Mathematics: The New Golden AgeDevelopments in mathematics which have taken place from 1960 to 1985. Includes prime numbers - sets - number systems - groups - complex numbers - knots; Beauty from chaos - simple groups - Hilbert's tenth problem - The four-colour problem - Fermat's last theory - Fibonacci__ |
Contents
Prime Numbers Factoring and Secret Codes | 1 |
Sets Infinity and the Undecidable | 28 |
Number Systems and the Class Number Problem | 52 |
Copyright | |
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Common terms and phrases
algebraic algorithm answer argument arithmetic attractor axiom system calculation Chapter class number clock group complex numbers concept configurations cube definition developed dimensions Diophantine equation divide edges elements equation x² Euler characteristic exactly example fact Farey sequence Fermat Fermat's Last Theorem Figure finite five colours formula four-colour four-colour problem four-dimensional fractals Gauss Gaussian integers geometric given Hilbert's infinite numbers instance involved Julia set knot group known listable Mandelbrot set manifold math mathematician mathematics matrices Mersenne primes Mertens conjecture method Möbius band multiplication natural numbers negative numbers number system number theory objects obtained Penguin perfect numbers polynomial possible prime numbers problem proof proved rational numbers real numbers region result Riemann hypothesis sequence set theory simple groups solved sphere square surface symmetries three-dimensional topological torus triangle Turing machine unavoidable set values vertex zero zeta function