Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Fermat`s Last Theorem for regular primes
Document related concepts
History of mathematical notation wikipedia , lookup
Infinitesimal wikipedia , lookup
History of trigonometry wikipedia , lookup
Vincent's theorem wikipedia , lookup
Gödel's incompleteness theorems wikipedia , lookup
Sophie Germain wikipedia , lookup
Foundations of mathematics wikipedia , lookup
History of mathematics wikipedia , lookup
Elementary mathematics wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Georg Cantor's first set theory article wikipedia , lookup
Quadratic reciprocity wikipedia , lookup
Nyquist–Shannon sampling theorem wikipedia , lookup
Four color theorem wikipedia , lookup
Central limit theorem wikipedia , lookup
Brouwer fixed-point theorem wikipedia , lookup
Fundamental theorem of calculus wikipedia , lookup
Fundamental theorem of algebra wikipedia , lookup
List of important publications in mathematics wikipedia , lookup
Transcript
Supervisors Project Submission Form Supervisor: M D Coleman 1 Project Title Fermat's Last Theorem for regular primes. 2 Category Pure 3 Level 3/4 4 Semesters 2 5 Description 6 References Follow Stewart and Tall's book (preferably the 3rd edition, though the 2nd will suffice) to prove Kummer's special case of Fermat's Last Theorem when the exponent n in x^n + y^n = z^n is a “regular" prime. Looking at the chapter headings in the main reference [1] we find Algebraic numbers, quadratic and cyclotomic number fields, factorization, ideals, Minkowski's Theorem, Class-goups and class numbers. Only a selection of these topics will be covered in detail. 1. Stewart, I.N. and Tall, D.O. Algebraic Number Theory, Chapman and Hall [In the 3rd edition the main result is Theorem 11.4.] 2. Edwards, H.M. Fermat's Last Theorem, Springer-Verlag, Graduate Texts in Mathematics 50. [Up to Chapter 5]. 7 Prerequisite courses 8 Additional notes
