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 firm logical foundation, and it is the
prototype for the axiomatic method that lies at the foundation of
modern mathematics. It has been taught to students for more than
two millennia as a model of logical thought. This book tells the
story of how the axiomatic method has progressed from Euclid's time
to ours, as a way of understanding what mathematics is, how we read
and evaluate mathematical arguments, and why mathematics has
achieved the level of certainty it has. It is designed primarily
for advanced undergraduates who plan to teach secondary school
geometry, but it should also provide something of interest to
anyone who wishes to understand geometry and the axiomatic method
better. It introduces a modern, rigorous, axiomatic treatment of
Euclidean and (to a lesser extent) non-Euclidean geometries,
offering students ample opportunities to practice reading and
writing proofs while at the same time developing most of the
concrete geometric relationships that secondary teachers will need
to know in the classroom.
General
Imprint: |
American Mathematical Society
|
Country of origin: |
United States |
Series: |
Pure and Applied Undergraduate Texts |
Release date: |
1900 |
Authors: |
John M. Lee
|
Dimensions: |
261 x 188 x 29mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
469 |
ISBN-13: |
978-0-8218-8478-2 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
|
LSN: |
0-8218-8478-6 |
Barcode: |
9780821884782 |
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