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Course Hours : MWF p. Location: Olin Number theory is obviously the study of numbers, particularly the study of whole numbers and rational numbers. In this course, we will study areas motivated by questions from ancient Greece, especially primes and prime factorization, congruences , Euler's function, quadratic reciprocity, primitive roots, solutions to polynomial congruences Chevalley's theorem , Diophantine equations including the Pythagorean and Pell equations, and Dirichlet's theorem on primes.

This site will disappear someday, but has been archived here. Course description: This is the second in a series of three courses, which is an introduction to algebraic and analytic number theory. Part A treated the basic properties of number fields: their rings of integers, unique factorization and its failure, class numbers, the Dirichlet unit theorem, splitting of primes, cyclotomic fields, and p -adic fields. Part B will continue with these topics, plus an introduction to class field theory the study of abelian extensions of number fields. In spring , Claus Sorensen will teach Math C.

It will be in our usual classroom and will cover everything from the beginning of the course till the end, with no intended bias towards the first or second half of the course. Please refer to the detailed plan of our lectures below for specifics of what was covered. Welcome to the course webpage for Math B.

Mathematics once you know it, you will love it!! We know most of us are afraid of mathematics because of its nature. But trust, math is as easy as other subjects. We also know you might be busy in your career or in your family and do not have much time to spend to learn mathematics. So, in order to assist you, we have started this math homework help website which will not only limit us to assist you in solving your math assignments step by step but we will help you in math online quizzes, math homework, math online exams.

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