Numbers permeate every aspect of our lives; very little happens without a basic ability to manipulate the simple whole numbers we all take for granted. Beautifully illustrated with old engravings as well as contemporary imagery, Sacred Number introduces basic counting systems; significant numbers from major religious texts; the importance of astronomy, geometry, and music to nu...(展开全部)

The new edition of this thorough examination of the distribution of prime numbers in arithmetic progressions offers many revisions and corrections as well as a new section recounting recent works in the field. The book covers many classical results, including the Dirichlet theorem on the existence of prime numbers in arithmetical progressions and the theorem of Siegel. It also ...(展开全部)

Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged...(展开全部)

This introduction to algebraic number theory discusses the classical concepts from the viewpoint of Arakelov theory. The treatment of class theory is particularly rich in illustrating complements, offering hints for further study, and providing concrete examples. It is the most up-to-date, systematic, and theoretically comprehensive textbook on algebraic number field theory ava...(展开全部)

Ten-year-old Annemarie Johansen and her best friend Ellen Rosen often think of life before the war. It's now 1943 and their life in Copenhagen is filled with school, food shortages, and the Nazi soldiers marching through town. When the Jews of Denmark are "relocated," Ellen moves in with the Johansens and pretends to be one of the family. Soon Annemarie is asked to go on a dang...(展开全部)

在线阅读本书 This Newbery Medal Book describes how a ten-year-old Danish girl's bravery is tested when her best friend is threatened by Nazis in 1943.

The first part of this volume is based on a course taught at Princeton University in 1961-62; at that time, an excellent set of notes was prepared by David Cantor, and it was originally my intention to make these notes available to the mathematical public with only quite minor changes. Then, among some old papers of mine, I accidentally came across a long-forgotten manuscript b...(展开全部)