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Books > Science & Mathematics > Mathematics > Number theory
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Number, Shape, & Symmetry - An Introduction to Number Theory, Geometry, and Group Theory (Hardcover, New)
Loot Price: R2,909
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Number, Shape, & Symmetry - An Introduction to Number Theory, Geometry, and Group Theory (Hardcover, New)
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Through a careful treatment of number theory and geometry, Number,
Shape, & Symmetry: An Introduction to Number Theory, Geometry,
and Group Theory helps readers understand serious mathematical
ideas and proofs. Classroom-tested, the book draws on the authors'
successful work with undergraduate students at the University of
Chicago, seventh to tenth grade mathematically talented students in
the University of Chicago's Young Scholars Program, and elementary
public school teachers in the Seminars for Endorsement in Science
and Mathematics Education (SESAME). The first half of the book
focuses on number theory, beginning with the rules of arithmetic
(axioms for the integers). The authors then present all the basic
ideas and applications of divisibility, primes, and modular
arithmetic. They also introduce the abstract notion of a group and
include numerous examples. The final topics on number theory
consist of rational numbers, real numbers, and ideas about
infinity. Moving on to geometry, the text covers polygons and
polyhedra, including the construction of regular polygons and
regular polyhedra. It studies tessellation by looking at patterns
in the plane, especially those made by regular polygons or sets of
regular polygons. The text also determines the symmetry groups of
these figures and patterns, demonstrating how groups arise in both
geometry and number theory. The book is suitable for pre-service or
in-service training for elementary school teachers, general
education mathematics or math for liberal arts undergraduate-level
courses, and enrichment activities for high school students or math
clubs.
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