Symmetry : A Mathematical Exploration /

This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From the human body, to elaborate artworks and abstract networks, symmetry is ubiquitous in the world around us; it is essential to function and beauty across the built and natural world...

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Bibliographic Details
Main Author:	Tapp, Kristopher (Author)
Corporate Author:	SpringerLink (Online service)
Format:	eBook
Language:	English
Published:	Cham : Springer International Publishing : Imprint: Springer, 2021.
Edition:	2nd ed. 2021.
Series:	Texts for Quantitative Critical Thinking,
Subjects:	Group theory. Geometry. Mathematics. Social sciences. Group Theory and Generalizations. Mathematics in the Humanities and Social Sciences. Mathematics in Art and Architecture. Electronic books.
Online Access:	Connect to the full text of this electronic book

Table of Contents:

Preface
1. Introduction to Symmetry
2. The Algebra of Symmetry
3. The Classification Theorems
4. Isomorphic Groups
5. Subgroups and Product Groups
6. Permutation Groups
7. Symmetries of 3D Objects
8. The Five Platonic Solids
9. Symmetry and Optimization
10. What is a Number?
11. Excursions in Numbers
12. Rigid Motions as Functions
13. Rigid Motions as Matrices
Image Credits
Index.