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

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

""This beautifully produced book shows how number theory and geometry are essential components to understanding mathematics, with emphasis on teaching and learning such topics. The presentation is excellent and the approach to logic and proofs exemplary. ... The book accomplishes the rare...

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Bibliographic Details
Main Author: Herrmann, Diane L.
Other Authors: Sally, Jr., Paul J.
Format: eBook
Language:English
Published: Hoboken : CRC Press, 2012.
Subjects:
Geometry > Textbooks.
Number theory > Textbooks.
MATHEMATICS > Functional Analysis.
MATHEMATICS > Number Theory.
Number theory
Geometry
Geometry > Textbooks
Textbooks
Online Access:Click for online access
Table of Contents:
  • Front Cover; Dedication; Contents; Preface; Chapter 0: Warm- up: The Triangle Game; Chapter 1: The Beginnings of Number Theory; Chapter 2: Axioms in Number Theory; Chapter 3: Divisibility and Primes; Chapter 4: The Division and Euclidean Algorithms; Chapter 5: Variations on a Theme; Chapter 6: Congruences and Groups; Chapter 7: Applications of Congruences; Chapter 8: Rational Numbers and Real Numbers; Chapter 9: Introduction to Geometry and Symmetry; Chapter 10: Polygons and Their Construction; Chapter 11: Symmetry Groups; Chapter 12: Permutations; Chapter 13: Polyhedra.
  • Chapter 14: Graph TheoryChapter 15: Tessellations; Chapter 16: Connections; Appendix A: Euclidean Geometry Review; Glossary; Bibliography; Back Cover.

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