Symmetry A Mathematical Exploration

This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler’s formula, irrational numbers, counta...

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Bibliographic Details
Main Author: Tapp, Kristopher
Format: eBook
Language:English
Published: New York, NY Springer New York 2012, 2012
Edition:1st ed. 2012
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • 1 Introduction to Symmetry
  • 2 The Algebra of Symmetry
  • 3 Isomorphism
  • 4 The Classification Theorems
  • 5 Subgroups and Product Groups
  • 6 Permutations
  • 7 Symmetries of Solid Objects
  • 8 The Five Platonic Solids
  • 9 Symmetry and Optimization
  • 10 What is a Number?
  • 11 Cantor's Infinity
  • 12 Euclidean Space
  • 13 Symmetry and Matrices
  • Index