WebbLecture Notes. The complete lecture notes Number Theory I (PDF - 2.7 MB) can be used as the online textbook for this course. Lecture 1: Absolute Values and Discrete Valuations (PDF) Lecture 2: Localization and Dedekind Domains (PDF) Lecture 3: Properties of Dedekind Domains and Factorization of Ideals (PDF) WebbNumber theory is a branch of mathematics dealing with whole numbers and their properties. Prime numbers, divisors and Diophantine equations, among others, are important related concepts. Applications of modern number theory are numerous, including topics that range from elliptic-curve cryptography to music theory. Prime …
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Lectures on Number Theory - Uppsala University
WebbNumber Theory 1 / 34 1Number Theory I’m taking a loose informal approach, since that was how I learned. Once you have a good feel for this topic, it is easy to add rigour. More formal approaches can be found all over the net, e.g:Victor Shoup, A Computational Introduction to Number Theory and Algebra. WebbNumber Theory 2 / 34 What is the most natural way of doing arithmetic in Z n? Given two elements x,y ∈Z n, we can add, subtract or multiply them as integers, and then the result … WebbIntuitively, since the only information that distinguishes the piles from one another is the number of stones in them, let's say that the Nim-value of a game that consists of only a single pile is p. We see that a single pile is a winning state … crystal meth users