By Titu Andreescu,Dorin Andrica,Zuming Feng
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This booklet deals a number of interconnected views at the mostly untapped strength of straightforward quantity concept for arithmetic schooling: its formal and cognitive nature, its relation to mathematics and algebra, its accessibility, its software and intrinsic benefits, to call quite a few. Its goal is to advertise explication and demanding discussion approximately those matters in the overseas arithmetic schooling neighborhood.
The algebraic options built by way of Kakde will very likely lead ultimately to significant growth within the research of congruences among automorphic varieties and the most conjectures of non-commutative Iwasawa conception for plenty of explanations. Non-commutative Iwasawa conception has emerged dramatically during the last decade, culminating within the fresh facts of the non-commutative major conjecture for the Tate purpose over a unconditionally genuine p-adic Lie extension of a host box, independently by way of Ritter and Weiss at the one hand, and Kakde at the different.
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Additional resources for 104 Number Theory Problems: From the Training of the USA IMO Team
104 Number Theory Problems: From the Training of the USA IMO Team by Titu Andreescu,Dorin Andrica,Zuming Feng