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Probably the authoritative source for information on integer sequences, which arise primarily from combinatorics, number theory, and recreational mathematics. However, the often deep connections between mathematical patterns and those in the real world mean that numerous sequences can be identified in terms of physical or chemical phenomena, and most branches of mathematics are represented in some fashion.
 philosophy mathematics number theory integer combinatorics
It is called the Shimura-Taniyama-Weil (STW) conjecture, and it has baffled and defeated some of the greatest minds in maths over the last 40 years. The STW conjecture links two seemingly unrelated areas of mathematics: the theory of numbers and the theory of shapes or, as mathematicians prefer to call them, elliptic curves and modular forms. For decades, mathematicians have studied these subjects realising that there are deep connections...


 mathematics geometry number theory Fermat proof