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Euclidean Geometry - A Guided Inquiry Approach (Paperback)
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Euclidean Geometry - A Guided Inquiry Approach (Paperback)
Series: MSRI Mathematical Circles Library
Expected to ship within 12 - 17 working days
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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 geometry. In this book, David Clark
develops a modern axiomatic approach to this ancient subject, both
in content and presentation. Mathematically, Clark has chosen a new
set of axioms that draw on a modern understanding of set theory and
logic, the real number continuum and measure theory, none of which
were available in Euclid's time. The result is a development of the
standard content of Euclidean geometry with the mathematical
precision of Hilbert's foundations of geometry. In particular, the
book covers all the topics listed in the Common Core State
Standards for high school synthetic geometry. The presentation uses
a guided inquiry, active learning pedagogy. Students benefit from
the axiomatic development because they themselves solve the
problems and prove the theorems with the instructor serving as a
guide and mentor. Students are thereby empowered with the knowledge
that they can solve problems on their own without reference to
authority. This book, written for an undergraduate axiomatic
geometry course, is particularly well suited for future secondary
school teachers. In the interest of fostering a greater awareness
and appreciation of mathematics and its connections to other
disciplines and everyday life, MSRI and the AMS are publishing
books in the Math Circles Library series as a service to young
people, their parents and teachers, and the mathematics profession.
General
Imprint: |
American Mathematical Society
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Country of origin: |
United States |
Series: |
MSRI Mathematical Circles Library |
Release date: |
March 2013 |
Authors: |
David M. Clark
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Dimensions: |
210 x 258 x 11mm (L x W x T) |
Format: |
Paperback
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Pages: |
127 |
ISBN-13: |
978-0-8218-8985-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Geometry >
General
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LSN: |
0-8218-8985-0 |
Barcode: |
9780821889855 |
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