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well, obviously!
Feb. 7th, 2002 08:26 am | If I were a Springer-Verlag Graduate Text in Mathematics, I would be Serge Lang's Algebraic Number Theory. I cover all of the basic material of classical algebraic number theory, giving the student the background necessary for the study of further topics in algebraic number theory, such as cyclotomic fields, or modular forms. Part I introduces some of the basic ideas of the theory: number fields, ideal classes, ideles and adeles, and zeta functions. It also contains a version of a Riemann-Roch theorem in number fields, proved by Lang in the very first version of the book in the sixties. This version can now be seen as a precursor of Arakelov theory. Part II covers class field theory, and Part III is devoted to analytic methods, including an exposition of Tate's thesis, the Brauer-Siegel theorem, and Weil's explicit formulas. This new edition of me contains corrections, as well as several additions to the previous edition, and the last chapter on explicit formulas has been rewritten. Which Springer GTM would you be? |
Sam is the faithful servant of Frodo Baggins. He cares an awful lot about his master and would probably give his life for him. Though Sam meets many marvelous people as he journeys with Frodo, he still wishes he was back home in the Shire.