title:
Famous Problems of Elementary Geometry by Felix Klein
Publisher:
Ginn and Co.
Year:
1897
Pages:
Type:
PDF
Language:
English
ISBN-10 #:
ISBN-13 #:
License:
N\A
Amazon:
Amazon
About Author :-
The author
Felix Klein
was a famous German mathematician. He made important discoveries in geometry and helped connect different areas of math. He cared a lot about teaching and wrote books to make hard math ideas easier to understand.
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