Number, Shape, & Symmetry

Number, Shape, & Symmetry

An Introduction to Number Theory, Geometry, and Group Theory

Herrmann, Diane L.; Sally, Jr., Paul J.

Taylor & Francis Ltd

10/2024

444

Mole

9781032919805

Pré-lançamento - envio 15 a 20 dias após a sua edição

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The Triangle Game. The Beginnings of Number Theory. Axioms in Number Theory. Divisibility and Primes. The Division and Euclidean Algorithms. Variations on a Theme. Congruences and Groups. Applications of Congruences. Rational Numbers and Real Numbers. Introduction to Geometry and Symmetry. Polygons and Their Construction. Symmetry Groups. Permutations. Polyhedra. Graph Theory. Tessellations. Connections. Appendix. Glossary. Bibliography. Index.
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Additive Inverse;Symmetric Motions;number theory and geometry;Equilateral Triangle;introduction to Group Theory;Glide Reflections;Seminars for Endorsement in Science and Mathematics Education (SESAME);Residue Class Modulo;University of Chicago's Young Scholars Program;Digit Arithmetic;rules of arithmetic;Rotational Symmetry;divisibility, primes, and modular arithmetic;Regular Polygon;axioms for the integers;Convex Polygons;abstract notion of a group;Positive Divisor;rational numbers and real numbers;Practice Problem;ideas about infinity;Reflectional Symmetry;polygons and polyhedra;Commutative Ring;tessellation and patterns in the plane;Greatest Common Divisor;symmetry groups;Integral Domain;teaching and learning mathematics;Multiplicative Identity;Positive Rational Numbers;Symmetry Types;Constructible Numbers;Binary Operation;Side Sum;Eulerian Circuit;Multiplicative Inverse;Euclidean Algorithm;Check Digit