21-441 Number Theory

Units: 9.0 Department: Mathematical Sciences Prerequisites: 21-127 Related URLs: http://www.math.cmu.edu Number theory deals with the integers, the most basic structures of mathematics. It is one of the most ancient, beautiful, and well-studied branches of mathematics, and has recently found surprising new applications in communications and cryptography. Course contents: Structure of the integers, greatest common divisiors, prime factorization. Modular arithmetic, Fermat's Theorem, Chinese Remainder Theorem. Number theoretic functions, e.g. Euler's function, Mobius functions, and identities. Diophantine equations, Pell's Equation, continued fractions. Modular polynomial equations, quadratic reciprocity. 3 hrs. lec.

Popularity index Rank for this semester: #0 Rank in this department: #0   Students also scheduled 33-112 Physics II for Science Students 21-373 Algebraic Structures 80-100 What Philosophy Is 21-295 Putnam Seminar 21-127 Concepts of Mathematics 21-301 Combinatorics 21-300 Basic Logic 33-106 Physics I for Engineering Students 09-221 Laboratory I: Introduction to Chemi... 21-355 Principles of Real Analysis I

Spring 2005 times

No sections available for semester Spring 2005.