Symmetry

A Mathematical Exploration

Inbunden, Engelska, 2021

AvKristopher Tapp

689 kr

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By developing mathematical language to describe symmetry, this textbook equips readers to explore symmetries with precision, illuminating commonalities across art and science.Beginning with an exploration of intuitive notions of symmetry, the author introduces the algebraic structure of groups by examining rotations and reflections.

Produktinformation

Utgivningsdatum2021-08-29
Mått155 x 235 x 24 mm
Vikt582 g
FormatInbunden
SpråkEngelska
SerieTexts for Quantitative Critical Thinking
Antal sidor259
Upplaga2
FörlagSpringer Nature Switzerland AG
ISBN9783030516680

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Kristopher Tapp is Professor of Mathematics at Saint Joseph's University in Philadelphia. The recipient of numerous teaching awards, he is particularly interested in communicating ideas from mathematics to students in other fields. His research extends from differential geometry to the mathematical study of gerrymandering. Previous books include Differential Geometry of Curves and Surfaces, which appears in Undergraduate Texts in Mathematics.

Preface.- 1. Introduction to Symmetry.- 2. The Algebra of Symmetry.- 3. The Classification Theorems.- 4. Isomorphic Groups.- 5. Subgroups & 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.

“This book has much to recommend it. The material is presented clearly and enthusiastically … . there are a lot of well-chosen exercises, ranging from very easy to more challenging. … this is a well-written book, covering interesting material, that can serve a number of possible audiences. … many math majors will never have seen many of the topics discussed in this book … technical details by the instructor, serve as a useful text for a capstone course for majors.” (Mark Hunacek MAA Reviews, November 14, 2021)