FAMOUS PROBLEMS OF ELEMENTARY GEOMETRY
"Famous Problems in Elementary Geometry" by Felix Klein, and translated by W. W. Beman, of the University of Michigan and D. E. Smith of the Michigan State Normal College, is an authorized translation of "Vorträge Über Ausgewählte Fragen Der Elementargeometrie Ausgearbeitet Von F. Tägert", and treats of the three famous problems:
The duplication of the cube
The trisection of an angle
The quadrature of the circle.
The subject matter of this book was urged upon to the attention of the German association for the advancement of the teaching of mathematics and of the natural sciences at a meeting held at Göttingen by Felix Klein for the avowed purpose of bringing the study of mathematics in the university of that place into closer touch with the work of the gymnasium. "That Professor Klein is likely to succeed in this effort is shown by the favorable reception accorded his lectures by the association and the uniform commendation of the educational journals and the fact that translations into the French and Italian have already appeared."
One reason for this success lies in the fact that the treatment of these problems is in an elementary manner, not even the differential nor the integral calculus being required.
The method of their study being, in the main, to answer such questions as:
Under what circumstances is a geometric construction possible?
By what means can it be effected?
How can we prove that ϕ and π are transcendental?
The French translation referred to above was by Professor J. Griess, of Algiers.
In speaking of the object of presenting these problems in his own way, Felix Klein said: "The more precise definitions and more rigorous methods of demonstration developed by modern mathematics are looked upon by the mass of gymnasium professors as abstruse and excessively abstract and, accordingly as of importance only to a small circle of specialists."
To counteract this view and its tendencies, he undertook, the course of lectures already briefly referred to, which had for its object to show the possibilities of elementary geometric constructions as developed and used in modern science. It was reported that these lectures elicited great interest and the attendance on them was flatteringly large.
There is no question at all in regard to the wisdom of Felix Klein's plan of work and its large possibilities when in competent hands. It is the thing which needs to be done in our schools.
Present-day modern scholars in the mathematics might do wonders in this direction if such work were wisely undertaken.
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The duplication of the cube
The trisection of an angle
The quadrature of the circle.
The subject matter of this book was urged upon to the attention of the German association for the advancement of the teaching of mathematics and of the natural sciences at a meeting held at Göttingen by Felix Klein for the avowed purpose of bringing the study of mathematics in the university of that place into closer touch with the work of the gymnasium. "That Professor Klein is likely to succeed in this effort is shown by the favorable reception accorded his lectures by the association and the uniform commendation of the educational journals and the fact that translations into the French and Italian have already appeared."
One reason for this success lies in the fact that the treatment of these problems is in an elementary manner, not even the differential nor the integral calculus being required.
The method of their study being, in the main, to answer such questions as:
Under what circumstances is a geometric construction possible?
By what means can it be effected?
How can we prove that ϕ and π are transcendental?
The French translation referred to above was by Professor J. Griess, of Algiers.
In speaking of the object of presenting these problems in his own way, Felix Klein said: "The more precise definitions and more rigorous methods of demonstration developed by modern mathematics are looked upon by the mass of gymnasium professors as abstruse and excessively abstract and, accordingly as of importance only to a small circle of specialists."
To counteract this view and its tendencies, he undertook, the course of lectures already briefly referred to, which had for its object to show the possibilities of elementary geometric constructions as developed and used in modern science. It was reported that these lectures elicited great interest and the attendance on them was flatteringly large.
There is no question at all in regard to the wisdom of Felix Klein's plan of work and its large possibilities when in competent hands. It is the thing which needs to be done in our schools.
Present-day modern scholars in the mathematics might do wonders in this direction if such work were wisely undertaken.
FAMOUS PROBLEMS OF ELEMENTARY GEOMETRY
"Famous Problems in Elementary Geometry" by Felix Klein, and translated by W. W. Beman, of the University of Michigan and D. E. Smith of the Michigan State Normal College, is an authorized translation of "Vorträge Über Ausgewählte Fragen Der Elementargeometrie Ausgearbeitet Von F. Tägert", and treats of the three famous problems:
The duplication of the cube
The trisection of an angle
The quadrature of the circle.
The subject matter of this book was urged upon to the attention of the German association for the advancement of the teaching of mathematics and of the natural sciences at a meeting held at Göttingen by Felix Klein for the avowed purpose of bringing the study of mathematics in the university of that place into closer touch with the work of the gymnasium. "That Professor Klein is likely to succeed in this effort is shown by the favorable reception accorded his lectures by the association and the uniform commendation of the educational journals and the fact that translations into the French and Italian have already appeared."
One reason for this success lies in the fact that the treatment of these problems is in an elementary manner, not even the differential nor the integral calculus being required.
The method of their study being, in the main, to answer such questions as:
Under what circumstances is a geometric construction possible?
By what means can it be effected?
How can we prove that ϕ and π are transcendental?
The French translation referred to above was by Professor J. Griess, of Algiers.
In speaking of the object of presenting these problems in his own way, Felix Klein said: "The more precise definitions and more rigorous methods of demonstration developed by modern mathematics are looked upon by the mass of gymnasium professors as abstruse and excessively abstract and, accordingly as of importance only to a small circle of specialists."
To counteract this view and its tendencies, he undertook, the course of lectures already briefly referred to, which had for its object to show the possibilities of elementary geometric constructions as developed and used in modern science. It was reported that these lectures elicited great interest and the attendance on them was flatteringly large.
There is no question at all in regard to the wisdom of Felix Klein's plan of work and its large possibilities when in competent hands. It is the thing which needs to be done in our schools.
Present-day modern scholars in the mathematics might do wonders in this direction if such work were wisely undertaken.
The duplication of the cube
The trisection of an angle
The quadrature of the circle.
The subject matter of this book was urged upon to the attention of the German association for the advancement of the teaching of mathematics and of the natural sciences at a meeting held at Göttingen by Felix Klein for the avowed purpose of bringing the study of mathematics in the university of that place into closer touch with the work of the gymnasium. "That Professor Klein is likely to succeed in this effort is shown by the favorable reception accorded his lectures by the association and the uniform commendation of the educational journals and the fact that translations into the French and Italian have already appeared."
One reason for this success lies in the fact that the treatment of these problems is in an elementary manner, not even the differential nor the integral calculus being required.
The method of their study being, in the main, to answer such questions as:
Under what circumstances is a geometric construction possible?
By what means can it be effected?
How can we prove that ϕ and π are transcendental?
The French translation referred to above was by Professor J. Griess, of Algiers.
In speaking of the object of presenting these problems in his own way, Felix Klein said: "The more precise definitions and more rigorous methods of demonstration developed by modern mathematics are looked upon by the mass of gymnasium professors as abstruse and excessively abstract and, accordingly as of importance only to a small circle of specialists."
To counteract this view and its tendencies, he undertook, the course of lectures already briefly referred to, which had for its object to show the possibilities of elementary geometric constructions as developed and used in modern science. It was reported that these lectures elicited great interest and the attendance on them was flatteringly large.
There is no question at all in regard to the wisdom of Felix Klein's plan of work and its large possibilities when in competent hands. It is the thing which needs to be done in our schools.
Present-day modern scholars in the mathematics might do wonders in this direction if such work were wisely undertaken.
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FAMOUS PROBLEMS OF ELEMENTARY GEOMETRY
FAMOUS PROBLEMS OF ELEMENTARY GEOMETRY
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Product Details
| BN ID: | 2940016330969 |
|---|---|
| Publisher: | OGB |
| Publication date: | 03/21/2013 |
| Sold by: | Barnes & Noble |
| Format: | eBook |
| File size: | 4 MB |
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