Symmetry: A Very Short IntroductionOUP Oxford, 30 mag 2013 - 160 pagine In the 1800s mathematicians introduced a formal theory of symmetry: group theory. Now a branch of abstract algebra, this subject first arose in the theory of equations. Symmetry is an immensely important concept in mathematics and throughout the sciences, and its applications range across the entire subject. Symmetry governs the structure of crystals, innumerable types of pattern formation, how systems change their state as parameters vary; and fundamental physics is governed by symmetries in the laws of nature. It is highly visual, with applications that include animal markings, locomotion, evolutionary biology, elastic buckling, waves, the shape of the Earth, and the form of galaxies. In this Very Short Introduction, Ian Stewart demonstrates its deep implications, and shows how it plays a major role in the current search to unify relativity and quantum theory. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable. |
Altre edizioni - Visualizza tutto
Parole e frasi comuni
addition algebra angles animal applied arranged associated atoms axis barchan basic called centre circle classification close colour combined complex composed concept consider consists contains corresponding cube cubies defined dimensions direction dunes edge elements equal equation exactly example exists faces field Figure finite five fixed four functions fundamental gaits galaxy geometry given group theory idea identity important integers isomorphic John kind known lattice laws leave legs look loops mathematical matrices mirror modulo moves multiplication natural normal observed occur origin particles patterns periodic permutation physics plane possible proof properties prove puzzle quantum quotient reflections regular result rigid motions roots rotation shape shows simple simple groups solid solution space specific spiral square standard structure subgroup symbols symmetry group Table theorem theory transformations translations triangle turn types waves wind