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Ian Stewart demonstrates symmetry's deep implications, describing how symmetry's applications range across the entire field of mathematics and how symmetry governs the structure of crystals, innumerable types of pattern formation, and how systems change their state as parameters vary. Symmetry is also highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and...
Author
Description
A mathematician draws on scientific findings about the role of symmetry in understanding the dynamic relationship between objects, exploring such topics as the theory of fundamental particles, the role of symmetry in evolutionary biology, and the discovery of an enormous dimensional space snowflake.
Author
Description
"Symmetry is a fundamental phenomenon in art, science, and nature that has been captured, described, and analyzed using mathematical concepts for a long time. Inspired by the geometric intuition of Bill Thurston and empowered by his own analytical skills, John Conway, together with his coauthors, has developed a comprehensive mathematical theory of symmetry that allows the description and classification of symmetries in numerous geometric environments....
5) The equation that couldn't be solved: how mathematical genius discovered the language of symmetry
Author
Description
Traces the four-thousand-year-old mathematical effort to discover and define the laws of symmetry, citing the achievements of doomed geniuses Niels Henrick Abel and Evariste Galois to solve the quintic equation and give birth to group theory.
Author
Description
A mathematical explanation of how art works, presented in a manner anyone can understand. Kimberly Elam takes the reader on a geometrical journey, lending insight and coherence to the design process by exploring the visual relationships that have foundations in mathematics as well as the essential qualities of life. She takes a close look at a broad range of twentieth-century examples of design, architecture, and illustration, revealing underlying...
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