Number, shape, and symmetry : an introduction to number theory, geometry, and group theory / Diane L. Herrmann, Paul J. Sally, Jr.

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"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 synthesizes basic ideas that lead to an appreciation of the deeper mathematical ideas that grow from these foundations. The authors re...

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Bibliographic Details
Main Author: Herrmann, Diane, 1953-
Other Authors: Sally, Paul J., Jr., 1933-2013
Language:English
Published: Boca Raton, FL : A K Peters/CRC Press, [2013], ©2013.
Subjects:
Number theory > Textbooks.
Geometry > Textbooks.
Group theory > Textbooks.
MATHEMATICS / General.
MATHEMATICS / Number Theory.
MATHEMATICS / Functional Analysis.
Genre:
Textbooks.
Physical Description:xvii, 426 pages : illustrations ; 25 cm
Variant Title:
Number, shape, & symmetry. [Cover title]
Format: Book
Contents:
  • 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
  • A. Euclidean geometry review.