Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and Group Theory

ISBN-13: 9781466554641 / Angielski / Twarda / 2012 / 444 str.

Paul J. Sally Jr; Diane Herrmann

Opis

This textbook shows how number theory and geometry are the essential components in the teaching and learning of mathematics for students in primary grades. The book synthesises basic ideas that lead to an appreciation of the deeper mathematical ideas that grow from these foundations.

Spis treści

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.