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Number Theory

The Proof of the Riemann Hypothesis

Liberated from https://drive.google.com/file/d/14vy-LPYe-rytbnBVMpYBJM7mx17Wxoo6/view on Jan 23rd, 2019.---TypePDFSize126 KB (128,628 bytes)Storage used0 bytesOwned by undefinedLocationMy DriveOwnerAriel JacobsModifiedOct 12, 2018 by Ariel JacobsOpened12:52 PM by meCreatedOct 12, 2018No descriptionViewers can download

Nuggets of Number Theory: A Visual Approach

Nuggets of Number Theory will attract fans of visual thinking, number theory, and surprising connections. This book contains hundreds of visual explanations of results from elementary number theory. Figurate numbers and Pythagorean triples feature prominently, of course, but there are also proofs of Fermat's Little and Wilson's ...

An Experimental Introduction to Number Theory

This book presents material suitable for an undergraduate course in elementary number theory from a computational perspective. It seeks to not only introduce students to the standard topics in elementary number theory, such as prime factorization and modular arithmetic, but also to develop their ability to formulate and test pre...

Summing It Up: From One Plus One to Modern Number Theory

We use addition on a daily basis--yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer mat...

My Search for Ramanujan: How I Learned to Count (1st ed. 2016)

"The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the b...

Introduction to analytic number theory

Lecture notes for Math 229 at Harvard, compiled from individual pdfs. See http://www.math.harvard.edu/~elkies/M229.15/index.html