MATH 451 — Introduction to Algebraic Field Theory-Prerequisite MATH 354
Mathematics · University of Ghana
The famous problems of squaring the circle, doubling the cube and trisecting an angle captured the imagination of both professional and amateur mathematicians for over two thousand years. Despite the enormous effort and ingenious attempts by these men and women, the problems would not yield to purely geometrical methods. It was only the development of abstract algebra in the nineteenth century which enabled mathematicians to arrive at the surprising conclusion that these problems are impossible. Topics include: algebraic numbers. Extending fields. Towers of fields. Irreducible polynomials. Constructible numbers and fields. Transcendence of π and e. Residue rings and fields.
- Credits
- 3
- Level
- Level 400
- Semester
- Semester One
Other courses on this programme
- MATH 440 — Abstract Algebra II-Prerequisite MATH 354
- MATH 441 — Advanced Calculus-Prerequisite MATH 351 or MATH 353
- MATH 442 — Integration Theory and Measure –Prerequisite MATH 356
- MATH 443 — Differential Geometry-Prerequisite MATH 355
- MATH 444 — Calculus on Manifolds-Prerequisite MATH 441
- MATH 445 — Introductory Functional Analysis-Prerequisite MATH 356
- MATH 446 — Module Theory-Prerequisite MATH 440
- MATH 447 — Complex Analysis-Prerequisite MATH 223
- MATH 448 — Special Relativity- Prerequisite MATH 362
- MATH 449 — Electromagnetic Theory II-Prerequisite MATH 366
- MATH 450 — Differential Equations II-Prerequisite MATH 350
- MATH 452 — Introduction to Lie Groups and Lie Algebras- Prerequisite MATH 354
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Start freeCourse details from University of Ghana Volume 3 Handbook for the Bachelor's Degree: Course Descriptions for Programmes in the Sciences (2017).