(1) Exercises in Modern Arithmetic (2) Notes on Algebra (3) The Teaching of Mathematics in Secondary Schools (4) Higher Algebra for Colleges and Secondary Schools (5) Non-Euclidean Geometry: A Critical and Historical Study of its Development (6) An Introduction to the Infinitesimal Calculus

Nature ◽  
1913 ◽  
Vol 90 (2261) ◽  
pp. 697-698
Keyword(s):  
Secondary Schools ◽  
Euclidean Geometry ◽  
Historical Study ◽  
Infinitesimal Calculus ◽  
Non Euclidean Geometry ◽  
Teaching Of Mathematics

The Teaching of Mathematics in the Elementary and the Secondary School

1909 ◽  
Vol 1 (4) ◽  
pp. 121-122
Author(s):  
Arthur Sullivan Gale
Keyword(s):  
Secondary School ◽  
Experimental Work ◽  
Euclidean Geometry ◽  
Geometric Analysis ◽  
Algebraic Equations ◽  
Algebraic Expressions ◽  
Formal Geometry ◽  
Non Euclidean Geometry ◽  
Teaching Of Mathematics ◽  
Class Room

The chapter on geometry (pp. 257-291) is excellent. lt presents ideas on geometric analysis, concrete and formal geometry, methods for treating problems, modern geometry, and non-Euclidean geometry. Especially important is the discussion of problems which lead to algebraic equations and the construction of simple algebraic expressions. A timely plea is made for experimental work and the usc of models and apparatus. As an example of their value, a Rochester teacher exhibited a sextant before a class one morning. A pupil borrowed it for the noon hour and became so enthusiastic in its use that he “cut” his afternoon classes to do some rough surveying. Contrast the interest which the inc;trument developed with the lack of enthusiasm which causes so many absences from the mathematical class-room! The chapter closes with an analysis of trigonometry and suggestions as to where its various parts should be taught.

scholarly journals “I have Learned Non-Euclidean Geometry Just from this Book” - Some facets of the correspondence between Friedrich Engel and David Hilbert

2021 ◽  
Vol 76 (3) ◽  
Author(s):  
Peter Ullrich
Keyword(s):  
Present Article ◽  
19Th Century ◽  
Euclidean Geometry ◽  
Academic Life ◽  
David Hilbert ◽  
Non Euclidean Geometry ◽  
The 19Th Century

AbstractFriedrich Engel and David Hilbert learned to know each other at Leipzig in 1885 and exchanged letters in particular during the next 15 years which contain interesting information on the academic life of mathematicians at the end of the 19th century. In the present article we will mainly discuss a statement by Hilbert himself on Moritz Pasch’s influence on his views of geometry, and on personnel politics concerning Hermann Minkowski and Eduard Study but also Engel himself.

scholarly journals Langevin simulations of protoplasmic streaming in non-Euclidean geometry

2021 ◽  
Vol 1730 (1) ◽  
pp. 012037
Author(s):  
Shuta Noro ◽  
Masahiko Okumura ◽  
Satoshi Hongo ◽  
Shinichiro Nagahiro ◽  
Toshiyuki Ikai ◽  
...  
Keyword(s):  
Euclidean Geometry ◽  
Protoplasmic Streaming ◽  
Non Euclidean Geometry

Practical Non-Euclidean Geometry

1925 ◽  
Vol 12 (177) ◽  
pp. 422 ◽  
Author(s):  
T. C. J. Elliott
Keyword(s):  
Euclidean Geometry ◽  
Non Euclidean Geometry

Anti-Geometry and NeutroGeometry Characterization of Non-Euclidean Data

2021 ◽  
pp. 24-33
Author(s):  
Prem Kumar Singh ◽  
Keyword(s):  
Euclidean Geometry ◽  
Current Paper ◽  
Data Sets ◽  
Knowledge Processing ◽  
Non Euclidean Geometry ◽  
Precise Representation

Recently, a problem is addressed while dealing with fourth dimensional or non-Euclidean data sets. These are the data sets does not follow one of the postulates established by Euclid specially the parallel postulates. In this case, the precise representation of these data sets is major issues for knowledge processing tasks. Hence, the current paper tried to introduce some non-Euclidean geometry or Anti-Geometry methods and its examples for various applications.

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