(Pub. Date: 06-Dec-2023, PDF+DRM, Publisher: American Mathematical Society, ISBN-13: 9781470473440)
Number Theory Through the Eyes of Sophie Germain: An Inquiry Course is an innovative textbook for an introductory number theory course. Sophie Germain (1776-1831) was largely self-taught in mathematics and, two centuries ago, in solitude, devised and...More info...
(Pub. Date: 30-Jan-2021, PDF+DRM, Publisher: American Mathematical Society, ISBN-13: 9781470462796)
Have you ever wondered about the explicit formulas in analytic number theory? This short book provides a streamlined and rigorous approach to the explicit formulas of Riemann and von Mangoldt. The race between the prime counting function and the loga...More info...
(Pub. Date: 28-Feb-2015, PDF+DRM, Publisher: American Mathematical Society, ISBN-13: 9781470420413)
This book is an introduction to analytic number theory suitable for beginning graduate students. It covers everything one expects in a first course in this field, such as growth of arithmetic functions, existence of primes in arithmetic progressions,...More info...
(Pub. Date: 30-Jul-2014, PDF+DRM, Publisher: American Mathematical Society, ISBN-13: 9781470416614)
This beautiful book is about how to estimate large quantities-and why. Building on nothing more than first-year calculus, it goes all the way into deep asymptotical methods and shows how these can be used to solve problems in number theory, combinato...More info...