Introduction to Cyclotomic Fields

B<strong>Introduction to Cyclotomic Fields</strong>B is a carefully written exposition of acentral area of number theory that can be used as a second course in ... » 

BIntroduction to Cyclotomic FieldsB is a carefully written exposition of acentral area of number theory that can be used as a second course in algebraicnumber theory. Starting at an elementary level the volume covers padic Lfunctions class numbers cyclotomic units Fermats Last Theorem andIwasawas theory of Z_pextensions leading the reader to an understanding ofmodern research literature. Many exercises are included. BRThe second editionincludes a new chapter on the work of Thaine Kolyvagin and Rubin including aproof of the Main Conjecture. There is also a chapter giving other recentdevelopments including primality testing via Jacobi sums and Sinnotts proofof the vanishing of Iwasawas finvariant. «