Groups and symmetry : A guide to discovering mathematics / David W. Farmer

By:

Farmer, David W

Material type: Text

9780821804506

Subject(s):

DDC classification:

23 511.33 FAR

Contents:

1. Squares, hexagons, and triangles 2. The rigid motions of the plane 3. Finite figures 4. Strip patterns 5. Wallpatterns 6. Finite groups 7. Cayley diagrams 8. Symmetry in the real world

Summary: Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far.

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Holdings
Item type	Current library	Collection	Call number	Vol info	Status	Notes	Date due	Barcode
Project book	CUTN Central Library Sciences	Non-fiction	511.33 FAR (Browse shelf(Opens below))	Vol. 5	Checked out to Renuka Devi V (20019T)	Project Books	31/01/2024	48906

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Previous	511.32 KLI Fuzzy sets, uncertainty, and information	511.322 AND Combinatorics of finite sets /	511.322 MOS Notes on set theory /	511.33 FAR Groups and symmetry : A guide to discovering mathematics /	511.352 GOL Computational complexity :	511.5 CHA Graphs & Digraphs /	511.5 CVE An introduction to the theory of graph spectra /	Next

1. Squares, hexagons, and triangles
2. The rigid motions of the plane
3. Finite figures
4. Strip patterns
5. Wallpatterns
6. Finite groups
7. Cayley diagrams
8. Symmetry in the real world

Mathematics is discovered by looking at examples, noticing patterns, making conjectures, and testing those conjectures. Once discovered, the final results get organized and put in textbooks. The details and the excitement of the discovery are lost. This book introduces the reader to the excitement of the original discovery. By means of a wide variety of tasks, readers are led to find interesting examples, notice patterns, devise rules to explain the patterns, and discover mathematics for themselves. The subject studied here is the mathematics behind the idea of symmetry, but the methods and ideas apply to all of mathematics. The only prerequisites are enthusiasm and a knowledge of basic high-school math. The book is only a guide. It will start you off in the right direction and bring you back if you stray too far.

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