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Groups and Symmetry Jonathan Alperin
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algebra analysis applications basic behavior Bernhard Riemann boundary calculation called century Clifford parallels colors complex numbers concept coordinate curve described differential differential geometry Diophantine equations economic equations equilibrium Euclidean Euclidean geometry example fact Figure finite Four-Color Conjecture function Gauss gene geodesic geometry given halting problem ideas John von Neumann large number Lie groups Lobachevskian logic manifold mathe mathematicians mathematics meteorology methods motions move normal map NP-complete number system number theory observations optimal pattern permutations physical plane players population possible precedence constraints prediction prime numbers probability processors proof prove random walk reducible configurations renewal theory result Riemann Riemann Hypothesis Riemannian rotation rules schedule sequential simple solutions space space-time SPRT square statistical step string structure symmetry tape tasks tensor theorem tion topology Turing-Post program unavoidable set University unsolvable variables vector vertex vertices whole numbers zero