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A Full Axiomatic Development of High School Geometry
Language: en
Pages: 140
Authors: David M. Clark
Categories: Mathematics
Type: BOOK - Published: 2023-02-13 - Publisher: Springer Nature

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This textbook provides a full and complete axiomatic development of exactly that part of plane Euclidean geometry that forms the standard content of high school
Axiomatic Geometry
Language: en
Pages: 490
Authors: John M. Lee
Categories: Mathematics
Type: BOOK - Published: 2013-04-10 - Publisher: American Mathematical Soc.

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The story of geometry is the story of mathematics itself: Euclidean geometry was the first branch of mathematics to be systematically studied and placed on a fi
An Axiomatic Development of the Number System for High School Students
Language: en
Pages: 45
Authors: William Rabinowitz
Categories: Axiomatic set theory
Type: BOOK - Published: 2002-05-01 - Publisher:

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This book begins with the natural number system 1, 2, 3... and zero. The natural number is enlarged by adding fractions defined by four axioms. This is followed
Euclidean Geometry
Language: en
Pages: 157
Authors: David M. Clark
Categories: Mathematics
Type: BOOK - Published: 2012-06-26 - Publisher: American Mathematical Soc.

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Geometry has been an essential element in the study of mathematics since antiquity. Traditionally, we have also learned formal reasoning by studying Euclidean g
Geometry: Euclid and Beyond
Language: en
Pages: 535
Authors: Robin Hartshorne
Categories: Mathematics
Type: BOOK - Published: 2013-11-11 - Publisher: Springer Science & Business Media

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This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements lead