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MIT MIT-OCW

Number Theory I

LEVEL: ADVANCED · LICENSE: CC BY-NC-SA 4.0 · STATUS: [ FREE ]
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A graduate-level introduction to algebraic and analytic number theory from MIT OpenCourseWare, covering the first semester of a full-year sequence. The course draws on topology, complex analysis, representation theory, and algebraic geometry as it develops standard tools of the field, likely including topics such as number fields, ideals, valuations, and zeta functions typical of this MIT sequence. Materials include lecture notes and assignments as published through MIT's OpenCourseWare platform, free to access with no certificate offered. Intended for students who already have a solid grounding in abstract algebra, this is a rigorous entry point into modern number theory rather than a survey course, and it sets up the analytic techniques and algebraic structures that the second semester builds on.