By Donald J. Newman
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This e-book bargains 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 significant discussion approximately those matters in the overseas arithmetic schooling group.
The algebraic thoughts constructed by means of Kakde will in all probability lead ultimately to significant growth within the learn of congruences among automorphic varieties and the most conjectures of non-commutative Iwasawa thought for plenty of explanations. Non-commutative Iwasawa idea has emerged dramatically over the past decade, culminating within the fresh facts of the non-commutative major conjecture for the Tate intent over a wholly genuine p-adic Lie extension of a bunch box, independently by means of Ritter and Weiss at the one hand, and Kakde at the different.
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Additional info for Analytic Number Theory (Graduate Texts in Mathematics, Vol. 177)
Analytic Number Theory (Graduate Texts in Mathematics, Vol. 177) by Donald J. Newman